Patent Description:
X-ray methods are the most powerful non-destructive tools for analyzing matter. Electromagnetic radiation in the extreme ultraviolet (EUV) or soft x-ray spectral range (<NUM>-<NUM> wavelengths or <NUM>-<NUM> keV photon energies) is rapidly gaining importance in both fundamental research and industrial applications.

However, successful application depends critically on the brilliance of the available sources. Currently, the degree of coherence and the average photon flux required by advanced applications is only available at large-scale synchrotron facilities and EUV Free Electron Lasers (FELs), severely limiting the range of applications.

<NPL>, describes a specially designed accelerator structure and a pulsed power supply that are essential parts of a high brightness cold atoms-based electron source. The accelerator structure allows a magneto-optical atom trap to be operated inside of it, and also transmits subnanosecond electric field pulses. The power supply produces high voltage pulses up to <NUM> kV, with a rise time of up to <NUM> ns. The resulting electric field inside the structure is characterized with an electro-optic measurement and with an ion time of-flight experiment. Simulations predict that <NUM> fC electron bunches, generated from trapped atoms inside the structure, reach an emittance of <NUM> mrad and a bunch length of <NUM> ps.

In one aspect, the invention provides a compact, lab-sized and affordable soft X-ray source generating tunable, narrowband, fully coherent and intense soft X-ray photons, with a brilliance previously only provided by SLS and/or XFEL facilities.

The device combines an Ultra-Cold Electron Source (UCES) with an electron accelerator and a high-power laser in an Inverse-Compton-Scattering setup. The intense laser beam collides head-on with a counter propagating beam of electrons extracted from the ultra-cold electron source, travelling at a velocity close to the speed of light. Due to the relativistic Doppler effect the laser photons that bounce off the electrons are converted into (soft) X-ray photons, constituting a narrow (soft) X-ray beam travelling in the same direction as the electrons.

The electron pulses are created by a two-step photo-ionization process of an ultracold atomic gas, which enable precise tailoring of the initial electron density distribution in three dimensions. The initial longitudinal density distribution can be modulated by exciting the atoms using a standing wave of light. The excited atoms are then ionized to create a modulated electron distribution (micro-bunches), with a modulation period that is determined by the standing wave of light. The picosecond electron pulse is RF accelerated to a few MeV and simultaneously RF compressed by two orders of magnitude. This means that the modulation period is shrunk by the same two orders of magnitude. The modulation period is now equal to the wavelength of the soft x-ray pulse that is going to be generated. As a result the generated soft X-ray beam will be fully temporally coherent. In addition, the radiation generated by the individual micro bunches will add up coherently so that the intensity will be boosted by an amount proportional to the number of the electrons in the bunch. This boosts the intensity to intensities comparable to SLS and XFELs.

Simultaneously, the picosecond electron pulses extracted from the UCES source which are accelerated to a few MeV have an ultra-low electron temperature which means that the electron beam divergence is smaller than that of a diffraction limited soft X-ray beam; this guarantees the production of a fully spatially coherent soft X-ray beam.

Significantly, the device can generate tunable, narrowband (soft) X-ray beams which are fully coherent and have super-radiant intensity. This provides the realization of a table-top Compton soft X-ray free Electron Laser. This new type of table-top soft X-ray source has a performance in terms of brilliance, intensity and coherence vastly superior to all other compact sources, has many applications, in particular for wafer inspection in the semiconductor industry and high contrast imaging of biological samples in the <NUM>-<NUM> water window spectral regime.

At the present there is no alternative method to realize a fully coherent table-top soft X-ray free electron laser. The technique for extracting electrons from the ultra-fast ultra-cold electron source provides pre-bunching to reach longitudinal coherence and super-radiance, ultralow electron temperature (emittance) for transverse coherence. By combining spatial modulation of the photoionization process with radio frequency bunch compression techniques, micro-bunching at EUV wavelengths and thus coherent amplification is realized.

The device may be used as an injector for an Inverse Compton Scattering (ICS) source. The high degree of coherence provided by the UCES allows the use of new, coherent regimes of ICS at EUV wavelengths. As a result, it has many important applications:.

