Patent Publication Number: US-2009231583-A1

Title: Local non-perturbative remote sensing devices and method for conducting diagnostic measurements of magnetic and electric fields of optically active mediums

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application is a continuation-in-part of application Ser. No. 11/900,948, filed Sep. 14, 2007. 
    
    
     TECHNICAL FIELD 
     Embodiments of the present invention are directed to devices and methods for remote non-perturbative and localized measurements of a field in an active medium. 
     BACKGROUND 
     A non-perturbative, spatially resolved measurement of the magnetic field deep within a high temperature magnetically confined plasma is very difficult and has only been achieved under special conditions at great effort. Just once, with a carefully tailored tokamak discharge and a special sensing apparatus has the internal magnetic field been directly detected, non-perturbatively, at a single location. See “Measurement of magnetic fields in a tokamak using laser light scattering” Forrest, M. G., Carolan, P. G. and Peacock, N. J. (1978). Nature 271:718. This one-off measurement has never been repeated. The prior art simply does not provide a devices or method that can be applied routinely or under general conditions to determine the local magnetic field. 
     In the field of plasma physics, relevant to magnetic fusion, knowledge of the magnetic field distribution throughout the plasma volume is crucial to understanding the key issues of magnetohydrodynamic (“MHD”) stability and energy transport. Since the 1950&#39;s, a major international collaboration has developed employing many hundreds of scientists world wide to understand the dynamics of magnetic confinement of plasmas with the goal of achieving controlled thermonuclear fusion. The subject is of immense importance since the field has a direct impact on the future energy resources available to society. In this time, an experimental means of directly measuring the internal magnetic field structure has been highly sought after but has not yet been attained. Only for the well developed tokamak confinement device have multiple diagnostic systems produced detailed knowledge of the internal magnetic field structure but no direct measurements of such. The problem is that fusion relevant plasmas have temperatures of approximately 100 million° C. or greater, representing an extremely hostile environment for direct measurement techniques. The next generation of laboratory plasmas promises to be even more challenging with the addition of radiation hazards from the production of significant amounts of fusion energy and high neutron fluxes making remote sensing of plasma parameters essential. Many conventional plasma diagnostic systems cannot be adapted to the harsh radiation environment of such a plasma. 
     An experimental determination of the spatial variation of the magnetic field is important for a number of reasons. The knowledge of the internal magnetic field distribution is equivalent to knowing the current distribution in the plasma. Much importance is placed on measuring the mid-plane magnetic q-profile or magnetic shear from the edge to the center of the plasma. Advanced tokamak scenarios involve controlling the q-profile to stabilize destructive modes that grow and terminate the plasma discharge. At present, sophisticated equilibrium codes are used which rely on a large number of diagnostic measurements, mostly external magnetic measurements, to infer the q-profile but with poor accuracy, poor localization, and poor response time. A means of rapidly determining the q-profile, in real time, is needed for feedback purposes in order to detect the presence and location of a destructive MHD instability so that the current profile can be quickly adjusted. The magnetic shear for tokamak plasmas is typically everywhere positive; however, reversed magnetic shear discharges have lately been reported but direct evidence is lacking and magnetic profile measurements are needed. Recently, tokamak discharges with current-less cores have been reported, but again, direct evidence and profile measurements are needed. The need for a non-perturbative, spatially resolved measurement of the internal magnetic field is just as urgent and contemporary today as it was 50 years ago. 
     In order to gain an appreciation of the exceptional attributes of the present invention one must look at the resources and effort employed in the magnetic fusion field to determine the plasma state. The largest tokamak, the Joint European Tokamak (“JET”) project, has an annual operating budget over $100 million. The main diagnostic systems in this discipline are: arrays of external magnetic field sensors (magnetic field probes, current and flux sensors), continuous wave (“CW”) laser polarimetry and interferometry, Thomson scattering, coherent scattering, reflectometry, motional Stark effect (“MSE”), beam emission spectroscopy (“BES”), laser induced fluorescence (“LIF”), Langmuir probes, internal magnetic field probes, soft X-ray tomography, bremsstrahlung emission, electron cyclotron emission (“ECE”) and magnetic field equilibrium codes (“EFIT”). For the plasma parameters the systems address, several are perturbative, several provide chord averaged measurements, and several are indirect being measurements outside the plasma volume but none provide a direct, non-perturbative measurement of a local magnetic field B. For larger tokamak experiments, most of the above systems are routinely used and correlated to infer local plasma parameters and indirectly, the local magnetic field inside the plasma. The next generation of larger devices are designed to have higher magnetic fields and higher plasma densities which, in general, pose more problems, especially for external measurements or diagnostics using beams: LIF, MSE, and BES and for material probes: magnetic field and Langmuir probes. The purely optical diagnostics are highly favored for future devices. 
     A short and necessarily incomplete overview of magnetic field sensing in plasmas follows. Material probes such as magnetic pickup coils have been successfully inserted into low temperature plasmas and measure the local magnetic field quite well. On fusion relevant devices, such probes poison the plasma, perturbing the plasma even when confined to the low temperature edge. Next, the CW polarimeter diagnostic exploits the magneto-optic activity known as the Faraday effect to measure a chord averaged electron density-(parallel) magnetic field product along the probe beam. The Faraday effect is only sensitive to the component of B parallel to the path of the probe beam, B ∥ . The measurement is non-perturbative but non-local and the two parameters, electron density and magnetic field, cannot be separately determined. A. CW polarimeter is usually combined with a laser interferometer to independently measure the chord averaged electron density along the same sightline. However the two chord averaged measurements cannot be combined to produce even a chord averaged magnetic field. Many CW polarimeter/interferometer sightlines are needed to resolve local details by tomographic means, a complex and costly proposition with a poor return on spatial resolution. Nevertheless, the CW polarimeter/interferometer diagnostic is considered essential on any large device. Today, the MSE diagnostic is being intensively pursued on mainstream tokamak devices as a viable direct measurement technique that can routinely provide local internal magnetic field measurements (q profiles). The MSE diagnostic requires a particle beam and so is perturbative. However, it has difficulty reaching deep locations in high temperature plasmas, suffers from low light levels, poor spatial and temporal resolution and its sightline is fixed to the particle beam. The MSE diagnostic is also difficult and expensive to implement and only viable on plasmas that are well understood and well diagnosed, essentially the tokamak. Lastly, magnetic equilibrium reconstruction can be used to infer the internal magnetic field distributions from magnetic field measurements (pickup coils, flux and current sensors) external to the plasma. The magnetic field is extrapolated from the outside inward. This technique is ill-conditioned only providing details just inside the plasma edge. Additional internal measurements of any plasma parameter significantly constrain the solution and inputs from all of the aforementioned diagnostics are used to more accurately determine local B. For plasmas that are not the mainstream tokamak or stellarator configurations, many of the above diagnostics are of much less utility. This is because the plasmas can be highly dynamic and transient, the plasma theory is less developed, the experimental access is different, the diagnostics are not amenable to the magnetic configuration or insufficient manpower is available. Nevertheless, these plasmas are important and are also being pursued as a means to achieve fusion energy. 
     The prior art that represents the present state of non-perturbative remote magnetic field sensing in plasmas is the well-known CW plasma polarimeter/interferometer instrument. That is not to say that CW plasma polarimetry/interferometry directly measures the magnetic field, far from it, but it does measure a quantity directly related to the magnetic field. The instrument measures the chord averaged electron density-(parallel)magnetic field product and the chord averaged density along a laser beam path (trajectory) through the plasma. From these two non-local measurements and assumptions about the density distribution, it is possible to draw some conclusions about the magnetic field distribution. In principle, if many such systems were employed, a local magnetic field and local density could be ascertained by tomographic means. For the required spatial resolution, such an undertaking would be out of the question, though multi-chord systems are in use. 
       FIG. 1  shows an isometric view of a schematic representation of a CW polarimeter/interferometer. The polarimetry part of the instrument includes, in elemental form, a light source  20 , emitting a continuous polarized collimated beam  18 , a directional coupler  26 , and a polarization detection system  10 . The CW polarimeter is sensitive to a magnetic field distribution  29  distributed in a remote magnetized plasma  28 . The directional coupler  26  can be a non-polarizing beamsplitter. The light source  20  need not be coherent for polarimetry and is linearly polarized. Some fraction (50%) of the polarized collimated beam  18  is transmitted through the directional coupler  26 , through the remote magnetized plasma  28 , along a beam axis  24 , retro-reflected by end mirror  22   b , doubles back along the beam axis  24  and some fraction (50%) is reflected (redirected) by the directional coupler  26  toward the polarization detection system  10 . A collimated output beam  25  is analyzed using a polarizing beam splitter  16  that spatially separates the collimated output beam  25  into two mutually orthogonal collimated analyzed output beams  15   a,b . Focusing lenses  14   a,b  focus the collimated analyzed output beams  15   a,b  onto optical detectors  12   a,b  producing electrical signals (voltage or current) proportional to the intensity of the collimated analyzed output beams  15   a,b . The rotation angle, α Cw , of the polarization of the collimated output beam  25  relative to the polarization state of the light source  20  is measured. The result for a magnetized plasma with electron density distribution, n e , and magnetic field distribution, B, is given by: 
     
       
         
           
             
               
                 
                   
                     
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     where L p  is the length (“chord length”) of the scene (“probe”) beam  23  in the remote magnetized plasma  28  and λ o  is the wavelength of the light source  20 . For a probe beam propagating at the speed of light c(3×10 8  m/s), the explicit time dependence varies with location s, as t(s)=s/c. Eq. 1 can be interpreted as follows: the polarization of the probe beam rotates an angle α CW (T) in the plane of polarization for a beam path (trajectory) in the magnetized plasma parameterized by path length, s, from the plasma edge (s=0) to the opposite edge, (s=L p ), and back again, and varies proportionally to the line integrated n e B ∥  product along the beam path. The time, T, is identified with the entire path integral, a duration of 2L p /c seconds. B ∥  and n e  are generally time dependent but assumed constant (quasi-static) on a time scale of 2L p /c and t(s) can be replaced by T in Eq. 1. The chord averaged rotation angle is &lt;α CW &gt;L p (T)=α CW (T)/2L p . Eq. 1 expresses the magneto-optic Faraday effect for magnetized plasmas using CW plasma polarimetry. The Faraday effect is exceptional in that the retro-reflected beam continues to accumulate rotation angle, doubling that of a single pass system. Eq. 1 is a simplified expression that assumes the frequency of the light source, v o (c/λ o ), is much higher than any cutoff frequency along the probe beam path. Without including interference from a reference beam  21 , the optical detectors  12   a,b  are sensitive to the intensity in the collimated analyzed output beam  15   a,b , conventionally labeled the s and p polarization channels. If the axis of the polarizing beam splitter  16  is oriented to be approximately 45° to the polarization of the light source, then the voltage difference, (V s −V p ), for balanced optical detectors  12   a  and  12   b  varies proportionally with 2α CW (T)I o (T) for small α CW (T) and the sum, (V s +V p ), to the total intensity, I o (T), of the collimated output beam  25 . The proportionality constants are obtained from the measured responsively (calibration) of the optical detectors  12   a,b.    
     Typically, a CW plasma polarimeter is combined with a CW interferometer  19  to simultaneously measure the chord averaged electron density over the same probe beam path. The interferometry part of the instrument includes, in elemental form, the light source  20 , emitting the continuous coherent polarized collimated beam  18 , the interferometer  19  and the phase-sensitive polarization detection system  10 . The light source need not be polarized for interferometry alone. The polarimeter/interferometer shown in  FIG. 1  uses a laser as the coherent light source  20  emitting the continuous coherent polarized collimated beam  18  at a prescribed wavelength and incorporates an interferometer  19  including a reference beam  21  with end mirror  22   a , a scene beam  23  with end mirror  22   b  and the directional coupler  26  (non-polarizing beam splitter). The scene beam  23  with the beam axis  24  intersects the remote magnetized plasma  28 . The directional coupler  26  redirects the beam axis  24  and combines the scene and reference beams onto the phase sensitive polarization detection system  10  comprising the polarizing beam splitter  16  which analyzes and spatially separates the polarized collimated beam  18  into two mutually orthogonal collimated analyzed output beams  15   a,b , focusing lenses  14   a,b  focuses the collimated analyzed output beams  15   a,b  onto optical detectors  12   a,b  producing electrical signals (voltage or current) proportional to the product of the electric field amplitudes of the reference and scene beams in their respective polarization channels. A relative phase difference between the reference and scene beams, due to the index of refraction of the remote magnetized plasma, produces an interference at the optical detectors. The optical detectors act as optical mixers and both the phase and amplitude of the interference is measured. The phase difference of either optical detector is given by: 
     
