Abstract:
Super-resolution optical components and left-handed materials thereof are provided. A left-handed material includes a substrate, a plurality of deformed split ring resonators (DSRR), and a plurality of metallic bars, wherein the DSRR and the metallic bars are disposed on the substrate with each DSRR and metal bar alternately arranged.

Description:
This application is a Divisional of co-pending application Ser. No. 11/165,123 filed on Jun. 24, 2005, and for which priority is claimed under 35 U.S.C. § 120; and this application claims priority of Application No. 93141729 filed in Taiwan, Republic of China on Dec. 31, 2004 under 35 U.S.C. § 119; the entire contents of all are hereby incorporated by reference. 
    
    
     BACKGROUND 
     The invention relates to left-handed materials, and in particular to left-handed materials with deformed split ring resonators (DSRR) conducted to provide negative permeability. 
     With reference to the discussion of negative permeability material or left-handed metallic structure, in 1968, Veselago disclosed a theory that when transmitted through a substance with negative dielectric coefficient and negative permeability, an electromagnetic wave will display a distinctive and unusual quality. Moreover, in 1996, Pendry disclosed a system combining the split-ring resonator array with a metallic line array to enable an electromagnetic wave of a certain microwave band to simultaneously possess a negative dielectric coefficient and negative permeability. In 2000, Pendry also applied this theory to the analysis of optical lens resolution. Thus, if a metallic structure with left-handed materials can be developed, the metallic structure will be capable of altering the non-penetrability of ordinary substances and modulating the wave-transmitting direction. Additionally, if formed on a large-scale silica substrate or other transparent substrate, the left-handed material can be introduced to produce a planar super-resolution optical lens. Accordingly, the requirements of delicate mechanical tolerance can be reduced, thus increasing assembly efficiency and production yield. 
     SUMMARY 
     Super-resolution optical components and left-handed materials thereof are provided. A left-handed material includes a substrate, a plurality of deformed split ring resonators (DSRR), and a plurality of metallic bars, wherein the DSRR and the metallic bars are disposed on the substrate with each DSRR and metal bar alternately arranged. 
    
    
     
       DESCRIPTION OF THE DRAWINGS 
       The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the office upon request and payment of the necessary fee. 
       Super-resolution optical components and left-handed materials thereof can be more fully understood by reading the subsequent detailed description and examples with references made to the accompanying drawings, wherein: 
         FIG. 1  is a diagram of microwave simulation of left-handed materials of the invention; 
         FIG. 2  shows a microwave experiment frame conducted to verify the simulation result of  FIG. 1 ; 
         FIG. 3  shows the result of the experiment utilizing the microwave experiment frame of  FIG. 2 ; 
         FIG. 4   a  shows the aberration analysis result of left-handed materials within the visible light; 
         FIG. 4   b  shows the aberration analysis result of left-handed materials within the visible light; 
         FIG. 4   c  is s light spot diagram of left-handed materials within the visible light; 
         FIG. 5  is a diagram of the deformed split ring resonators having negative permeability; 
         FIG. 6  is a diagram of the deformed split ring resonators combined with the split metallic bars on the same substrate; 
         FIG. 7  is a diagram of the deformed split ring resonators combined with the split metallic bars disposed on the different substrate; 
         FIG. 8  is a diagram of the deformed split ring resonators combined with the long metallic bars on the same substrate; 
         FIG. 9  is a diagram of the deformed split ring resonators combined with the long metallic bars disposed on the different substrate; 
         FIG. 10  is a diagram of the planar optical focusing lens utilizing the left-handed material of the invention; 
         FIG. 11  is a diagram of the waveguide component utilizing the left-handed material of the invention; and 
         FIG. 12  is a diagram of the left-handed material with external circuits or external optical controllers. 
     
    
    