In one aspect, the invention provides a device for generating soft x-rays, the device comprising: an electron source configured to generate an electron beam comprising electron micro-bunches; an electron accelerator configured to accelerate the electron micro-bunches from the electron source; and a laser configured to generate a laser beam colliding with the accelerated electron micro-bunches in a counter-propagating direction to generate the soft x-rays; wherein the electron source comprises: a magneto-optical trap configured to produce an ultracold atomic gas; two counterpropagating excitation laser beams configured to produce a standing wave for inducing a periodic spatial modulation of the ultracold atomic gas along a beam propagation direction; an ionization laser configured to induce photo-ionization of the ultracold atomic gas.

Preferably, the electron accelerator comprises an RF compression cavity and X-band accelerator to simultaneously compress and accelerate the electron micro-bunches. Preferably, the electron accelerator comprises steering coils and a focusing magnetic coil. In some embodiments, wherein the electron accelerator comprises an RF compression cavity configured to operate in TM010 mode. In some embodiments, wherein the electron source comprises a DC plate configured to produce a DC acceleration field to extract the electron micro-bunches from the electron source.

In another aspect, the invention provides a method for generating soft x-rays, the method comprising: generating by an electron source an electron beam comprising electron micro-bunches; accelerating by an electron accelerator the electron micro-bunches from the electron source; and colliding a laser beam with the accelerated electron micro-bunches in a counter-propagating direction to generate the soft x-rays; wherein generating the electron beam comprising electron micro-bunches comprises: producing an ultracold atomic gas by a magneto-optical trap; producing a standing optical wave to induce a periodic spatial modulation of the ultracold atomic gas along a beam propagation direction; inducing photo-ionization of the ultracold atomic gas.

Preferably, wherein accelerating the electron micro-bunches comprises compressing the electron micro-bunches with an RF compression cavity and simultaneously accelerating the electron micro-bunches with an X-band accelerator. In some embodiments, wherein accelerating the electron micro-bunches comprises compressing the electron micro-bunches with an RF compression cavity operating in TM010 mode. Preferably, wherein generating the electron beam comprises extracting the electron micro-bunches from the electron source using a DC acceleration field. Preferably, wherein producing a standing optical wave to induce a periodic spatial modulation of the ultracold atomic gas along a beam propagation direction comprises inducing double-modulation.

An embodiment of the invention comprises an apparatus that entails the combination of an Ultra-Cold Electron Source (UCES) with an electron accelerator and a high-power laser in an Inverse-Compton-Scattering (ICS) setup. The intense laser beam collides head-on with a counter propagating beam of electrons extracted from the ultra-cold electron source, travelling at a velocity close to the speed of light. Due to the relativistic Doppler effect the laser photons that bounce off the electrons are converted into (soft) X-ray photons, constituting a narrow (soft) X-ray beam travelling in the same direction as the electrons. The implementation of the UCES as a source for ICS will lead to unprecedented soft x-ray coherence and brilliance. The electron pulses are created by a two-step photo-ionization process of an ultracold atomic gas, which enables precise tailoring of the initial electron density distribution in three dimensions. The initial longitudinal density distribution can be modulated by exciting the atoms using a standing wave of light.

In the Inverse Compton Scattering (ICS) process light from an intense laser beam is bounced off a relativistic electron beam, turning it into a bright X-ray beam through the relativistic Doppler effect, as is schematically illustrated in <FIG>.

