光学学报, 2013, 33 (6): 0616001, 网络出版: 2013-05-31   

各向异性晶体的平板负折射成像研究

Negative Refraction and Imaging Properties of Uniaxial Crystal Slabs
作者单位
郑州航空工业管理学院数理系, 河南 郑州 450015
摘要
利用折射率椭球理论研究了各向异性晶体的平板负折射成像。研究结果表明:单轴晶体的负折射现象是由晶体的光学各向异性所引起的,属于单轴晶体的本质特性;单轴晶体的切角和双折射率是产生负折射的关键因素;各向异性晶体在一定的前提条件下可以实现平板负折射二次成像。最后通过钒酸钇(YVO4)和方解石(CaCO3)晶体对这套理论进行了实验验证。
Abstract
Negative refraction and imaging properties of uniaxial crystal slabs are investigated by the refractive index ellipsoid analyses. It is found that the concept of negative refraction can be extended to be an intrinsic property of all uinaxial crystals. The negative refraction effect of uinaxial crystals is mainly due to the anisotropic refractive index. The angular range for incident light to yield negative refraction attains its maximum which only depends on the difference of two refractive indices and the orientation of the crystals with their optic axes at a certain angle to the normal of the light incoming surface. The negative refraction imaging of uniaxial crystal slabs is restricted within some special conditions. These conclusions are verified by the experiments on positive uniaxial crystal YVO4 and negative unaxial crystal CaCO3.
参考文献

[1] D. R. Smith, Willie J. Padilla, D. C. Vier et al.. A composite medium with simultaneously negative permeability and permittivity [J]. Phys. Rev. Lett., 2000, 84(18): 4184~4187

[2] R. Shelby, D. R. Smith, S. Schultz. Experimental verification of a negative index of refraction[J]. Science, 2001, 292(5514): 77~79

[3] P. M. Valanju, R. M. Walser, A. P. Valanju. Wave refraction in negative-index media: always positive and very inhomogeneous[J]. Phys. Rev. Lett., 2002, 88(18): 187401

[4] P. V. Parimi, W. T. Lu, P. Vodo et al.. Photonic crystals: imaging by flat lens using negative refraction [J]. Nature, 2003, 426(6965): 404~406

[5] A. Berrier, M. Mulot, M. Swillo et al.. Negative refraction at infrared wavelengths in a two-dimensional photonic crystal[J]. Phys. Rev. Lett., 2004, 93(7): 073902

[6] X. L. Chen, Ming He, Yinxiao Du et al.. Negative refraction: an intrinsic property of uniaxial crystals[J]. Phys. Rev. B, 2005, 72(11): 113111

[7] Y. Du, M. He, X. L. Chen et al.. Uniaxial crystal slabs as amphoteric-reflecting media[J]. Phys. Rev. B, 2006, 73(24): 245110

[8] M. I. Stockman. Criterion for negative refraction with low optical losses from a fundamental principle of causality [J]. Phys. Rev. Lett., 2007, 98(17): 177404

[9] Jason Valentine, Shuang Zhang, Thomas Zentgraf et al.. Three dimensional optical metamaterial exhibiting negative refractive index[J]. Nature, 2008, 455(7211): 376~379

[10] Jie Yao, Zhaowei Liu, Yongmin Liu et al.. Optical negative refraction in bulk metamaterials of nanowires [J]. Science, 2008, 321(5891): 930

[11] Tom G. Mackay, Akhlesh Lakhtakia. Negative refraction, negative phase velocity, and counterposition in bianisotropic materials and metamaterials[J]. Phys. Rev. B, 2009, 79(23): 235121

[12] Y. Gao, J. P. Huang, Y. M. Liu et al.. Optical negative refraction in ferrofluids with magnetocontrollability[J]. Phys. Rev. Lett., 2010, 104(3): 034501

[13] S. Kocaman, M. S. Aras, P. Hsieh et al.. Zero phase delay in negative-refractive-index photonic crystal superlattices [J]. Nature Photonics, 2011, 5(8): 499~505

[14] Stefano Palomba, Shuang Zhang, Yongshik Park et al.. Optical negative refraction by four-wave mixing in thin metallic nanostructures[J]. Nature Materials, 2012, 11(1): 34~38

[15] 易鹏, 项元江, 戴小玉 等. 含负折射介质的反向定向耦合器的时空不稳定性研究[J]. 光学学报, 2012, 32(4): 0419001

    Yi Peng, Xiang Yuanjiang, Dai Xiaoyu et al.. Spatiotemporal instabilities in nonlinear asymmetric oppositely directional coupler with a negative-index metamaterial channel[J]. Acta Optica Sinica, 2012, 32(4): 0419001