       
         
           
             
               
                 
                   
                     
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     Eq. 2 can be interpreted as follows: the phase difference between the reference beam and the scene beam, φ CW (T), for a path in the remote magnetized plasma parameterized by path length, s, from the plasma edge (s=0) to the opposite edge, (s=L p ), varies proportionally to the line integrated n e  along the path. The chord averaged phase is &lt;φ CW &gt;L p (T)=φ CW (T)/2L p  which yields a chord averaged electron density. The time, T, is identified with the entire path integral, a duration of 2L p /c seconds where n e  is assumed quasi-constant on a time scale of 2L p /c seconds. 
     For the combined CW polarimeter/interferometer instrument, the amplitudes of the interference for both s and p channels are used to determine the polarization state of the collimated output beam  25 , α CW (T). The difference in the amplitudes of the optical detector voltages for balanced detectors, &lt;V s &gt; amp −&lt;V p &gt; amp , is proportional to 2α CW (T)I o (T) for the polarizing beam splitter  16  axis set to 45° to that of the polarization of the light source  20  and the sum of the amplitudes, &lt;V s &gt; amp +&lt;V p &gt; amp  is proportional to I o (T), the intensity of the collimated output beam  25 . 
     Another type of the CW polarimeter/interferometer is an instrument configured as two independent polarization sensitive interferometers operating in the right(R) and left(L) circular polarization basis, yielding the two phase measurements φ R (T) and φ L (T). In this case, the sum (φ R +φ L ) is proportional to φ CW (T) and the difference (φ R −φ L ) to α CW (T). This illustrates that plasma polarimetry is, intrinsically, an interference effect and polarization sensitive interferometry is sufficient to measure both a chord averaged n e  and chord averaged n e B ∥  product. 
     The CW plasma polarimeter uses a continuous linearly polarized light source of determined wavelength, λ o , but the light source need not be coherent. The Faraday effect causes a progressive rotation in the polarization of the probe beam as it propagates in the magnetized plasma in the linear polarization basis. In a circularly polarized (“helicity”) basis, the Faraday effect can be viewed as a progressively increasing difference in phase between two coherent probe beams, one left circularly polarized, the other right. The two pictures can be reconciled by noting that a linearly polarized light source is the superposition of equal amplitudes of left and right circularly polarized light. In essence, the magneto-optic Faraday effect is an interference phenomenon between two coincident probe beams, one left, the other right circularly polarized, both naturally provided by a linearly polarized light source. The rotation angle, α CW , is the interference (difference in phase) between the two probe beams. The difference phase for two probe beams with the same beam path is immune to common mode phase (coherence) effects. A linearly polarized incoherent light source is sufficient for polarimetry because the necessary interfering components in the helicity basis are all naturally present in the right proportions. The difference phase, α CW , also lies in an orthogonal space (the plane of polarization) to that of the temporal phase. The λ o  dependence is the only connection between the temporal properties of the light source with rotation angle, α CW . 
     The CW plasma interferometer measures the difference in phase between the temporal phase of the scene beam and the reference beam at the optical detector. The phase measurement is subject to coherence effects since these two beams have different beam paths. The phase measurement is directly affected by the phase noise of the light source and phase noise introduced to either beam in such a way that is not common to both beams. 
     Another remote sensing, non-perturbative diagnostic in this field is the Thomson scattering LIDAR(LIght Detection and Ranging) instrument but this diagnostic does not exploit the polarization of the light source or contribute to the remote sensing of the magnetic field. A LIDAR Thomson scattering instrument is employed on the JET tokamak to measure the local electron density distribution, n e (s), and the local electron temperature distribution, T e (s), from the intensity and spectral distribution, respectively, of backscattered light induced by a propagating light pulse in the plasma along the light pulse beam path. The location of the measurements are given by time-of-flight and the spatial resolution is determined by the light pulse length and the response time of the optical detector. The instrument is ideal for remote sensing of n e (s) and T e (s) in future devices. 
     SUMMARY 
     Various embodiments of the present invention are directed to pulsed polarimeters that can be used for conducting remote, non-perturbative diagnostic measurements of inducing fields of a medium demonstrating induced optical activity. In one aspect of the present invention, a pulse polarimeter comprises a light source and a light gathering optical system. The light source is configured to emit a polarized light pulse having sufficiently narrow spatial extent and at a prescribed wavelength, and the light gathering optical system includes a light gathering optic having a optic axis directed toward the medium and positioned so that a predetermined solid angle of an emission from the medium is collected and collimated into a collimated emission beam, wherein the light gathering optic preserves the polarization state of the emission. The pulse polarimeter also includes a directional coupler and a polarization detection system. The directional coupler is configured to make coincident the propagation direction of the polarized light pulse with the optic axis of the light gathering optic and direct the polarized light pulse toward the medium. The polarization detection system is configured to measure the intensity and determine the polarization state of the collimated emission beam continuously in time as the polarized light pulse transits the medium, wherein the intensity and polarization state can be used to determine the inducing fields. 
    
    
     
       BRIEF DESCRIPTION OF DRAWINGS 
         FIG. 1  shows a schematic representation of a perspective view of a continuous wave polarimeter/interferometer. 
         FIG. 2A  shows a schematic representation of a pulsed polarimeter in accordance with embodiments of the present invention. 
         FIG. 2B  shows a perspective view of components of a pulsed polarimeter in accordance with embodiments of the present invention. 
         FIG. 3  shows a schematic representation of a perspective view of a second pulsed polarimeter in accordance with embodiments of the present invention. 
         FIGS. 4   a - 4   d  show schematic representations of four different light gathering optical systems, each schematic representation in accordance with embodiments of the present invention. 
         FIG. 5  shows an illustration of the pulsed polarimeter measurements of local intensity and local rotation angle as sampled data in time in accordance with embodiments of the present invention. 
         FIG. 6  shows an illustration of the reduced data from the pulsed polarimeter measurements of  FIG. 4  as sampled profile measurements of density and magnetic field together with the modeled density and field inputs in accordance with embodiments of the present invention. 
       
         
           
             
                 
               
                 
                     
                 
                 
                   Drawings - Reference Numerals 
                 
                 
                     
                 
               
              
                 
                   FIG. 1 Prior Art 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   10 
                   polarization detection system 
                   12a, b 
                   optical detector 
                 
                 
                   14a, b 
                   focusing lens 
                   15a, b 
                   collimated analyzed output beam 
                 
                 
                   16 
                   polarizing beam splitter 
                   18 
                   polarized collimated beam 
                 
                 
                   19 
                   interferometer 
                   20 
                   light source 
                 
                 
                   21 
                   reference beam 
                   22a, b 
                   end mirror 
                 
                 
                   23 
                   scene beam 
                   24 
                   beam axis 
                 
                 
                   25 
                   collimated output beam 
                   26 
                   directional coupler 
                 
                 
                   28 
                   remote magnetized plasma 
                   29 
                   magnetic field distribution 
                 
              
             
             
                 
              
                 
                   FIG. 2A 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   90 
                   light source 
                   91 
                   polarized light pulse 
                 
                 
                   92 
                   directional coupler 
                   93 
                   light pulse induced emission 
                 
                 
                   94 
                   remote optically active medium 
                   95 
                   optic axis 
                 
                 
                   96 
                   light gathering optical system 
                   97 
                   collimated emission beam 
                 
                 
                   98 
                   polarization detection system 
                 
              
             
             
                 
              
                 
                   FIG. 2B 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   30 
                   polarization detection system 
                   31a, b 
                   collimated polarized beam 
                 
                 
                   32a, b 
                   optical detector 
                   34a, b 
                   focusing lens 
                 
                 
                   36 
                   polarizing beam splitter 
                   37 
                   collimated emission beam 
                 
                 
                   38 
                   propagation path 
                   42a, b, c 
                   polarized light pulse 
                 
                 
                   44 
                   optic axis 
                   46 
                   directional coupler 
                 
                 
                   48 
                   light source 
                   49 
                   light gathering optic 
                 
                 
                   50 
                   light gathering optical system 
                   51 
                   collimating optic 
                 
                 
                   52 
                   solid angle 
                   54 
                   remote magnetized plasma 
                 
                 
                   55 
                   light pulse induced emission 
                   56 
                   magnetic field distribution 
                 
              
             
             
                 
              
                 
                   FIG. 3 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   60 
                   magnetic field distribution 
                   62 
                   remote magneto-optic medium 
                 
              
             
             
                 
              
                 
                   FIG. 4a 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   64 
                   light gathering optic 
                   65 
                   collimated emission beam 
                 
                 
                   66 
                   solid angle 
                   67 
                   collimating optic 
                 
                 
                   68 
                   optic axis 
                   69 
                   light source 
                 
                 
                   70 
                   directional coupler 
                   71 
                   propagation path 
                 
              
             
             
                 
              
                 
                   FIG. 4b 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   72 
                   directional coupler 
                   74 
                   collimating optic 
                 
              
             
             
                 
              
                 
                   FIG. 4c 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   76 
                   light gathering optic 
                   78 
                   collimating optic 
                 
                 
                   80 
                   directional coupler 
                 
              
             
             
                 
              
                 
                   FIG. 4d 
                 
              
             
             
                 
                 
                 
                 
              
                 
                   82 
                   light gathering optic 
                   84 
                   collimating optic 
                 
                 
                   86 
                   directional coupler 
                 
                 
                     
                 
              
             
           
         
       
     
    