If high power laser light <NUM> with wavelength λ<NUM>, coming in at an angle θ<NUM> with respect to an electron beam electron <NUM>, is scattered into an angle θx, then the wavelength of the scattered light <NUM> is given by: <MAT> where β = v/c is the velocity of the electrons normalized to the speed of light. For a head-on collision, i.e., θo= <NUM>, with electrons moving at velocities close to the speed of light, i.e., β ≈ <NUM>, Eq. (<NUM>) can be approximated by <MAT> with γ = (<NUM>-β<NUM>)-<NUM>/<NUM>, the Lorentz factor of the relativistic electron beam. For example, for a laser wavelength λ<NUM> = <NUM> and a moderately relativistic electron beam with kinetic energy Ukin = <NUM> MeV, i.e., β = <NUM> and γ = <NUM>, soft X-rays will be generated at wavelengths as short as λx = <NUM>. The X-rays will be emitted in a cone with a half angle of about γ-<NUM> centered around the direction of the electron beam, with the shortest wavelengths being generated in the forward direction (θx = <NUM>) and progressively longer wavelengths for increasing θx. The intrinsic narrowband nature of an ICS based source, combined with its high degree of directionality and the straightforward way in which the X-ray wavelength can be tuned continuously by simply changing the electron beam energy, make it a very attractive method for generating X-rays. Arguably it is the cleanest, purest and most controlled way of generating X-rays.

Unfortunately, however, the efficiency of the ICS process is very low. Assuming the electron beam waist is much smaller than the laser beam waist, the number of X-ray photons Nx produced when a bunch of Ne electrons collides with a laser pulse of N<NUM> photons is given by <MAT> where στ = <NUM>×<NUM>-<NUM> m<NUM> is the Thomson scattering cross section and w<NUM> is the waist of the laser beam. For example, if <NUM>, <NUM> mJ laser pulses are collided with <NUM> pC electron bunches at a repetition rate of <NUM> in a laser beam waist w<NUM> = <NUM>, then an X-ray flux ΦX ≈ <NUM>×<NUM><NUM> photons/s will be generated. This is an optimistic estimate, assuming state-of-the-art pulsed electron and laser beam technology, but it is still <NUM>-<NUM> orders of magnitude below the desired flux for advanced imaging applications. Moreover, the bandwidth will be large, as photons scattered at all angles are used in the estimate, and the spatial coherence of the generated soft X-ray beam will be very small, <<NUM>-<NUM> partial coherence, due to the inevitably large angular spread of the electron beam, associated with the finite emittance of a <NUM> pC bunch.

In order to generate a soft X-ray beam by ICS with full spatial coherence, first and foremost an electron beam with very high transverse quality is required. Transverse beam quality is usually expressed in terms of the geometrical emittance ε , or focusability of the beam, expressed in units [m rad], which is equal to the product of beam size and uncorrelated angular spread. An electron beam can only generate a diffraction-limited, i.e. fully spatially coherent, X-ray beam if its emittance ε < λX/4π. Since geometrical emittance depends on beam energy, it is convenient to define the normalized emittance εn = γβε, which is a Lorentz invariant measure for beam quality. In terms of the normalized emittance the coherence condition becomes: <MAT>.

By combining Eq. (<NUM>) with θ<NUM> = θX = <NUM> and Eq. (<NUM>) with an equality sign, we can calculate the minimum conditions necessary for spatially coherent ICS, resulting in the plot shown in <FIG>.

<FIG> shows the EUV wavelengths λX that can be generated by spatially coherent ICS for a given laser wavelength λ<NUM> and normalized emittance εn. The required electron beam energy is indicated by white dashed lines. For example, for λ<NUM> = <NUM>, εn = <NUM> rad, and <NUM> MeV beam energy, spatially coherent EUV radiation is generated with λX = <NUM>. It is immediately clear from <FIG> that in order to generate coherent EUV radiation by ICS, high quality electron beams are required with normalized emittances preferably below <NUM> rad. Such beam qualities are usually associated with electron microscopy sources, which do not allow the generation of bunches with a lot of charge.

The UCES is based on ultracold atomic gas, usually rubidium vapor, which is cooled and trapped in a Magneto Optica Trap (MOT), and subsequently photoionized, using a two-step photoionization scheme, as is illustrated in FIG. 3A, 3B, 3C. Ultracold atoms are atoms that are maintained at temperatures close to <NUM> kelvin (absolute zero), typically several hundreds of microkelvin (µK).