[16] V. G. Veselago. The electrodynamics of substances with simultaneously negative values of permittivity and permeability[J]. Sov. Phys. Usp., 1968, 10(4): 509~514

[17] J. B. Pendry. Negative refraction makes a perfect lens[J]. Phys. Rev. Lett., 2000, 85(18): 3966~3969

[18] J. B. Pendry. Positively negative[J]. Nature, 2003, 423(6935): 22~23

[19] D. R. Smith, J. B. Pendry, M. C. K. Wihshire. Metamaterials and negative refractive index[J]. Science, 2004, 305(5685): 788~792

[20] J. Pacheco, T. M. Grzegorczyk, B. I. Wu et al.. Power propagation in homogeneous isotropic frequency-dispersive left-handed media[J]. Phys. Rev. Lett., 2002, 89(25): 257401

[21] D. R. Smith, D. Schurig. Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors[J]. Phys. Rev. Lett., 2003, 90(7): 077405

[22] E. Cubukcu, K. Aydin, E. Ozbag et al.. Electromagmetic waves: negative refraction by photonic crystals[J]. Nature, 2003, 423(6940): 604~605

[23] J. Li, Lei Zhou, C. T. Chan et al.. Photonic band gap from a stack of positive and negative index materials[J]. Phys. Rev. Lett., 2003, 90(8): 083901

[24] R. Chatterjee, N. C. Panoiu, K. Liu et al.. Achieving subdiffraction imaging through bound surface states in negative refraction photonic crystals in the near-infrared range[J]. Phys. Rev. Lett., 2008, 100(18): 187401

[25] 侯尚林, 张书军, 黎锁平 等. 内包层为负折射率介质双包层光纤的传输特性的研究[J]. 光学学报, 2011, 31(5): 0506004

    Hou Shanglin, Zhang Shujun, Li Suoping et al.. Investigation on transmission characteristics of doubly cladding fiber with an inner cladding made of negative refractive-index material[J]. Acta Optica Sinica, 2011, 31(5): 0506004

[26] 黄振永. 左手材料的色散和等倾干涉[J]. 激光与光电子学进展, 2012, 49(9): 091602

    Huang Zhenyong. Dispersion and equal-inclination interference characteristics of left-handed materials[J]. Laser & Optoelectronics Progress, 2012, 49(9): 091602

[27] 董海霞, 董丽娟, 杨成全 等. 含单层负折射率缺陷的光子晶体的光学特性[J]. 中国激光, 2011, 38(10): 1006002

    Dong Haixia, Dong Lijuan, Yang Chengquan et al.. Optical properties of one-dimensional photonic crystal containing a single defect layer with negative refractive index[J]. Chinese J. Lasers, 2011, 38(10): 1006002

[28] Y. Zhang, B. Fluegel, A. Mascarenhas. Total negative refraction in real crystals for ballistic electrons and light[J]. Phys. Rev. Lett., 2003, 91(15): 157404

[29] Z. Liu, Z. Lin, S. T. Chui. Negative refraction and omnidirectional total transmission at a planar interface associated with a uniaxial medium[J]. Phys. Rev. B, 2004, 69(11): 115402

[30] 史宏声, 张戈, 沈鸿元. 钒酸钇晶体折射率和折射率温度系数的测定[J]. 人工晶体学报, 2001, 30(1): 85~88

    Shi Hongsheng, Zhang Ge, Shen Hongyuan. Measurement of principal refractive indices and the thermal refractive index coefficients of yttrium vanadate[J]. J. Synthetic Crystals, 2001, 30(1): 85~88

[31] 李红霞, 吴福全, 范吉阳. 冰洲石晶体色散方程解析研究及折射率温度系数表达式[J]. 应用光学, 2004, 25(5): 7~10

    Li Hongxia, Wu Fuquan, Fan Jiyang. Sellmeier coefficients for the refractive indices of calcite crystal at different temperatures[J]. J. Applied Optics, 2004, 25(5): 7~10

杜银霄, 张又林, 麻华丽, 袁庆新, 徐培. 各向异性晶体的平板负折射成像研究[J]. 光学学报, 2013, 33(6): 0616001. Du Yinxiao, Zhang Youlin, Ma Huali, Yuan Qingxin, Xu Pei. Negative Refraction and Imaging Properties of Uniaxial Crystal Slabs[J]. Acta Optica Sinica, 2013, 33(6): 0616001.

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