    
     DETAILED DESCRIPTION 
     Various embodiments of the present invention are directed to devices and method for determining, at a distance, the distribution of an inducing field associated with a medium demonstrating induced optical activity to a prescribed spatial resolution and accuracy without perturbing the medium. The medium can be a magnetized plasma, a magneto-optic medium, or an electro-optic medium and the inducing field can be a magnetic field or an electric field. A medium demonstrates induced optical activity when a birefringence is induced by the presence of a magnetic field or electric field in the medium, producing a measurable effect on the transmission of polarized light in the medium. Embodiments of the present invention rely on a spatially narrow powerful polarized light pulse from a light source to produce optical emission in the medium. The light pulse induced emission in the backward direction (backscatter) is collected and collimated onto an optical detection system. The polarization state of the collected backscattered emission can be analyzed using a polarimeter (ellipsometer) and the intensity can be measured using a calibrated optical detector. The term “polarimeter detector,” or “polarimeter,” is a device that determines the complete polarization state of the emission. The emission, in general, can be elliptically polarized and may be specified by two parameters, the polarization azimuth, α, and an ellipticity angle, δ. A polarimeter can determine both α and δ, the intensity of the polarized emission, and the intensity of any unpolarized component if present. The measurements of the polarization state and intensity, measured continuously in time as the light pulse transits the medium, are used to infer the local strength of the inducing field and electron density along the trajectory of the light pulse in the medium. The location of the measurements is given by time-of-flight. The spatial resolution of the magnetic field and density distributions can be determined by the length of the light pulse and the time resolution of the optical detector. The measurement of the inducing field along the trajectory of the light pulse can be obtained remotely from the medium without the introduction of any foreign material into the medium other than the light pulse itself. 
     Method embodiments of the present invention are subsequently referred to as pulsed polarimetry and device embodiments of the invention are referred to as a pulsed polarimeter. In the various embodiments of the present invention described below, a number of structurally similar components comprising the same materials have been identified by the same reference numerals and, in the interest of brevity, an explanation of their structure and function is not repeated. 
       FIG. 2A  shows a schematic representation of a pulsed polarimeter in accordance with embodiments of the present invention. The pulsed polarimeter includes a light source  90 , a directional coupler  92 , a light gathering optical system  96 , and a polarization detection system  98 . The pulsed polarimeter shown in  FIG. 2A  represents one of many configuration embodiments of the present invention that can be used to perform a remote, non-perturbative, local measurement of the inducing field in a remote optically active medium  94 . The light source  90  emits an intense, polarized light pulse  91  of a sufficiently narrow spatial extent at a prescribed wavelength to the directional coupler  92 . The directional coupler  92  is configured to make coincident the propagation path of the polarized light pulse with the optic axis  95  of the light gathering optical system  96  and direct the polarized light pulse toward the remote optically active medium  94 , which, in turn, induces a light pulse induced emission  93 , backscattered toward the light gathering optical system  96 . The light gathering optical system  96  collimates the light pulsed induced emission  93  into a collimated emission beam  97  while preserving the polarization state of the light pulsed induced emission  93  and directs the collimated emission beam  97  to the polarization detection system  98 . Based on the polarization state and intensity of the collimated emission beam  97  determined by the polarization detection system  98  as the light pulse transits the remote optically active medium  94 , the magnetic field in the remote optically active medium can be assessed along the trajectory of the light pulse in the medium. 
       FIG. 2B  shows a perspective view of components of a pulsed polarimeter in accordance with embodiments of the present invention. As shown in  FIG. 2B , a light source  48  can be a laser that emits an intense, linearly polarized light pulse  42   a,b,c  of sufficiently narrow spatial extent at a prescribed wavelength. The polarized light pulse  42   a  is emitted from the light source  48  along its propagation path  38  and can be steered by a directional coupler  46  to coincide with an optic axis  44  of a light gathering optic  49  of a light gathering optical system  50 . The directional coupler  46  can be a plane mirror. The light gathering optical system  50  includes the light gathering optic  49  and a collimating optic  51 . The light gathering optic  49  collects a prescribed finite solid angle  52  of light pulse induced emission  55 , also called “backscatter,” from a remote magnetized plasma  54  and focuses the emission onto the collimating optic  51 . The collimating optic  51  produces a highly collimated emission beam  37  that is transmitted through a hole in the light gathering optic  49  toward a polarization detection system  30 . The light gathering optical system  50  continuously images the propagating polarized light pulse  42   c  along its trajectory in the remote magnetized plasma  54  and, importantly, preserves the polarization state of the light pulse induced emission  55  as the polarization state of the collimated emission beam  37 . The optic axis  44  can be aimed to intersect the remote magnetized plasma  54  with a pulse trajectory along which a magnetic field distribution  56  is to be determined. The polarization detection system  30  includes a polarizing beam splitter  36 , focusing lenses  34   a,b , and optical detectors  32   a,b . The polarization state and intensity of the collimated emission beam  37  is determined using the polarization detection system  30  continuously over the transit time of the polarized light pulse  42   c  in remote magnetized plasma  54 . The polarizing beam splitter  36  spatially separates the collimated emission beam  37  into two mutually orthogonal linearly polarized collimated polarized beams  31   a,b . Focusing lenses  34   a,b  condense the collimated polarized beams  31   a,b  onto the optical detectors  32   a,b  producing an electrical signal (voltage or current) proportional to the intensity of their respective polarization channels. 
     Theory Supporting Embodiments of the Present Invention 
     The operation of embodiments of the present invention for the remote, non-perturbative local measurement of the magnetic field in a magneto-optically active medium proceeds from combining attributes of two physical phenomena that are quite generally present in many optically transmissive media. The two phenomena and their associated attributes are: 
     I) Light Propagating in a Medium Induces Optical Scattering. 
     Attribute of I) Optical backscatter induced by a probe beam at a given location in the medium is identical in nature to that produced by a partial retro-reflection of the probe beam by a plane mirror at that location along the propagation path. More to the point, induced optical backscatter inherits the polarization of the inducing probe beam. 
     II) The Magneto-Optic Faraday Effect is Generally Manifested by Nearly all Media. 
     Attribute of II) The Faraday effect is non-reciprocal implying that the sense of rotation of the polarization of light propagating in the medium is independent of the direction of propagation. 
     These are the two key properties that allow the prior art to be generalized with respect to embodiments of the present invention. Taken alone, the two physical phenomena and their attributes seem like innocuous properties of optically transparent media but when combined form a powerful diagnostic tool. These physical principles will now be elucidated and used to explain the operation of embodiments of the present invention. 
     The Faraday Effect 
     The Faraday effect denotes a circular birefringence induced by a magnetic field, B, in the magnetized medium—where the characteristic modes of the magnetized medium become the left and right circularly polarized states with differing refractive indices. The magnetic field gives preference to one handedness over the other due to the electrons gyrating about B. The difference in refractive indices sets the strength of the Faraday effect which is proportional to B ∥ (B·ŝ), the projection of the magnetic field onto the propagation direction, ŝ, of the probe beam. A linearly polarized probe beam is the superposition of the two circularly polarized probe beams (characteristic modes) with equal amplitude. As these two modes propagate an incremental distance, ds, in the magnetized medium, an incremental relative phase delay between these modes results, producing an incremental rotation, dα, in the plane of polarization of the probe beam in the linear polarization basis. 
     The Faraday effect is non-reciprocal. A retro-reflection of the probe beam by a plane mirror as with the end mirror  22   b  retro-reflecting the scene beam  23  of  FIG. 1 , interchanges the circularly polarized states which would undo the rotation on the reflected path if the orientation of the magnetic field with respect to the reflected beam were not also reversed. The combination of mode interchange and field reversal maintains the same sense of rotation for the reflected path as for the forward path. 
     The Faraday effect is present in many optically transmissive media and is quantified by V, the Verdet optical constant. The Verdet constant can be as high as 100 rad/T-m for special magneto-optic materials such as Faraday rotator glass. For a magnetized plasma, the Faraday effect is not constant but is proportional to the n e  and B distributions as given by: 
     
       
         
           
             
               
                 
                   
                     α 
                      
                     
                       ( 
                       
                         l 
                         , 
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                   = 
                   
                     2.63 
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                       λ 
                       o 
                       2 
                     
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                   . 
                   
                       
                   
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                   3 
                 
               
             
           
         
       
     
     for a probe beam propagating in the magnetized plasma. Eq. 3 can be interpreted as before: the polarization of the probe beam rotates an angle α(l,T) in the plane of polarization as the probe beam propagates along a path parameterized by path length, s, from the plasma edge (s=0) to a location, s=1, in the magnetized plasma proportionally to the line integrated n e B ∥  product along the path. The time, T, is identified with the entire path integral, a duration of l/c seconds. The time along the path is given by t(s)=s/c. The proportionality constant has a strong quadratic dependence on the wavelength of the light source, λ o . The prior art CW polarimeter measures α(L p ,T) for a single pass and 2α(L p ,T) for the double pass according to attribute of II). This formula is valid if the frequency of the light is far above any cutoff frequency along the path. n e  and B ∥  are generally time dependent but assumed constant (“quasi-static”) on a time scale of l/c. In this case, t(s) can be replaced by T in Eq. 3. 
     Eq. 3 differs from Eq. 1 in that the path integral stops at an interior location l(&lt;L p ) of the magnetized plasma. This is achieved in the present invention by propagating a spatially localized polarized light pulse through the plasma with sufficient intensity to induce a measurable amount of emission at location l. Sensing properties of the optical emission induced by the light pulse within the plasma as opposed to sensing properties of the light itself, as in the prior art CW plasma polarimeter, has profound implications. For one, the sensed property is localized to a location inside the plasma, in this case, α(l,T), as a path integral up to location l. Second, a signal is only present when the light pulse is in the medium and is stronger at locations with higher local density as opposed to the prior art CW polarimeter where the intensity of the beam is constant whether or not a plasma is present. It is this second property that allows a simultaneous determination of the local density at location l of the plasma. The pulsed polarimeter makes the most efficient use of the polarization detection system by spatially resolving both the rotation angle and plasma density. 
     It is not at all evident that the induced optical scatter from the polarized light pulse can provide the necessary details of the polarization state of the polarized light pulse at location l. But, for scattering in the backward direction (backscatter) it is the case. The pulsed polarimeter measures the polarization of the backscattered light induced by the polarized light pulse as it propagates along its trajectory through the plasma. Invoking the attribute of I), the backscattered light inherits its polarization direction from the polarization of the polarized light pulse at location l, α(l,T), as given by Eq. 3. The backscattered light approximately retraces the beam trajectory acquiring an additional rotation angle α r (l,T) according to the attribute of II), the subscript r denotes a reversal of direction. If the magnetic field and density are quasi-static on a 2l/c time scale, then α r (l,T)=α(l,T) and the pulsed polarimeter measurement is 2α(l,T). The time, T, is identified with both path integrals, a duration of 2l/c seconds. An illustration of a time trace of rotation angle Vs the delay time relative to the plasma edge, Δt, for a pulsed polarimeter is shown in  FIG. 5 . The diamond point on the trace corresponds to the light pulse positioned at the plasma edge(s=L p ) and corresponds with the one and only measurement of the prior art CW plasma polarimeter, 2α(L p ,T)=α CW (L p ,T). The delay time scale, Δt, can be converted to a distance scale, l=cΔt/2, from the edge of the plasma noting that backscatter at the far edge, induced at time L p /c, takes an additional L p /c seconds to arrive at the detector or 2L p /c total. The transit time, 2L p /c, is so short (6.6 ns/m) that the magnetic field and density profiles can be assumed quasi-static for most applications. The quasi-static assumption is also a basic assumption of the prior art CW polarimeter/interferometer instrument. 
     The rotation angle formula, Eq. 3, can be solved for the n e B ∥ (l) product profile at time T and is given by: 
     