3A shows a Rubidium atom <NUM> laser-cooled and trapped in a MOT using perpendicular laser beams <NUM>, <NUM> and coils <NUM>, <NUM>. Subsequently, after the cooling lasers are switched off, the laser-cooled Rubidium atom <NUM> is photoionized to produce a Rubidium ion <NUM> using a two-step photoionization scheme, employing the combination of a <NUM> excitation laser beam <NUM> and a <NUM> ionization laser beam <NUM>, as shown in FIG. The ion <NUM> and electron <NUM> that are created in the volume where the two laser beams <NUM>, <NUM> overlap are separated from each other and extracted with DC electric field plates <NUM>, <NUM>. Although just one pair is shown for purposes of illustration, many such ions and associated electrons are produced. The <NUM> excitation laser beam <NUM> is tuned to excite the 5P<NUM>/<NUM> state of the atom, and the wavelength of the ionization laser beam <NUM> may be adjusted to precisely control the excess energy of the electrons, as illustrated in the energy level diagram of FIG. By varying the <NUM> laser wavelength, the excess energy of the electrons, and thus the electron temperature of the source, can be accurately controlled.

The UCES is characterized by electron temperatures as low as <NUM>, <NUM>-<NUM> orders of magnitude lower than conventional photoemission sources, as was demonstrated first by nanosecond photoionization [<NUM>,<NUM>] and later by femtosecond photoionization as well [<NUM>,<NUM>]. As the normalized emittance of a source can be written as <MAT> where σs is the root-mean-squared (RMS) transverse source size and Te is the source electron temperature, it is clear that the UCES allows much smaller normalized emittances than are possible with conventional photoemission sources. For example, for an RMS transverse size σs = <NUM> and electron temperature Te = <NUM>, the normalized emittance εn = <NUM> rad, a value that is routinely achieved with the UCES [<NUM>,<NUM>,<NUM>]. In a Rb MOT the size of the trapped gas cloud and thus the longitudinal size of the ionization volume is typically <NUM> and the densities can be as high as a few <NUM><NUM> m -<NUM>, implying that Ne≈ <NUM><NUM>-<NUM><NUM> electrons can be created with εn = <NUM> rad. This combination of bunch charge and beam quality should enable, e.g., single-shot protein crystallography [<NUM>,<NUM>,<NUM>], which is one of the main driving forces behind the development of the UCES. Note that to achieve a similar normalized emittance from a conventional photocathode would require a source size σs ≤ <NUM>. To extract bunches with <NUM><NUM> electrons from such a small spot would require unrealistic GV/m electric field strengths. The UCES however, allows even smaller emittances: by reducing the size of the overlap between the excitation and the ionization laser (FIG. 3B) to σs = <NUM>, bunches containing Ne ≈ <NUM><NUM>-<NUM><NUM> electrons with εn = <NUM> rad can be created. It thus follows (see <FIG>) that by using the UCES as an electron injector for an ICS source, fully spatially coherent radiation can be generated over the entire EUV spectral range. This is a unique property of the UCES and by itself more than enough reason to pursue this new approach. However, the amount of EUV photons generated with such bunches will be very modest (see Eq. (<NUM>)). Fortunately, the special characteristics of the UCES allow another trick to be played, which will both boost the photon yield enormously and take care of temporal coherence as well.

The resonant two-step photoionization process, employing the combination of an excitation laser, tuned to an intermediate atomic level, and an ionization laser, exciting atoms from the intermediate state to the continuum, allows very precise control of the initial density distribution of the ionized gas: since atoms are only ionized in the region where the two laser beams overlap, the initial electron bunch distribution can be accurately tailored in 3D by modulating the beam profiles of the two lasers. This was beautifully demonstrated by the Scholten group at the University of Melbourne, who used a Spatial Light Modulator (SLM) to shape the excitation laser beam and thus create electron bunches with intricate, almost arbitrary charge distributions, with the smallest sized structures only limited by the diffraction of the laser light [<NUM>]. The low temperature of the source turns out to be essential to maintain these intricate structures, which immediately get blurred due to random thermal motion of the electrons at higher source temperatures.

