YI Xu-nong, LIU Jin-song, CHEN Huan, DU Qiu-jiao. Analysis of focusing properties for paraxial Gaussian beam focused by a left-handed material slab[J]. Journal of Applied Optics, 2010, 31(6): 883-887.
Citation: YI Xu-nong, LIU Jin-song, CHEN Huan, DU Qiu-jiao. Analysis of focusing properties for paraxial Gaussian beam focused by a left-handed material slab[J]. Journal of Applied Optics, 2010, 31(6): 883-887.

Analysis of focusing properties for paraxial Gaussian beam focused by a left-handed material slab

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  • Under paraxial approximation, the transfer matrix of left-handed slab focusing system is derived. Using ABCD law, the propagation expressions for Gaussian beam focused by a left-handed material slab are obtained. On the basis of propagation formula, the focusing properties of Gaussian beam are analyzed. The beam waist of image Gaussian beam is equal to the beam waist of object Gaussian beam under paraxial approximation, that is to say, the left-handed material slab can not focus Gaussian beam. The focusing for Gaussian beam with a left-handed material coincides with imaging rules of geometrical optics and does not have focal shift.
  • [1]VESELAGO V G. The electrodynamics of substan-ces with simultaneously negative values of ε and μ[J]. Sov.Phys.Usp.,1968,10(4):509-514.
    [2]SMITH D R, PADILLA W J, VIER D C, et al. A composite medium with simultaneously negative permeability and permittivity[J]. Phys. Rev. Lett., 2000, 84(18):4184-4187.
    [3]PENDRY J B.Negative refraction makes a perfect lens[J]. Phys. Rev.Lett.,2000,85(18):3966-3969.
    [4]SHELBY R A, SMITH D R, SCHULTZ S. Ex-perimental verification of a negative index of refraction[J]. Science, 2001,292(6):77-79.
    [5]PARAZZOLI C G, GREEGOR R B, LI K, et al. Experimental verification and simulation of negative index of refraction using Snell’s law[J]. Phys.Rev.Lett.,2003,90(10):1074011-1074014.
    [6]SMITH D R, PENDRY J B, WILTSHIRE M C K. Metamaterials and negative refractive index[J]. Science, 2004,305(5685):788-792.
    [7]SHADRIVOV I V,SUKHORUKOV A A,KIVS-HAR Y S. Guided modes in negative index waveguides[J]. Phys.Rev.E,2003,67(5):057602.
    [8]SHADRIVOV I V, SUKHORUKOV A A, KIVS-HAR Y S, et al. Nonlinear surface waves in left-handed materials[J]. Phys.Rev.E,2004,69(1):016617.
    [9]BROCK J B, HOUCK A A, CHUANG I L. Focu-sing inside negative index materials[J]. Appl Phys Lett, 2004,85(13):2472-2474.
    [10]LUO H L, HU W, REN Z Z, et al. Focusing and phase compensation of paraxial beams by a lefthanded material slab[J]. Opt. Commun., 2006,266:327-331.
    [11]林振,梁昌洪.负媒质模型的时域有限差分法分析[J].强激光与粒子束,2006,18(4):615-617.
    LIN Zhen, LIANG Chang-hong. Time domain analysis of negative refractive index materials by FDTD method[J]. High Power Laser and Particle Beams, 2006,18(4):615-617. (in Chinese with an English abstract)
    [12]梁斌明,姚翠雅,李卓,等. 折射率偏离-1时的平板成像特性及改善[J].应用光学,2010,31(1):19-23.
    LIANG Bin-ming, YAO Cui-ya, LI Zhuo, et al. Slab imaging performance from-1 and its improvement[J]. Journal of Applied Optics, 2010,31(1):19-23. (in Chinese with an English abstract)
    [13]CATER W H. Focal shift and concept of effective Fresnel number for a Gaussian laser beam[J]. Appl.Opt.,1982,21(11):1989-1994.
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