       
         
           
             
               
                 
                   
                     
                       
                         
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                   4 
                 
               
             
           
         
       
     
     The desired local quantity n e B ∥ (l,T) is proportional to the differential change of α, dα, per differential change in path length, ds, which encapsulates the magneto-optic Faraday effect with regards to pulsed polarimetry. One way to view the result is that the rotation angle trace, α(l,T), has been dissected or partitioned into pieces, an incremental rotation angle, Δα(l,T)=5.26×10 −13  λ o   2  n e B ∥ (l,T)Δs for an incremental path length, Δs, and each piece is proportional to local n e B ∥ (l,T). It is more correct to view the measurement of, Δα(l,T) or n e B ∥ (l,T), as the difference of two non-local double-pass path integrals over the magnetized plasma from s=0 to l and s=0 to l+Δs, separated by 2Δs/c seconds. 
     Scattering 
     Light propagating in a medium induces scattered light. The scatter is radiation from electrons (ions contribute negligibly) accelerated by the electric field of the light. If the electron positions are correlated, the scattering intensity can be strong (coherent scattering, diffraction). Uncorrelated (random) electron positions produce weak but non-zero scattering intensity (incoherent scattering) due to the discrete particle nature of the electrons. The intensity of incoherent scattering is proportional to n e . 
     For plasmas, Thomson scattering is a familiar scattering process and is the scattering mechanism of the embodiment of  FIG. 2B . Thomson scattering is radiation from unbound electrons accelerated by the electric field of the probe beam. For relatively low temperature plasmas (T e &lt;10 million° C. or 1 keV) where relativistic effects can be neglected, the accelerated electrons produce a dipole radiation pattern. The electric field amplitude of dipole radiation, E s , for an arbitrary direction, {circumflex over (R)}, and E bs  for the backward direction, {circumflex over (R)}=−ŝ, is given by: 
     
       
         
           
             
               
                 
                   
                     
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                       s 
                     
                     = 
                     
                       
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                   Eq 
                   . 
                   
                       
                   
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                   5 
                 
               
             
           
         
       
     
     where ŝ is the propagation direction of the probe beam. The backscatter electric field amplitude, E bs , is seen to be aligned (anti-parallel) with the inducing electric field, E i , falls off with distance, (R+l), to the sensing instrument and is attenuated by a factor r e , the classical electron radius (2.82×10 15  m), identical to the electric field amplitude retro-reflected from a weak plane mirror at location, (R+l). 
     The total scattered electric field amplitude is the sum of all individual dipole fields in the scattering volume. The polarization of the sum maintains its alignment to E i , since each individual dipole is aligned. Thomson scattering can be coherent or incoherent. For the embodiment shown in  FIG. 2B , the Thomson scattering regime is incoherent with scattered intensity directly proportional to the density of scatterers, n e . For coherent scattering, a correspondence between the scattered intensity and electron density would need to be established. 
     For high temperature plasmas (T e &gt;1 keV), relativistic effects depolarize the scattered radiation to some degree. However, in the backward direction the depolarizing effect is zero and near zero for a wide angular range around the backward direction. Thus attribute of I) holds for all magnetized plasmas at any temperature. 
     Optical scattering in any medium arises in the same way as described for plasmas, as radiation from electrons accelerated by the incident electric field of the probe beam and the backscatter quite generally inherits the polarization of the inducing light in the scattering volume. 
     Operation and Other Pulsed Polarimeter Embodiments 
     Referring again to  FIG. 2B , a pulsed polarimeter is composed of four main elements. 1) The light source  48  which emits a spatially narrow polarized light pulse  42   a  of determined wavelength. The polarized light pulse  42   c  in the remote magnetized plasma  54  produces light pulsed induced emission  55  or optical emission in the backward direction (backscatter). 2) The light gathering optical system  50  which collects a determined solid angle  52  of light pulse induced emission  55  and produces a collimated emission beam  37 . The light gathering optical system, importantly, preserves the polarization state of the collected light pulse induced emission. The light gathering optical system  50  includes the light gathering optic  49  with the optic axis  44  and the collimating optic  51 . 3) The directional coupler  46  which makes coincident the light pulse propagation path  38  and the optic axis  44  to ensure that backscatter is collected and that the polarized light pulse  42   c  is imaged along its entire trajectory in the plasma. And 4) the polarization detection system  30  which measures the intensity and determines the polarization state of the collimated emission beam  37  and thereby, the polarization state of the light pulse induced emission  55 . The polarization detection system  30  includes the polarizing beam splitter  36  which analyzes and spatially separates the collimated emission beam  37  into two mutually orthogonal collimated polarized beams  31   a,b , the focusing lenses  34   a,b  which focus the collimated polarized beams  31   a,b  onto the optical detectors  32   a,b  producing electrical signals proportional to the intensity of the collimated polarized beams  31   a,b . The magnetic field and density profiles are determined from the continuous measurements of intensity and polarization state. The location of the measurements are given by time-of-flight, l=cΔt/2, and spatial resolution is determined by the length of the polarized light pulse and the response time of the optical detectors  32   a,b.    
     1) The Light Source 
     In other embodiments of the present invention, the light source  48 , shown in  FIG. 2B , can be a laser that emits a linearly polarized, intense, spatially narrow polarized light pulse  42   a . The pulse duration, pulse length, pulse energy, beam radius, beam area and wavelength are denoted by τ pulse , L pulse (cτ pulse ), E pulse , r beam , A beam (πr beam   2 ) and λ o . The wavelength, λ o , can be chosen to set the strength of the Faraday effect. If the Faraday effect is too strong the characteristic modes may separate spatially. The choice of λ o , is determined with the application in mind but a wavelength that produces an α(L p ) of 0.5(30°) is considered generally appropriate. The laser frequency can be chosen to be above the cutoff frequency which is density dependent and varies along the trajectory as v cutoff =9√n e (s). The scattering can be placed in the incoherent regime by reducing the wavelength below a level that is both temperature and density dependent: λ o &lt;870√(T e /n e (s)). The coherence properties of the light source  48  do not play a role in this embodiment of the pulsed polarimeter. The spectral width, Δλ, of a pulsed light source is given by λ o   2 /L pulse . A shorter pulse length produces a greater spectral width. 
     There are various possibilities with regards to the light source  48  and the types of light emitted from the light source  48 . For example, in other embodiments, light emitted from the light source  48  can be right or left circularly polarized or in general, elliptically polarized and the light source  48  can be coherent in order to be used in combination with a phase-sensitive polarization detection system  30 . The pulsed nature of pulsed polarimetry further allows more general schemes for the light source  48  over that of CW plasma polarimetry: the polarized light pulse  41   a  emitted from the light source  48  can be frequency modulated or chirped in frequency, for instance, to profile the wavelength of the light pulse. The light source  48  can also be an incoherent light source producing an intense, spatially narrow pulse of incoherent polarized light. In addition, several independent light sources can be combined. For instance, the polarized light pulses from two light sources of different wavelengths can be combined, or two polarized light pulses in different polarized states, say left circularly polarized and right circularly polarized, can be combined into one polarized light pulse. 
     2) The Light Gathering Optical System 
     The light gathering optical system  50  collects and collimates the light pulse induced emission  55  or backscatter from the polarized light pulse  42   c  propagating in the remote magnetized plasma  54 . The solid angle  52 , ΔΩ, with cone angle, θ ΔΩ , of the light pulse induced emission  55  is collected using a light gathering optic  49 . The light gathering optic  49  could also collimate the collected emission but would in general, produce a collimated emission beam  37  with a beam diameter that would be too large. A second optical element, the collimating optic  51 , is used to receive focused light from the light gathering optic  49  and produce a collimated emission beam  37 . Importantly, the light gathering optical system  50  has a cross polar coupling that is nearly net zero. In other words, polarization is preserved by light gathering optical system  50  so that the polarization state of the collimated emission beam  37  is the same polarization state as the light pulse induced emission  55  in an average sense. The light gathering optical system  50  can introduce parasitic polarized light orthogonal to the polarization of the light pulse induced emission  55  as long as the parasitic polarized light component averages to zero over the aperture of the collimated emission beam  37 . In the embodiment shown in  FIG. 2B , cylindrical symmetry about the optic axis  44  is maintained by the reflective surfaces of the light gathering optic  49  and the collimating optic  51  to yield a net zero cross polar coupling. In general, curved reflecting surfaces that are mirror symmetric about a plane containing the optic axis  44 , yield net zero cross polar coupling. The angular departure, γ coll , from a perfectly collimated emission beam  37  is given by the ratio of the radius, r beam , of the imaged portion of the polarized light pulse  42   c  to the image distance R+l, r image /(R+l), and is on the order of 1 arc minute for R=3 m and r image =1 mm. In practice, the light source  48  would be collimated or focused so that r beam &lt;r image . The etendue of the light gathering optic system  50  is πr image   2 ΔΩ or πr beam   2 ΔΩ for r beam &lt;r image . In other embodiments of the present invention, there are various possibilities with regards to the kinds of devices that can be used to implement the light gathering optical system  50  as shown in  FIGS. 4   a,b,c,d . In  FIG. 4   a , similar to  FIG. 2B , are shown a light source  69  with a propagation path  71 , a light gathering optic  64 , a collimating optic  67 , an optic axis  68 , a solid angle  66  and a collimated emission beam  65 . Lenses (refracting optics) can be substituted for both of the light gathering optic  76  and the collimating optic  78  as shown in  FIG. 4   c  or a mixture of lenses and reflectors can be used as in  FIG. 4   d  where a collimating optic  84  is a lens and a light gathering optic  82  is a reflector, in this case without a hole. Off-axis reflectors (off-axis ellipsoids) can also be used to focus the emission off axis. Two optical components allow a wide choice of optics that can be matched to be polarization preserving. 
     3) The Directional Coupler 
     The directional coupler  46  in the embodiment shown in  FIG. 2B  can be a plane mirror attached to the back surface of the collimating optic  51 . The directional coupler  46  makes coincident the pulse propagation path  38  with the optic axis  44  of the light gathering optic  49  and directs the polarized light pulse  42   b  toward the remote magnetized plasma. The propagation path  38  is made coincident with the optic axis  44  on the surface of the directional coupler  46  which is steered to bring about a coincidence in direction. In other embodiments of the present invention, there are various possibilities with regards to the kinds of devices that can be used to implement the directional coupler  46  as shown in  FIGS. 4   a,b,c,d . As shown in  FIG. 4   a , a directional coupler  70  spans the entire solid angle  66  and could be a non-polarizing beam splitter or a frequency selective reflector. A non-polarizing beam splitter directional coupler  70  is less efficient as it is not 100% reflecting for the light source  69  or 100% transmitting for the collected emission.  FIG. 4   b  illustrates a directional coupler scheme with the light source directly behind the light gathering optic with the light pulse propagation beam and optic axis aligned. The directional coupler  72  is again a non-polarizing beam splitter, a frequency selective reflector or a plane mirror with a hole along the optic axis to allow the light pulse to pass through. The collimating optic  74  must also have a hole to allow the light pulse to pass through. In  FIG. 4   c  a directional coupler  80  is a small plane mirror reflector between the pulsed polarimeter and the medium. The embodiment shown in  FIG. 4   d  similarly uses a plane mirror directional coupler  86  to direct the light pulse along the optic axis and to steer the emission toward the collimating optic  84 , a lens.  FIGS. 4   a - 4   b  show only four embodiments and are by no means intended to be exhaustive of the kinds of devices that can be used to implement the directional coupler  46 . Other kinds of devices and arrangements of these devices can be used to implement the directional coupler  46  which are also consistent with embodiments of the present invention. 
     4) The Polarization Detection System 
     The polarization detection system  30  in the embodiment shown in  FIG. 2B  uses the polarizing beam splitter  36  configured to spatially separate the collimated emission beam  37  output from the light gathering optical system  50  into two mutually orthogonal linearly polarized collimated polarized beams  31   a,b . The ability of the polarizing beam splitter  36  to adequately separate the two polarization states of the single collimated emission beam  37  is dependent on the quality of the polarizer and on the angle γ coll , which quantifies the departure of the collimated emission beam  37  from perfect collimation. The two collimated polarized beams  31   a,b  are focused with focusing lenses  34   a,b  onto optical detectors  32   a,b . The solid angle, ΔΩ pol , of the focusing lenses  34   a,b  can be determined by matching the etendue of the light gathering optic  49 , A beam ΔΩ, to that of the etendue of the focusing lens, A det ΔΩ pol , where A det  is the area of the optical detector. Setting A beam ΔΩ 60  equal to A det ΔΩ pol  optimally couples the collected backscatter  55  to the optical detectors  32   a,b . The optical detectors  32   a,b  use direct detection to produce an electrical output (voltage or current), proportional to the intensity of the collimated polarized beams  31   a,b . The optical detectors  32   a,b  can be calibrated to measure absolute intensity. The calibration includes the optical detector&#39;s responsively (R) and quantum efficiency (“QE”) (η), both of which are usually wavelength dependent. The bandwidth of the optical detectors, BW det , is typically several GHz requiring small A det , on the order of 0.01 mm 2  for photodiode detectors. 
     If the axis of the polarizing beam splitter  36  is aligned with the polarization of the light source  48 , the weak detector channel will be proportional to sin 2 (α(l))˜α(l) 2 , for small α(l), where l=cΔt/2 for Δt=0 to 2L p /c. T is constant for the profile determination and suppressed. The sensitivity of the polarization detection system  30  can be markedly improved by aligning the axis of the polarizing beam splitter  36  to be 45° to the polarization of the light source  48  and differencing the signals of the two optical detectors  32   a,b . For balanced optical detectors  32   a,b , (V s −V p ), is proportional to I o (l)(cos 2 (π/4+α(l))−sin 2 (π/4+α(l)))˜2α(l)I o (l), for small α(l). The sum of the voltages, (V s +V p ), is proportional to I o (l), the total intensity of the collimated emission beam  37 . Demonstrating a much higher sensitivity to α(l) for small α(l). The two measurements allow a determination of α(l) and I o (l). The polarization detection system  30 , described above, can be used with a coherent light source as well as an incoherent light source. 
     In other embodiments of the present invention, the polarization detection system  30  can be phase-sensitive using optical mixers in place of optical detectors  32   a,b  together with a coherent light source  48 . In such a system, the phase of the polarized light pulse at each location can be determined, the equivalent of an interferometer implementation of a pulsed polarimeter. The optical mixers in such a scheme need an optical local oscillator (“LO”). This can be provided by another coherent laser light source or splitting off some of the coherent polarized light pulse into a reference delay line, a fiber optic for instance, and using the continuous backscatter from the delay line as an LO input to the optical mixer. The mixing can be achieved with a mixing beamsplitter (non-polarizing or polarizing) inserted after the polarizing beam splitter  36  to combine the LO (polarized or non-polarized) with the collimated polarized beam  31   a,b  as an input to an optical detector. These techniques are known as heterodyne and homodyne detection techniques and have an intrinsic advantage in measurement Signal to Noise Ratio (“SNR”) to that of the direct detection SNR. Since the detected intensity is a product of the LO electric field amplitude with the electric field amplitude of the collimated emission beam  37  the signal levels can be boosted significantly by using a strong LO source. 
     Scattering Details 
     The polarized light pulse  42   c  propagating in the remote magnetized plasma  54  induces backscatter  55  from a scattering volume, dV(l), at location l. The length of the scattering volume in the direction of propagation, dL, is given by a familiar LIDAR result: 
         dL =( cτ   det   +L   pulse )/2  Eq. 6 
     where τ det  is the integration time of the optical detector. The localization of the backscatter along the trajectory can be as small as L pulse /2 or as large as L p  depending on τ det . dV=πr beam   2 dL. 
     The intensity, I o (l), of the collimated emission beam  37  of the collected backscatter  55  from the polarized light pulse  42   c  at location l is directly related to n e (l), ΔΩ(l), and E pulse , given by: 
     