     DETAILED DESCRIPTION 
     Please refer to  FIG. 1 .  FIG. 1  is a diagram of microwave simulation of left-handed materials of the invention. When the refraction index is negative and the simulation microwave waveband is 10.8 GHz, the input waveband first passes through two slits and forms an intensity distribution. Then, as shown in  FIG. 1 , after passing through the negative permeability material, the intensity distribution can return to the original condition without dispersion. 
       FIG. 2  shows a design of a verified experiment frame using microwave waveband 10.8 GHz as the input source. Further, when the input waveband passes through two slits disposed at a specified distance and the left-handed material, as shown in  FIG. 3 , two peaks can be analyzed via the left-handed material of the invention. Thus, it is verified that the resolution of microwave waveband is smaller than the wavelength of the microwave. 
     In fact, the inventive negative permeability structure may be applied to produce super-resolution optical focusing lenses such that the light wave may be focused to the extent that the resolution of light wave is smaller than the wavelength of the light wave. 
     Please refer to  FIG. 4   a .  FIG. 4   a  shows the aberration analysis result of the corresponding focal plane. As shown in  FIG. 4   a , even though the equivalent field of view is 20 degrees (the total field of view is 40 degrees), all kinds of aberrations are zero. Referring next to  FIGS. 4   b  &amp;  4   c ,  FIG. 4   c  shows the spot-sized diagram of left-handed materials within the visible light. As shown in  FIG. 4   c , the spot size is much smaller than the Airy disc corresponding to the diffraction limit. 
     Further, please refer next to  FIG. 5 .  FIG. 5  is a diagram of deformed split ring resonators having negative permeability of the invention, wherein the negative permeability metallic structure A 1  comprises a plurality of deformed split ring resonators  51 . Moreover, each deformed split ring resonator  51  comprises two L-shaped metallic structures and is arranged in such a manner “           ”.
     Additionally, the deformed split ring resonators  51  may be periodic or non-periodic and the suitable input wavelength is not limited to the visible light because the input wavelength is related to the period and the line width of the metallic pattern of the deformed split ring resonator  51 . When the deformed split ring resonators  51  are periodic, as shown in  FIG. 5 , the length of period a and period b may be smaller than the input wavelength. When the deformed split ring resonators  51  are non-periodic, either the physical size of a structure unit or the line width of the metallic pattern may be smaller than the input wavelength. For example, with respect to the 1550 nm input wavelength, the physical size of a structural unit may be about 800 nm and the line width of the metallic pattern may be about 200 nm. Further, the thickness of the metallic structure is usually 200-500 nm, but not limited thereto. Additionally, the deformed split ring resonators  51  may be made of any metal element in the periodic table, transparent electric conduction materials, or other electric conduction materials substituted for metal. 
     Please refer to  FIGS. 6-9 , the deformed split ring resonators  51  may be combined with the split metallic bars  52  (as shown in  FIG. 6 ) or the long metallic bars  53  (as shown in  FIG. 8 ) to form a left-handed material, wherein the above-mentioned metallic structures are formed on a silica substrate or other transparent substrates. As shown in  FIG. 6 , the deformed split ring resonators  51  are combined with the split metallic bars  52  on the same substrate to form a left-handed material A 2 , wherein the left-handed material A 2  may be formed on a silica substrate or other transparent substrate. Symbol c and symbol d respectively represent different periods of the split metallic bars  52 .  FIG. 7  is a diagram of the deformed split ring resonators  51  combined with the split metallic bars  52  disposed on a different substrate to form a left-handed material A 3 , wherein δ 1  represents a distance between the deformed split ring resonator layer  54  and the split metallic bar layer  55  and the distance is usually smaller than input wavelength. Additionally,  FIG. 8  is the deformed split ring resonators  51  combined with the long metallic bars  53  on the same substrate to form a left-handed material A 4 , wherein the left-handed material A 4  may be formed on a silica substrate or other transparent substrate. Symbol e represents the period of the long metallic bars  53 .  FIG. 9  is a diagram of the deformed split ring resonators  51  combined with the long metallic bars  53  disposed on a different substrate to form a left-handed material A 5 , wherein δ 2  represents a distance between the deformed split ring resonator layer  54  and the long metallic bar layer  56  and the distance is usually smaller than the input wavelength. 
     The left-handed material of the invention may be implemented in other aspects. In a preferable embodiment, as shown in  FIG. 10 , by arranging a cube of parallelly disposed left-handed materials A 4  on the large silica substrate or other transparent substrates, a super-resolution optical component or a super-resolution optical focusing lens is formed. It is emphasized, however, that the left-handed material of the invention may also be applied to any other shape. 
     Moreover, the left-handed material of the invention may be introduced to a waveguide component  100 . As shown in  FIG. 11 , a waveguide component comprises a light source  101 , a light-coupling device  102 , a left-handed material A 4 , and a dispersion waveguide component  103 , wherein the light source  101  may be a multi-wavelength laser conducted to emit light and the light-coupling device  102  may be a fiber conducted to transmit the light from the light source  101 . Additionally, the left-handed material A 4  is conducted to disperse the light processed by the light-coupling device  102  and then the dispersion waveguide component  103  is conducted to receive the light dispersed by the left-handed material A 4 . Under the trend of photon crystal integration, the left-handed material may also be used as a mode converter between a fiber and a photon crystal device. 
     Another application of the left-handed material is coordination with external circuits or external optical controllers. Further, this device may form a waveguide component  110  capable of adjusting the index of refraction and the focusing efficiency. As shown in  FIG. 12 , a programmable waveguide component  110  comprises a light source  112 , a first modulation signal  111 , a second modulation signal  113 , an amplifier  114 , a resistance variable device  115 , and a left-handed material A 4 , wherein the light source  112  may be light emitting diode (LED) or laser and the first modulation signal  111  is conducted to control the light source  112 . Moreover, the amplifier  114  is conducted to amplify the second modulation signal  113  and the resistance variable device  115  is electrically connected with the amplifier  114  to receive the control signal and further control the material features of the left-handed material A 4 . The left-handed material A 4  is electrically connected with the resistance variable device  115  to modulate the light emitted from the light source  112 . 
     As previously described, the invention provides deformed split ring resonators having negative permeability. By combining the deformed split ring resonators with the metallic bars, a left-handed material can be formed. The left-handed material can be utilized to produce a super-resolution optical focusing lens or a programmable super-resolution waveguide component. 
     While the invention has been described by way of example and in terms of preferred embodiment, it is to be understood that the invention is not limited thereto. To the contrary, it is intended to cover various modifications and similar arrangements (as would be apparent to those skilled in the art). Therefore, the scope of the appended claims should be accorded the broadest interpretation so as to encompass all such modifications and similar arrangements.