Embodiments of the invention use an effective way to shape the initial charge distribution in a way extremely beneficial for boosting the ICS yield. As illustrated in <FIG>, the excitation laser beam <NUM> includes two coherent counterpropagating laser beams (<NUM>, in the case of Rb) which produce a standing wave pattern along the electron beam axis of the device. For example, a single beam can be split in two, with one beam sent in from the back and the other from the front, together creating a standing wave pattern. The accelerated electron beam can be magnetically deflected out of the incoming laser beam. Alternatively, one could retro-reflect the laser beam coming from the back on a mirror placed up stream in the path of the electron beam. A small hole in the mirror would transmit the electron beam, while minimally affecting the standing wave pattern. It should also be noted that the two counterpropagating laser beams creating the standing wave pattern need not be exactly counter-propagating; they may intersect at a small angle, provided their overlap is sufficient to create a standing wave pattern along a sufficient length of the beam axis in the MOT.

By using a <NUM> standing wave to excite the <NUM><NUM>P<NUM>/<NUM> state, the excited Rb atoms <NUM> in the MOT will be spatially modulated with a period of λmod = <NUM>. The atoms <NUM> outside the standing wave <NUM> remain in their laser-cooled ground state. The periodic spatial modulation of excited atoms <NUM> are subsequently ionized by a femtosecond ionization laser (<NUM>, in the case of Rb), aligned perpendicular to the excitation laser beam, thus almost instantly creating an electron bunch spatially modulated with a period equal to half the excitation laser wavelength, i.e., λmod = <NUM>.

To generate EUV radiation by ICS, the electron bunch is accelerated to <NUM>-<NUM> MeV. This uses radio frequency (RF) accelerator structures. A very compact accelerator structure operating at <NUM>, in the so-called 'X-band', is used instead of the more conventional <NUM> 'S-band' accelerating structures. Because of the high accelerating fields in the X-band accelerators, typically ><NUM> MV/m, only <NUM> X-band cells, and thus less than <NUM> of accelerator structure is sufficient to cover the entire EUV spectral regime. Only acceleration, however, is not sufficient. In order to boost the ICS yield substantially coherent amplification is required. This can be accomplished by compressing the bunch in such a way that at the point where the accelerated bunch collides with the laser pulse, the period of the spatial modulation is decreased to the wavelength of the EUV radiation generated. For example, by accelerating a bunch with a normalized emittance εn = <NUM> rad to an energy of <NUM> MeV and colliding it with a <NUM> laser pulse, spatially coherent EUV radiation is generated at a wavelength of <NUM> (see <FIG>). During initiation, the bunch is spatially modulated with a period equal to half the excitation laser wavelength, i.e. <NUM>, so during acceleration the bunch has to be compressed by a factor <NUM>. As a result, the fields of the radiation emitted by the individual micro-bunches will add up in phase, thus coherently amplifying the EUV photon yield proportional to the bunch charge squared. Strictly speaking, coherent 'stimulated' emission is added to the incoherent 'spontaneous' emission, described by Eq. (<NUM>): <MAT>.

Here <NUM> ≤ F ≤ <NUM> is the form factor associated with the electron bunch distribution: in absence of any density modulation F = <NUM>, while F = <NUM> for a bunch with a perfect periodic longitudinal density distribution. Here perfect means that the Fourier transform of the longitudinal density distribution only contains spatial frequency components associated with the EUV wavelength to be generated. For bunch charges of <NUM> pC, i.e., Ne= <NUM>×<NUM><NUM> electrons, colliding with <NUM> mJ, <NUM> laser pulses in a w<NUM> = <NUM> waist at a repetition rate of <NUM>, the incoherent ICS photon flux (Eg. (<NUM>)) is ΦX = <NUM>×<NUM><NUM> ph/s. Assuming a perfect density modulation, the coherent photon flux is ΦX = <NUM>×<NUM><NUM> ph/s, more than sufficient for recording a full image. To obtain the same photon flux by incoherent ICS would require focusing a sub-ps, few MeV, <NUM> nC electron bunch to a spot smaller than <NUM>, which is not possible.