       
         
           
             
               
                 
                   
                     
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     The solid angle  52  collected by the light gathering optic  49 , ΔΩ(l), is a known function of 1. 
     An illustration of I o  Vs Δt sampled points is shown in  FIG. 5 . The density profile, n e  Vs l, at sampled points is obtained from Eq. 7 using l=cΔt/2 and is shown in  FIG. 6  along with the modeled density waveform. The intensity profile in  FIG. 5  is seen to fall off with, l, or Δt since ΔΩ(l) decreases with distance. The density profile is obtained by correcting for this geometrical effect and using the known parameters: E pulse , τ det  and L pulse . 
     Combining Scattering with the Faraday Effect 
     The polarization of the polarized light pulse  42   c  at location l in the remote magnetized plasma  54  has been rotated by α(l,T) in the plane of polarization. The light pulse induced Thomson scattering light pulsed induced emission  55  inherits the polarization of the polarized light pulse according to attribute of I). The backscatter retraces the trajectory acquiring a total rotation angle of 2α(l,T) according to attribute of II) for a quasi-static magnetic field and electron density. This is not strictly true as the light pulsed induced emission  55  collected by the light gathering optical system  50  deviates from the backward direction by θ ΔΩ . The magnitude of ΔΩ is a compromise between a higher signal level (increasing ΔΩ) and restricting the collected light pulsed induced emission  55  to smaller θ ΔΩ , reducing ΔΩ, but more closely adhering to the principles of pulsed polarimetry. The range of solid angle is determined by the particular application. 
     Detection and Measurement Process 
     The optical detectors  32   a,b  measure intensity using direct detection for the embodiment shown in  FIG. 2B , essentially narrowband bolometry. Heterodyne detection can also be used. 
     The optical detector&#39;s response time, τ det , sets the bandwidth, BW det (=225 GHz-ps/τ det ) (BW det =2.25 GHz for τ det =100 ps) of the output signal. The sampling rate must be more than 2BW det  to avoid aliasing. The α Vs Δt and I o  Vs Δt traces shown in  FIG. 5  illustrate data sampled at a rate of ˜7 GS/s with BW det &lt;3.5 GHz or τ det &gt;75 ps. The spatial resolution, dL is not specified as it depends on L pulse . 
     The magnetic field, B ∥ , is obtained from the sampled α j  and n ej  by: 
     
       
         
           
             
               
                 
                   
                     B 
                     
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                   . 
                   
                       
                   
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                   8 
                 
               
             
           
         
       
     
     a numerical translation of Eq. 4 where j is the sampling index and δL is the distance increment for the time sampled data. The analyzed B ∥ Vs l trace is shown in  FIG. 6  along with the modeled magnetic field. δL˜2 cm, given by the sampling time step δt˜0.14 ns, (δL=cδt/2). 
     Localization and Spatial Resolution of the Magnetic Field 
     The location, l, of the measurement in the medium is given by time-of-flight from the measurement time Δt, l=cΔt/2 or l=cΔt/2−R including the distance, R, from the light gathering optic  49  to the remote magnetized plasma  54 . 
     The B ∥ , and n e  measurements are spatial averages over the scattering volume, dV. In the trajectory direction, the measurements are spatial averages over dL. 
     The Magnetic Field Accuracy 
     The accuracy of the B ∥ , and n e  measurements depends on the measurement SNR which itself depends on many factors: E pulse , τ det , ΔΩ, the background light level, the detector noise level, etc, to be discussed shortly. The range of the pulsed polarimetry technique is affected by the nature of the Faraday effect itself. The rotation angle, α(l,T), given by Eq. 3, is dispersive having a quadratic dependence on λ o . Since a light pulse of length, L pulse , necessarily has a wavelength spread, Δλ, of λ o   2 /L pulse , a desired decrease in L pulse  only increases Δλ introducing a wider spread, δα, in α. The measurement error from this effect may be unacceptably high especially at a more desirable higher spatial resolution or lower L pulse . Δλ is considerably reduced by lowering λ o  but the strength of the Faraday effect is also lowered. The higher the intrinsic n e B ∥  product of the plasma, the lower λ o  can be set. For some magnetized plasmas the n e B ∥  product may be too low for an accurate local field measurement. 
     i) Parameter Range of the Pulsed Polarimetry Technique 
     Given a stationary remote magnetized plasma  54  with uniform electron density, n eo , uniform parallel magnetic field, B o , and size L p , a rotation angle wavenumber, k α  and rotation angle wavelength λ α  can be defined by: 
     
       
         
           
             
               
                 
                   
                     k 
                     α 
                   
                   = 
                   
                     
                       
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                   9 
                 
               
             
           
         
       
     
     The wavelength, λ o , is chosen so that α(L p )˜0.5(30°) or L p &lt;λ α . The Faraday effect is dispersive: k α . depends on λ o . 
     A light pulse of length, L pulse , necessarily has a wavelength spread, Δλ˜λ o   2 /L pulse , resulting in a rotation angle spread, δα(l)=(2Δλ/λ o )α(l)=(2λ o /L pulse )k α l, increasing linearly with 1 and attaining a maximum value of (2λ o /L pulse )α(L p ) at L p . N λ =L pulse /λ o  is the number of wavelengths in a pulse length, L pulse . Taking dL=L pulse =cτ det  gives Δλ=λ o   2 /dL. The magnetic field measurement is determined by an incremental rotation angle of α, Δα. For N m  evenly spaced measurements along the trajectory: Δα=α(L p )/N m  and dL=L p /N m . The relative rotation angle spread compared to Δα is δα(l)/Δα=(2l/L p )N m /N λ  attaining a maximum value of 2N m /N λ  at L p . Another condition on N m  and N λ  is that L p =N m N λ λ o . The largest relative rotation angle spread compared to Δα is then 2λ o N m   2 /L p  pessimistically rising quadratically with the number of measurements along the trajectory, N m . To illustrate the magnitude of the rotation angle spread, three plasma scenarios that are relevant to the Magnetic Fusion Energy (“MFE”) program are considered. The first two plasmas are in the High Energy Density Laboratory Plasma (“HEDLP”) field and have exceptionally high densities, the third plasma is the future ITER tokamak device. 
     The FRX-L Plasma, the Target Plasma of the Magnetized Target Fusion (“MTF”) Program. 
     
         
         Nominal parameters: L p =36 cm, n eo =10 23  m −3 , B o =5T, dL=L pulse   =cτ   det =1.8 cm, λ o =3.2 μm
       N m =20, N λ =5,540, α(L p )=0.5, Δα=α(L p )/N m =0.025(1.5°)   N m N λ =110,000! The largest relative rotation angle spread is 0.72%   
     
       
    
     The FRX-L Compressed Plasma 
     
         
         Nominal parameters: L p =6 cm, n eo =3×10 25  m −3 , B o =500T, dL=L pulse =cτ det =3 mm, λ o =46 nm
       N m =20, N λ =65,000, α(L p )=0.5, Δα=α(L p )/N m =0.025(1.5°)   N m N λ =1,305,000! The largest relative rotation angle spread is 0.060%   
     
       
    
     The International Thermonuclear Experimental Reactor (“ITER”) Tokamak Device 
     
         
         Nominal parameters: L p =4 m, n eo =0.5×10 21  m −3 , B o =0.5T, dL=L pulse =cτ det =20 cm, λ o =31 μm.
       N m =20, N λ =4,600, α(L p )=0.5, Δα=α(L p )/N m =0.025(1.5°)   N m N λ =92,000. The largest relative rotation angle spread is 0.86% The relative rotation angle spreads in a due to dispersion are remarkably low for the three pulsed polarimeter measurement scenarios due to the large n eo B o  product. However, pulsed polarimetry would seem to have increasing difficulty with magnetized plasmas of low n eo B o  product. This is not necessarily the case as explained below.   
     
       
    
     A spread in rotation angle does not necessarily translate into a large measurement error in determining Δα. For the collimated emission beam  37  with a rotation angle spread, δα, the polarization detection system  30  determines the polarization state to be that given by the median electric field amplitude of the distribution of polarization components with intensity given by the total intensity of the distribution. For α(L p )&lt;0.5(30°), symmetric distributions about the median rotation angle, α(l) have little affect on the measurement of α(l) and δα can be of the order α(L p ) or Δλ˜λ o  before sizeable errors are produced. For α(L p )&gt;0.5, a rotation angle spread effects the measurement of α(l) through the nonlinear sine and cosine functions and δα must be reduced by increasing L pulse  which lowers the spatial resolution but increases the accuracy. The number of measurements N m  for α(L p )=0.5(30°) is dictated by the resolving power of the polarization detection system. If the noise sources allow, a polarimeter instrument should be able to determine α to a resolution of ˜0.005° implying a dynamic range of 6000:1. There is a trade off between the number of measurements, N m , and the accuracy of the magnetic field measurement. One could provide N m =600 with 10% accuracy or N m =100 with 1.6% accuracy. The pulsed polarimeter technique has the potential for exceptional spatial resolution and magnetic field accuracy for these three important magnetized plasmas. 
     ii) Noise Sources in General 
     All of the other sources of measurement error are under the experimenter&#39;s control and can be minimized up to the limits of technology and costs. For instance, the measurement SNR is directly proportional to the pulse energy, E pulse . Pulse energy,  E pulse   , and pulse power, E pulse /τ pulse , can be very high before the pulsed polarimeter becomes perturbative but such light sources are costly. The main sources of noise are 1) the backscatter photon noise, 2) background plasma emission photon noise, 3) blackbody emission photon noise from surfaces in the field of view and 4) detector noise. The main methods used to minimize these sources of noise are: 
     1. Optically Filtering of Backscatter and Background Light 
     An optical band-pass frequency filter can be used to selectively accept the desired backscatter emission and reject the out-of-band background light, especially from light sources 2) and 3). A band-pass filter of width Δv filter /v o ˜2.5×10 −5 √T e  (4% for a 300 eV plasma) centered about v o  is wide enough to accept most of the temperature broadened backscatter. A spread in rotation angle will result from the temperature wavelength broadening but will not affect the rotation angle measurement if the band-pass filter is symmetric about v o . 
     Filtering the backscattered emission at a center frequency offset to v o  will introduce a frequency dependent rotation angle offset due just to the rotation angle dispersion over the backscattered path. This can be exploited as a diagnostic when offset filtering is used as in a pulsed polarimeter system that spectrally resolves the backscatter emission to measure T e . 
     2. Intrinsic Backscatter Photon Noise 
     The measurement SNR from intrinsic backscatter photon noise is √(ηN sc ) where N sc  is the number of backscattered photons collected by the light gathering optic  49  of  FIG. 2B . The photon noise (shot noise) is due to the discrete nature of light. The noise is minimized or measurement SNR maximized by selecting an optical detector with η close to 1, increasing E pulse  or raising ΔΩ. Plasmas with high n e  have the lowest backscatter photon noise making the HEDLP plasmas especially attractive. 
     3. Plasma Background Emission Photon Noise 
     Plasma emission for magnetized plasmas in the optical region is predominately broadband bremsstrahlung emission. Line radiation is narrow band and can be selectively filtered away. The contribution of bremsstrahlung emission with intensity, I b , contributes ηI b /√(ηN br ) photon noise to the intrinsic backscatter photon noise and the measurement SNR is then given by √η N sc /√(N sc +N br ), where N br  is the number of bremsstrahlung photons collected by the light gathering optic  49  of  FIG. 2B . The level of bremsstrahlung emission is proportional to the imaged volume (πr image   2 L p ), ΔΩ, n e , 1/√T e  and τ det . The bremsstrahlung photon noise is generally negligible for MFE plasmas due to the exceedingly low τ det (˜100 ps) of a pulsed polarimeter. 
     4. Blackbody Emission Photon Noise 
     Blackbody emission from surfaces (windows, vacuum vessel, etc) at a temperature, T surface , in the field of view of the light gathering optic  49  can be a significant source of noise if λ o , is near the Wien wavelength, 2.9 mm/T surface , as is the case for the CO 2  laser system at 10.6 μm (λ Wien =10 μm for T surface =300K, room temperature). The measurement SNR is then √η N sc /√(N sc +N br +N bb ), where N bb  is the number of blackbody photons collected by the light gathering optic  49  of  FIG. 2B  together with any imaged surface in the pulsed polarimeter instrument. Blackbody emission can be significantly reduced by i) using polished metal surfaces to lower the surface emissivity, ii) cooling the surfaces in the field of view and iii) selecting a λ o  far from the λ Wien . 
     5. Detector Noise 
     Optical detectors have a minimum detectable signal level rating given by the optical detector&#39;s noise equivalent power (“NEP”). The NEP is bandwidth dependent. An NEP of 10 −11  W/Hz 1/2  or 1 μW for a 10 GHz BW det  is typical. Cooling the optical detector reduces the NEP but also reduces the optical detector&#39;s bandwidth. 
     The measurement SNR is raised most easily by increasing E pulse  or raising ΔΩ. The first is limited by technology or expense and the second by collecting scattered light that deviates more from the backward direction compromising the principles of the invention. The experimenter determines λ o , E pulse , L pulse , τ det , ΔΩ, Δv filter  and detector NEP to measure a magnetic field with a prescribed accuracy, δB ∥ /B ∥ , with spatial resolution given by dL. 
     The realized accuracy depends on both the measurement SNR and the minimum rotation angle that the polarization detection system  30  can resolve. Angular resolutions of 0.005° are possible. Given a measurement SNR of 1/∈ and an incremental rotation angle Δα, the relative accuracy of the magnetic field measurement δB ∥ /B ∥  and density measurement δn e /n e  are given by: 
       δ n   e   /n   e =∈ and δ B   ∥   /B   ∥ =∈/2Δα  Eq. 10 
     From Eq. 10 one sees that the accuracy of the magnetic field can be improved by increasing the incremental rotation angle, Δα, with a corresponding increase in dL which decreases the spatial resolution of the measurement. The trading off of magnetic field accuracy for spatial resolution is intrinsic to the pulsed polarimetry technique. 
     EXAMPLE 
     FRX-L Plasma, the Target Plasma of the Magnetized Target Fusion (MTF) Program 
     The FRX-L experiment at Los Alamos produces a field reversed configuration (“FRC”) magnetized plasma with peak electron density, n eo , of 10 23  m −3 , and peak magnetic field, B o , of 5T. The FRC is highly transient, existing for only 10 μs&#39;s. The FRC is to be used as the target magnetized plasma in an imploding liner MTF experiment attaining a peak magnetic field of 500T and peak n eo  of 3×10 25 m −3 ! There are no internal magnetic field diagnostics available for this program and CW plasma polarimetry is highly susceptible to mechanical and refraction phase noise. Conventional Thomson scattering measurements of T e  have not been successful due to high bremsstrahlung levels but T e  is thought to be ˜300 eV(3 million° C.). Theoretical understanding of the FRC plasma is primitive in comparison to the tokamak plasma. External magnetic diagnostics and CW interferometry are the principal diagnostic systems. The pulsed polarimeter design below is realistic and realizable within the present technology. 
     FRX-L Pulsed Polarimeter Parameter List 
     NdYag laser: λ o =1.064 μm,
 
Pulse energy E pulse 1 J,
 
Pulse length L pulse =6 mm
 
Spectral width Δλ&lt;1 nm
 
beam radius r beam =1 mm
 
Δv filter  1.4×10 13  Hz
 
dL 3 cm
 
Δα 0.009(0.52°) at peak n e =10 23  m −3 , B=5T
 
ΔΩ 0.035 sr (θ ΔΩ =6°)
 
InGaAs detector: τ det =100 ps,
         BW det =2.25 GHz,   max intensity=5 mW,   NEP=1 μW@2.25 GHz       

     Backscatter 4 W 
     Backscatter energy 0.83 nJ 
     Noise Level: 
     Backscatter photon noise 0.002%,
 
Bremsstrahlung photon noise 4×10 −16  J, negligible
 
Blackbody photon noise negligible
 
Detector noise 1 μW, negligible
 
Plasma details: v o  above cutoff frequency
         scattering is incoherent Thomson scattering       

     In this case, the accuracy of the magnetic field measurement is limited by the optical detector&#39;s dynamic range: 5000:1. The backscatter intensity is too strong for the optical detector and must be attenuated from 4 W down to the 5 mW level. 
     With a 1 μW Detector NEP: 
       
     
       
         
           
               
               
               
             
               
                   
                   
               
             
            
               
                   
                 SNR 
                 5000 (ε = 0.0002) 
               
               
                   
                 n e  accuracy 
                 δI o /I o  = δn e /n e  = 0.02% 
               
               
                   
                 B ∥  accuracy 
                 δB ∥ /B ∥  = ε/2Δα or 1% 
               
               
                   
                 Spatial localization 
                 3 cm 
               
               
                   
                   
               
            
           
         
       