The coherent amplification of pulsed-electron-beam based radiation sources by this so-called superradiance mechanism is well known and has been applied times before. The challenge is always how to realize the required longitudinal density modulation, in the case of EUV radiation at the nanometer scale. Already in <NUM> Carlsten et al. proposed to apply the density modulation in the transverse direction first, which can be done quite straightforwardly with a mask, and subsequently use a magnetic chicane to transfer it to the longitudinal direction [<NUM>]. The Graves group at MIT/ASU has recently devised a particularly smart variation of this method to actually realize nano-modulated electron beams and thus use superradiance to coherently amplify the soft X-ray photon yield in an ICS setup [<NUM>]. The UCES based method used here, has two major advantages: first, the two-step photoionization method allows extremely accurate shaping of the initial longitudinal bunch density distribution (see <FIG>); second, the UCES based method provides full spatial coherence.

The combination of superradiant amplification of the emission by microbunching of the electron bunch and fully spatially coherent emission, constitutes the realization of a Free Electron Laser operating at EUV wavelengths, an EUV Compton FEL. The UCES-based EUV Compton FEL would have a footprint of only a few square meters, in stark contrast with present-day FEL facilities. Clearly, this would be an enormously important development allowing wide-spread dissemination of EUV FELs in academic and industrial labs and potentially even in semiconductor fabs.

Although in principle the UCES provides the ingredients necessary to realize full spatial coherence and superradiant emission, there are still major obstacles facing actual realization of a EUV Compton FEL. These obstacles can be summarized in a single, major challenge: the control of space charge forces. To achieve a large photon flux, as many electrons as possible should radiate in perfect unison, while confined in a very small volume, both focused transversely to a few µm, and compressed longitudinally to a few <NUM> (temporal compression to ~<NUM> fs). The space charge forces associated with these high charge densities could cause deformation of the phase space distribution of the bunch, which could lead to irreversible emittance growth and thus loss of spatial coherence. Moreover, space charge forces could hamper bunch compression, leading to an imperfect bunch density modulation at the interaction point and thus reduced superradiance.

In <FIG> the different longitudinal phase space distributions of a propagating electron bunch are shown in relation to components of a UCES-based ICS device. The device includes a sequence of elements coaxially aligned with a central electron beam propagation axis. In ionization step <NUM> an electron bunch <NUM> with a longitudinal periodic density modulation is created inside the grating-MOT-based UCES and extracted with DC plates <NUM>, <NUM> that accelerate the bunches to a few <NUM> keV. Because the electrons created in the back of the bunch are accelerated over a larger distance, they acquire a larger kinetic energy and thus a higher velocity than those in the front of the bunch. In step <NUM>, after exiting the DC accelerator the bunch <NUM> has acquired a negative energy chirp, leading to velocity bunching. In self-compression step <NUM>, the bunch continues to propagate through a drift space until the bunch <NUM> reaches a self-compression point, where the electrons in the back of the bunch overtake those in the front. In stretching step <NUM>, the propagating bunch experiences stretching to produce a bunch <NUM> with positive energy chirp. Completing its drift space propagation, in compression step <NUM> the bunch <NUM> enters and passes through a <NUM> resonant RF compression cavity <NUM> in TM<NUM> mode, inverting the chirp, acquiring a strong negative chirp again, leading to bunch compression by velocity bunching in the drift space behind the RF cavity. In acceleration step <NUM>, the bunch <NUM> then enters and passes through a <NUM> x-band accelerator <NUM>, boosting the average bunch energy to a desired energy. After exiting the X-band accelerator, the bunches compress as they propagate. Just before maximum compression, exactly at the point where the density modulation is properly lined up again, the bunches reach an interaction point. In interaction step <NUM> the accelerated bunch <NUM> collides at the interaction point with counter-propagating high-power laser beam <NUM> to produce soft x-rays <NUM>.

In other embodiments, the periodic spatial modulation in the MOT may be accomplished in the ground state gas by using the dipole force in the standing wave of two counter propagating laser beams at a wavelength far-detuned to the blue with respect to the transition to the intermediate state. In fact, this could be a superior method, since it would entail compressing the atoms prior to excitation, thus leading to higher initial bunch densities.

Interestingly, by combining the standing waves of the excitation laser and a 'dipole force' laser, a multi-periodic modulation would result, which would include structures at the scale of the difference of the two wavelengths, possibly much smaller than the diffraction limit at optical wavelengths. This could be useful when considering the possibility of using the UCES for realizing coherent amplification of hard X-rays. In addition, this would open the possibility of coherent amplification at two wavelengths simultaneously, and thus two-color operation at EUV wavelengths. To realize this, a doubly modulated bunch would collide with two laser pulses at different wavelengths. The normalized emittance, beam energy and laser wavelengths can be read off from <FIG>. To give an example: by having a properly doubly modulated electron bunch with a normalized emittance of <NUM> rad and accelerated to <NUM> MeV, collide with both a <NUM> laser pulse and a <NUM> laser pulse, fully coherent and coherently amplified EUV radiation both at <NUM> and <NUM> would be generated. Clearly, the two-step photoionization method and the use of the dipole force, possibly combined with Spatial Light Modulators (SLMs), allow intricate ways for very precise and flexible tailoring of the density distribution, leading to new applications.

In <FIG> a 3D rendering is shown of an embodiment of a UCES-based ICS setup. The main components are a grating-MOT-based UCES <NUM>, an RF compression cavity <NUM> and an X-band accelerator section <NUM>. The electron bunches are focused with a magnetic coil <NUM> in the interaction point <NUM>, where the electron beam collides with the laser beam, generating a soft X-ray beam. The device may also include a beam dump <NUM>.

In one embodiment, a laser-cooled and trapped cloud of rubidium atoms is created using a so-called 'grating Magneto Optical Trap', a technique[<NUM>] that allows a very compact design and turn-key operation, with minimal alignment of trapping and cooling lasers and maximal access for the excitation and ionization laser beams. <FIG> shows the vacuum chamber with a grating-MOT-based UCES inside [<NUM>]. The rubidium gas is trapped between two flat electrodes, comprising an electrostatic accelerator which extracts the electrons after ionization and accelerates them to ~<NUM> keV.

For the ICS setup, a dedicated grating-MOT-based UCES is used, specifically designed for achieving high atom densities in the MOT. An Optical Parametric Amplifier (OPA), fed by an amplified Ti:sapphire laser provides the tunable femtosecond <NUM> ionization laser pulses. Ever lower electron source temperatures may be obtained by appropriate selection of the bandwidth and the temporal profile of the ionization laser pulse.

The electron bunches are compressed by velocity bunching, employing a <NUM> resonant RF cavity in TM<NUM> mode, similar to those used for single-shot, <NUM> fs Ultrafast Electron Diffraction [<NUM>-<NUM>]. <FIG> shows a design drawing of the cavity, which is optimized for low power consumption, requiring less than <NUM> W RF power and thus only a modest solid-state RF amplifier.

The RF compression cavity is very robust and reliable and has been sold by AccTec BV to many groups worldwide over the past few years. Synchronization of the compressed electron bunch with the ICS interaction laser pulse is accomplished by synchronization of the RF phase with the laser pulse [<NUM>].

Preferred embodiments use a very compact X-band accelerator structure operating at <NUM>. Because of the high accelerating fields in the X-band accelerators, typically ><NUM> MV/m, only a few X-band cells, and ~<NUM> of accelerator structure is sufficient to reach <NUM>-<NUM> MeV electron beam energies for generating EUV radiation by ICS. By injecting the bunches at the proper RF phase, acceleration could be combined with compression by velocity bunching in the X-band structure. However, we choose to separate compression and acceleration, as the RF bunch compression method is proven technology, allowing bunch compression to be controlled and optimized independently.

To maximize the EUV photon flux, a powerful, industrial pulsed sub-ps laser is preferably used to generate the laser beam that collides with the electron bunches in the interaction point. At present the most powerful turn-key systems are glass lasers providing <NUM> mJ, <NUM>, sub-ps pulses at <NUM> rep rate [<NUM>]. These expensive lasers are ideal for achieving a reliable high EUV photon yield. The <NUM>nd harmonic (<NUM>) is preferred, which can be generated with at least <NUM>% efficiency. As can be seen in <FIG>, the choice of the interaction laser wavelength is a trade-off between photon flux (more EUV photons at longer wavelength) and required emittance (longer wavelengths require smaller emittance).

The generated EUV beam may be characterized and optimized in terms of EUV wavelength, bandwidth, angular spread, photon flux, coherence and brilliance.

Following is an overview of the method of operating the device.

Modulate the excited rubidium gas in the z direction (in the <NUM><NUM>P<NUM>/<NUM> state ) using two counterpropagating <NUM> laser beams that produce a standing wave. The excited gas will be spatially modulated with a period of λmod = <NUM>.

The excited rubidium beamlets are ionized using an ultrafast ionization laser (< <NUM> picosecond) with an optical wavelength tuned close to the ionization threshold, for example, a blue ultrafast ionization laser. In this way we create a micro-bunched electron beam with a modulation period determined by the standing wave λmod = <NUM>. Additionally, due to the near-threshold photoionization the electrons have an ultra-low momentum spread which results in a beam emittance that is smaller than <NUM> rad. This creates a fully transverse coherent X-ray pulse.

In order to generate fully transverse coherent x-ray radiation by ICS, high quality electron beams are used with normalized emittances preferably below <NUM> rad. The ultra-cold electron source is used to deliver high-charge electron bunches of such a quality.

The rubidium atoms are ionized in an electrostatic acceleration field which accelerates the electrons created inside the UCES to an energy of a few tens of keV. Since the electrons that are ionized at a position further away from the aperture in the anode are accelerated to higher kinetic energy than the ones initially closer to the anode, the electron pulse acquires a negative velocity chirp after exiting the DC acceleration field. As a result, after extraction the electron pulse will self-compress. After the self-compression point, the pulse will automatically acquire a positive velocity chirp and therefore stretch again. Subsequently, using an RF cavity operated in TM<NUM> mode, the front of the electron pulse is decelerated while the back is accelerated, resulting in an electron pulse with again a negative velocity chirp.

The negatively chirped picosecond electron pulse is RF accelerated to a few MeV and is simultaneously compressed by two orders of magnitude at the interaction point. This is due to the negative chirp acquired. It does not matter in which order the compression and the acceleration take place. The compression and the acceleration can also be realized simultaneously in a single RF accelerator.

As a result, the initial modulation period λmod = <NUM> is shrunk by the same two orders of magnitude. The modulation period λmod = <NUM> of the electron beam is now equal to the wavelength λx of the soft x-ray pulse that is generated in the interaction point.

As a result, the generated soft X-ray beam will be fully longitudinal coherent. In addition, the radiation generated by the individual micro bunches will add up coherently so that the intensity will be boosted by an amount proportional to the number of the electrons in the bunch. This boosts the intensity to intensities comparable to that of SLSs and XFELs.

Simultaneously, the ultra-low electron emittance makes sure that the electron beam divergence in the interaction point is smaller than that of a diffraction limited soft X-ray beam; this guarantees the production of a fully spatially coherent soft X-ray beam.

Claim 1:
A device for generating soft x-rays, the device comprising:
an electron source configured to generate an electron beam comprising electron micro-bunches;
an electron accelerator configured to accelerate the electron micro-bunches from the electron source; and
a laser configured to generate a laser beam colliding with the accelerated electron micro-bunches in a counter-propagating direction to generate the soft x-rays;
characterised in that the electron source comprises:
a magneto-optical trap configured to produce an ultracold atomic gas;
two counterpropagating excitation laser beams configured to produce a standing wave for inducing a periodic spatial modulation of the ultracold atomic gas along a beam propagation direction;
an ionization laser configured to induce photo-ionization of the ultracold atomic gas.