     
     With a limiting optical detector dynamic range of 5000:1 a small rotation angle of 0.52° (1 part in 50) can be resolved to 1% (1 part in 100). The magnetic field accuracy δB ∥ /B ∥  is then 1% with a spatial resolution of 3 cm or 12 measurement points over the 36 cm long plasma. A polarimeter resolution of 0.005° is assumed. 
     There is roughly 1000× more backscatter than the optical detector can handle. The pulsed polarimeter can take advantage of the excess backscatter by 1) adding a spectrometer and more optical detectors to measure the spectral distribution of the collimated emission beam  37  and thereby determine T e , 2) reducing ΔΩ to better approximate pure backscatter, or 3) reducing dL to increase the spatial resolution if the resolution of the polarimeter detection system will allow. 
     The Non-Local Nature of Pulsed Polarimetry 
     Pulsed polarimetry uses a LIDAR technique to measure local n e (s). The n e  measurement is truly local; the intervening remote magnetized plasma  54  between the polarized light pulse  42   c  and the polarization detection system  30  does not influence the measurement of n e , no assumption that n e  be quasi-static is necessary, uncertainty in the n e  measurement does not accumulate with distance, and the n e  measurement is direct. The rotation angle measurement, 2α(l,T), is, however, non-local, being the sum of two path integrals α(l,T) and α r (l,T) with identical locations contributing to the integrals at different times. For a quasi-static n e  and quasi-static magnetic field, α(l,T)=α r (l,T) always and the local n e B ∥ (l) product can be obtained, not directly, but by differencing of two sequential non-local measurements of 2α(l,T). Obviously, for pulsed polarimetry, the intervening remote magnetized plasma  54  between the polarized light pulse  42   c  and the polarization detection system  30  determines the measurement. 
     There are implications for the pulsed polarimeter: 1) if the magnetic field or density is changing on a time scale shorter than 2l/c, then the two path integrals can be different and the measurement is not n e B ∥ (l) and 2) an uncertainty or spread in rotation angle grows with distance. In general the quasi-static criterion is fulfilled for magnetized plasmas of interest to the MFE field and the pulsed polarimetry measures local n e B ∥ . As for 2), λ o  is chosen so that the maximum rotation angle, α(L p ), is small for the particular application. It is a violation of quasi-static condition that allows pulsed polarimetry to be exploited for the remote sensing of electric fields in electro-optically active media. The optical activity in a medium with induced electro-optic activity is reciprocal and the pulsed polarimeter would produce a null measurement if the electric field were quasi-static. 
     Pulsed polarimetry provides a sequence of advancing chord averaged n e B ∥ (l) measurements that CW plasma polarimetry would provide if the retro-reflecting end mirror  22   b  of  FIG. 1  could be translated through the remote magnetized plasma  28 . Both methods are subject to the same quasi-static criterion. The magneto-optic Faraday effect has been shown to be an interference effect in both CW polarimetery and pulsed polarimetry. Every technique in CW polarimetry/interferometry has a counterpart in pulsed polarimetry if a coherent polarized light source is used. The pulsed polarimeter additionally measures local n e (l). 
     Review of Provisos for Pulsed Polarimetry 
     
         
         1) B ∥ (s)=B(s)·ŝ is determined. As with CW plasma polarimetry, the orientation of the optic axis  44  of  FIG. 2B  with respect to the remote magnetic plasma  54  must be judiciously chosen, as is the case with CW plasma polarimetry. 
         2) Both B and n e  must be quasi-static on a 2L p /c time scale to determine local B ∥ (s.), as is the case with CW plasma polarimetry. 
         3) The light source wavelength, λ o , should be set so that α(L p )&lt;˜0.5(30°). An α(L p )&gt;0.5 may cause the characteristic modes to spatially separate and a measurement error due to a spread in α(l) may result. The range of α(L p ) has to be assessed for the particular application. 
         4) Refractive effects will not affect the magnetic field or density measurements of a pulsed polarimeter but account must be taken of the location of the polarized light pulse  42   c  in the remote magnetized plasma  54  to interpret the measurements. 
         5) Another magneto-optic activity in a magnetized plasma is the Cotton Mouton (“CM”) effect. The CM effect is a reciprocal effect, with a quadratic dependence on the perpendicular component of B, B ⊥ , to k. The CM effect is a linear birefringence that produces a progressive retardance or ellipticity, δ(l) and is, like the Faraday effect, additive for the backscatter with 2δ(l) upon exit. The effect is relatively weak being proportional to λ o   3 B ⊥   2  and is usually unimportant. For tokamak plasmas, which have a strong toroidal magnetic field, the CM effect is considered and a polarimeter detector that measures both α and δ implemented. The Pulsed Polarimeter can then provide sightline distributions of the four parameters: n e , B ∥ , B ∥ , and T e . 
         6) The collection angle, ΔΩ, should be kept as small as possible to better approximate backscatter. The range of ΔΩ has to be assessed for the particular application. 
       
    
     Second Embodiment 
     A second embodiment of the pulsed polarimeter is shown in  FIG. 3 . A remote magnetic field distribution in free space is to be measured remotely. To achieve this, the remote magnetized plasma  54 , shown in  FIG. 2B , is replaced with a remote magneto-optic medium  62  placed at the position where the magnetic field distribution  60  is to be determined. In the case of the remote magnetized plasma  54  of  FIG. 2B , the magnetic field distribution  56  is produced by currents distributions both external and internal to the remote magnetized plasma  54 . For the second embodiment of a pulsed polarimeter as shown in  FIG. 3 , the current distribution must lie totally outside of the remote magneto-optic medium  62 . For a remote magneto-optic medium  62  that is non-conducting (an insulator), the free space magnetic field distribution  60  penetrates the remote magneto-optic medium  62  as if it were not there. The remote magneto-optic medium  62  can be a material with a determined Faraday effect specified by its material Verdet constant, V. Faraday rotator glass would be a good choice for a light source with a wavelength in the visible. V determines the rate of change of rotation angle, α(l), with distance for a given parallel magnetic field, B ∥ , as given by: 
     
       
         
           
             
               
                 
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     The integration variable, s, corresponds to a time, t(s)=Ns/c, where N is the index of refraction of the remote magneto-optic medium  62 . The total transit delay time is now 2NL p /c. Since the Faraday effect only depends on the magnetic field, a measurement of the intensity is unnecessary. The magnetic field profile is given by Eq. 11b). The magnetic field is assumed to be quasi-static on a 2NL p /c time scale. 
     The effect is only weakly, if at all, dependent on λ 0  through V. Since the effect is only weakly dispersive, a large rotation angle spread does not result from a pulse length wavelength spread and the range of L pulse  is unrestricted. The spatial resolution can be as high as the light source will allow. A useful application for the second embodiment is to provide a calibration target for a pulsed polarimeter. An inhomogeneous magnetic field distribution  60  can be intentionally produced in the remote magneto-optic medium  62  to diagnose the sensitivity and time resolution of a pulsed polarimeter intended for use on remote magnetized plasmas. 
     Third Embodiment 
     A third embodiment of the pulsed polarimeter is shown in  FIG. 3  where the remote magneto-optic medium  62  and the magnetic field distribution  60  is replaced by a remote electro-optic medium and an electric field distribution. An electric field, E, in a medium demonstrating induced electro-optic activity can produce an optical activity similar to the magneto-optic Faraday effect in a magneto-optic medium. A linear birefringence is induced by E producing a progressive retardance of the polarization of a polarized light as the pulse propagates in the medium. Examples of electro-optic activity are the Kerr and Pockels effects. The electro-optic effect can depend on the electric field amplitude (linear effect), electric field intensity (quadratic effect), with the electric field either longitudinal or transverse to the trajectory. Many different electro-optic activities are possible. 
     
       
         
           
             
               
                 
                   
                     
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     Eq. 12 illustrates a linear longitudinal electro-optic birefringence with strength given by the optical constant, V E , where n is the index of refraction of the medium. The added path integrals produce a total ellipticity of 2δ E (l). In this case, the ellipticity angle, δ(l), measured by the polarimeter is important rather than the rotation angle, α(l). The parallel electric field E ∥ (l) can be determined by differentiating the measured δ E (l), in a manner analogous to Eq. 8 for the determination of B ∥ (l) above, as follows: 
     
       
         
           
             
               
                 
                   
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     The Pulsed Polarimetery technique is simplified for electro-optically active media. The density of the medium is constant and so is not a parameter to be measured. Only the polarization angle δ E (l) is used to determine E ∥ , intensity does not play a role. 
     The effect is only weakly if at all dispersive and so the pulse length, L pulse , is not restricted in range and the spatial resolution can be as high as the light source will allow. The quasi-static condition, that E be constant during the total transit time 2l/c, also applies in this case. An application for the third embodiment would be measuring the parallel component of the inducing electric field remotely within the electro-optic medium with known optical constant V E . and index or refraction, n. 
     Embedded electric fields can change on a much faster time scale in an electro-optic medium than magnetic fields embedded in a magnetized plasma. The quasi-static condition can be easily violated then the Pulsed Polarimeter measures both the spatial distribution and temporal change in the field E(r,t). A spatio-temporal measurement results, which is useful when the electric field distribution can be reproduced repeatedly with an advancing delay with respect to the timing of the pulse. 
     Present Technology for Pulsed Polarimetry 
     Light Sources 
     Intense pulsed laser light sources exist from the Far Infrared (“FIR”) (400 μm) through vacuum ultra-violet (100 nm) with power levels in the terawatt range (10 J in 10 ps, say) and even the petawatt level has been reached. The modest CO 2  pulsed laser (10.6 μm) can produce a 100 ps(L pulse =3 cm) pulse at 1 J level, the NdYag laser (1.064 um), 10 ps(L pulse =3 mm) pulse at 1 J, TiSapphire laser, 1 ps(L pulse =3 mm) pulse at 800 nm and the optical lasers can be frequency doubled and quadrupled. The most suitable sources for the MFE field are light sources with a wavelength in the near infrared (“NIR”) to FIR range (2 μm-50 μm) a role filled by the Free Electron Laser (“FEL”). An FEL would require a large infrastructure and is costly but can produce intense ultra-short pulses throughout the FIR and NIR making possible pulsed polarimetry for the future MFE program at the most advantageous wavelength. The extremely dense, high field plasmas in the HEDLP field will require developing the lowest wavelength ultra-short polarized pulsed lasers down to 30 nm. Incoherent light sources are also possible in this range for the very dense plasmas in the HEDLP field. 
     Detectors 
     Photodiode detectors in the NIR and visible have bandwidths as high as 60 GHz (0.1 mm) and 5 GHz(1.5 cm) for infrared (“IR”) detectors. Real time data acquisition systems with 60 GHz bandwidths presently exist. The FIR range can use heterodyne techniques. Detector technology is advancing rapidly to keep pace with the bandwidth of the light sources used in the communications and fiber optics industries. These detectors can be used as mixers in the heterodyne mode which is an emerging technology. 
     Radiation Hazards and Serviceability 
     Diagnostics for ITER and other future burning plasma devices in the magnetic fusion energy field must be compatible with high neutron flux and use only components that are radiation compatible. The only plasma facing component in a pulsed polarimeter need be a metal or dielectric mirror for collecting light and aiming the pulse. The light pulse and collected light can be optically relayed to and from the plasma from a remote location where the detectors and sources are safe and serviceable. A LIDAR n e  and T e  diagnostic is planned for ITER. 
     Insight Needed for the Invention 
     How could such a key diagnostic technique be overlooked in such an active field? Insight was needed to realize that the two physical properties of optical scattering in the backward direction with the non-reciprocal nature of the Faraday effect could be effectively combined to make possible the remote sensing of the local magnetic field in a magneto-optic medium. Technology is another answer. The present invention is a new exploitation of the laser, specifically the lasers ability to produce an intense short polarized light pulse. Such lasers are available in the visible, NIR and IR regions of the optical spectrum where the Faraday effect is too weak to produce a measurable effect on most present-day magnetized plasmas. A third answer is the method. The method would seem to be a generalization of the LIDAR method that measures the local n e  of the plasma remotely, but as mentioned, the pulsed polarimetry method uses a succession of non-local path dependent measurements of the n e B ∥  product along the trajectory of the pulse and determining local n e B ∥  by differentiating the non-local measurements in time, a much more convoluted method. The plasma parameter regime is the fourth answer. The magnetic field strength, electron density and machine size have continually increased over time and are finally reaching levels where pulsed polarimetry is feasible with the present laser technology. 
     Advantages 
     A number of advantages of the pulsed polarimeter embodiments described above over the prior art are expanded upon and summarized below. 
     (a) Providing a spatially resolved magnetic field measurement. The importance of determining the magnetic field distribution, B ∥ (s), over the chord averaged &lt;n e B ∥ &gt;L p  product of the prior art cannot be overstated. A direct magnetic field profile measurement without perturbing the magnetized plasma would be unique, novel and a major technological advance. As an illustration,  FIG. 5  shows the intensity and rotation angle profiles measured by a pulsed polarimeter for the modeled magnetic field distribution shown in  FIG. 6 . The diamond point in  FIG. 5  is the only data point from the prior art CW polarimeter instrument at a time associated with the profile measurement. One might surmise from that one datum that the magnetic field is positive and weak. On the contrary, the magnetic field amplitude is large and alternating in sign and highly modulated. From the magnetic field distribution, details of the current distribution can now be determined using Maxwell&#39;s equations, far beyond the ability of any existing measurement system. The present invention is particularly useful for the transient, dynamic magnetized plasmas of the HEDLP field where n e B ∥  is very high, high instrument bandwidths are needed and conventional diagnostics have failed. There, pulsed polarimetry would provide unprecedented measurement capabilities.
 
(b) A spatially resolved electron density measurement. The electron density distribution, n e (s), is naturally and necessarily obtained by a pulsed polarimeter. The electron density distribution alone, is a highly sought after measurement. Spatial variations in density (density gradients) are of paramount importance in understanding energy confinement, transport, density limits and locating transport barriers deep within the plasma. The n e  measurement is truly local and not subject to phase effects as in conventional CW plasma interferometry.
 
(c) A spatially resolved electron temperature measurement. With the addition of a spectrometer and more optical detector channels, a pulsed polarimeter can be naturally configured to provide a measurement of the local electron temperature profile, T e (s). The spatial distributions of B ∥ , T e  and n e  can be simultaneously measured in one instrument. The measurement of T e , as with n e , is a local measurement. For plasmas in the HEDLP field, conventional Thomson scattering diagnostics fail due to the high background plasma emission leaving this research field without a basic T e  measurement method. Pulsed polarimetry is better able to measure T e  due to the high pulse energies, large backscatter levels and the high detector bandwidths that effectively exclude, by a thousand fold, the background plasma emission that would overwhelmingly pollute a conventional Thomson scattering system.
 
(d) Very high temporal bandwidths. The pulsed polarimeter profile measurement is extremely quick, nearly instantaneous, requiring twice the medium transit time, 2L p /c, for the polarized light pulse. It would be difficult to justify imposing such a high bandwidth on a measurement system if it were not intrinsic to the technique. The magnetic field and density distributions are reasonably assumed quasi-static. The dynamical evolution of the magnetic structure can be followed by making multiple pulsed polarimeter profile measurements.
 
(e) A method for feedback control. A pulsed polarimeter can make a significant impact on the feedback control of magnetized plasmas in the MFE field. Pulsed polarimetry provides a means for a rapid real-time, almost instantaneous, direct magnetic field measurement that not only detects the presence of a destructive MHD instability but, just as importantly, localizes the disturbance so that corrective measures can be effectively applied.
 
(f) The elimination of coherent effects in the prior art. The interferometer of the prior art CW polarimeter/interferometer system shown in  FIG. 1  requires a coherent light source. Interferometers are notoriously sensitive to displacements in optical components and beam misalignments during a measurement. A pulsed polarimeter uses polarized light pulse induced backscatter from the medium and is not affected by interference or phase effects.
 
     Beam misalignments during a measurement are also successfully addressed by a pulsed polarimeter. Refraction due to density gradients in the magnetized plasma can displace (curve) the trajectory of the probe beam in the magnetized plasma introducing an unknown change in path length with a consequent phase shift and displace the probe beam on the retro-reflecting end mirror  22   b  of  FIG. 1  which can affect the intensity amplitude at the optical detectors  12   a,b . Both the interferometer and polarimeter measurements of a prior art CW polarimeter/interferometer can be seriously compromised. The pulsed polarimeter measures electron density and rotation angle along the displaced trajectory unaffected by phase effects and the backscatter retraces the refracted trajectory eliminating misalignments to first order. 
     (g) An improved interpretation of measurements. Both the prior art CW polarimeter/interferometer and pulsed polarimeter instruments exploit the magneto-optic Faraday effect. The standard formula interpreting the rotation angle as a chord averaged electron density-magnetic field product assumes the frequency of the light source is much higher than any cutoff frequency along the trajectory. If this is not the case, a useful interpretation of the measurement depends on the density profile along the trajectory. For a pulsed polarimeter, the local density profile is determined without approximation. The pulsed polarimeter can interpret the rotation angle measurements using a more exacting formula that incorporates the density profile and subsequently take advantage of light sources with wavelengths much closer to a cutoff.
 
(h) The remote sensing of vacuum magnetic fields. The pulsed polarimeter can be used to remotely measure the magnetic field distribution in free space by placing a surrogate magneto-optically active medium at the position where the magnetic field is to be determined. As long as the medium is insulating and lies outside of the magnetic field generating currents, the magnetic field distribution is identical to that of the free space distribution.
 
(i) Unbounded sightline. The prior art CW polarimeter shown in  FIG. 1  requires encompassing the magnetized plasma between the directional coupler (non-polarizing beam splitter)  26  and the end mirror  22   b . A single pass CW polarimeter would substitute an optical detector for the end mirror  22   b . The pulsed polarimeter embodiments of the present invention do not require equipment along the optic axis beyond the medium. As shown in  FIG. 2B , with the unbounded optic axis  44 , one need only aim the optic axis into the remote magnetized plasma  54  to make a magnetic field profile determination along the resulting trajectory. This implies that every probe beam trajectory of interest in CW polarimetry is also available as a polarized light pulse trajectory for a pulsed polarimeter, conversely many more trajectories are available to a pulsed polarimeter. Access problems are considerably simplified. In  FIG. 2B , a steering mirror can be introduced between the light gathering optic  49  and the remote magnetized plasma  54  to point the polarized light pulse  42   b  to and collect backscatter from any direction in which the optic axis  44  intersects the remote magnetized plasma. As a further exploitation of this idea, a steering mirror can be introduced beyond the plasma to redirect the polarized light pulse through the plasma a second time to measure a magnetic field profile along a second sightline.
 
     It may be the case that the probe beam will not exit the magnetized plasma due to a plasma cutoff at some location along the trajectory. In that case the CW polarimeter/interferometer is useless but a pulsed polarimeter can, in theory, provide local density and magnetic field measurements up to the location of the cutoff along the trajectory 
     (j) Next step devices. Future laboratory magnetized plasmas will be more challenging to diagnose. The direction in tokamak development in the MFE program is larger size, higher magnetic field and higher density and achieving ignition (burning plasmas). ITER is the next scale in tokamak devices. The pulsed polarimetry technique thrives on the new devices since the Faraday effect is stronger (larger n e B ∥  product) but also the pulse length can be longer and maintain the same relative size to the device thereby simplifying the light source.
 
(k) The HEDLP research field. In the HEDLP field, the magnetized plasmas are compressed to very small dimensions (˜10 cm) and with enormous magnetic fields and densities. The density is so high that light sources in the visible and NIR must be used to be above cutoff. Even at optical wavelengths, the Faraday effect is strong enough to produce a measurable effect. Fortunately powerful pulsed lasers in the visible are well developed and pulse lengths on the order mm&#39;s-cm&#39;s are readily available and well suited for these magnetized plasmas. Pulsed polarimetry has a unique opportunity to play a major role in the understanding of MHD stability and dynamics of HEDLP magnetized plasmas. For one thing, the choice of diagnostics for these devices is exceedingly poor as many conventional diagnostics cannot be used, even the conventional Thomson scattering is overwhelmed by background plasma emission from the exceedingly high densities. The diagnostics that can be applied are usually much more demanding given the short time scales. However, the exceptionally high n e  and n e B ∥  product of HEDLP plasmas enhance the performance of the pulsed polarimeter enormously. Also, the time resolution of a pulsed polarimeter is exceptionally high, 660 ps transit time for L p =10 cm. The magnetic field profile measurements are fast enough to resolve the dynamics of even these extremely transient plasmas. The backscatter levels are so high that the emission must be attenuated. The plasma cross section so small that one could imagine using a large diameter polarized light pulse with r beam  larger than the plasma radius to illuminate the entire plasma cross section and a 2-d(r, θ) array of pulsed polarimeter systems to provide a 3-d image of B ∥ (r, θ, z, T), n e (r,θ,z,T) and T e (r,θ,z,T) which would make these magnetized plasmas the best diagnosed. Pulsed polarimetry is well suited to this research and could improve the understanding of these plasmas in significant ways.
 
(l) Radiation capatibility. Deuterium-tritium fuel will be burned in the ITER plasma producing gigawatts of fusion power for 10&#39;s of minutes, exposing diagnostics to high neutron fluxes and activating the vessel. Remote handling methods will be a key development to keep ITER running. Diagnostics will have to be easily serviced by remote handling. One cannot envision a more compatible diagnostic than the pulsed polarimeter other than the LIDAR Thomson scattering diagnostic for interfacing with such a harsh environment. The light pulses can be sourced as remote from the magnetized plasma as necessary, the light pulse being relayed by mirrors and aimed to the required location by a final steering mirror in the torus and the emission being similarly collected. The polarized light pulse trajectory can be steered by the final steering mirror to provide wide access to the magnetized plasma.
 
     In the case of HEDLP research, the radiation hazards are also severe when the plasma is fully compressed. In this case the plasma burn takes place in microseconds and is intense. The magnetized plasma confinement vessel is destroyed in the compression process. Two strong arguments for remotely sited optical instruments. 
     The present invention shows great promise to make significant contributions to the magnetic confinement field on all future high performance devices. 
     The foregoing description, for purposes of explanation, used specific nomenclature to provide a thorough understanding of the invention. However, it will be apparent to one skilled in the art that the specific details are not required in order to practice the invention. The foregoing descriptions of specific embodiments of the present invention are presented for purposes of illustration and description. They are not intended to be exhaustive of or to limit the invention to the precise forms disclosed. Obviously, many modifications and variations are possible in view of the above teachings. The embodiments are shown and described in order to best explain the principles of the invention and its practical applications, to thereby enable others skilled in the art to best utilize the invention and various embodiments with various modifications as are suited to the particular use contemplated. It is intended that the scope of the invention be defined by the following claims and their equivalents: