可实现宽角度全透明光学器件的设计方法
|
摘要
宽角度全透明光学界面的实现是提高复杂光学系统能量利用率和成像质量的关键.本文从麦克斯韦方程组和边界关系出发,推导光入射到各向异性介质时的菲涅耳公式,由此得到了光学界面上实现宽角度全透射的条件.在此基础上,理论设计了入射角在-85°～85°范围内实现全向透明的光学界面和器件.研究结果为实现光在不同介质间无损传播提供了一种新的理论思路.
The implementation of wide-angle ultra-transparent optical interfaces is the key to improve the optical energy utilization efficiency and the imaging quality in complicated optical systems. In this work,the Fresnel formulas of the interface between the isotropic medium and the anisotropic medium are deduced from Maxwell's equations and boundary conditions,and the conditions of wide-angle total transmission on the optical interface are then obtained. On this basis,a new device with the ultra-transparency is proposed at a wide angle range of [-85°,85°]. The results should provide a new theoretical approach for designing the novel optical devices with highly efficiency.
The implementation of wide-angle ultra-transparent optical interfaces is the key to improve the optical energy utilization efficiency and the imaging quality in complicated optical systems. In this work,the Fresnel formulas of the interface between the isotropic medium and the anisotropic medium are deduced from Maxwell's equations and boundary conditions,and the conditions of wide-angle total transmission on the optical interface are then obtained. On this basis,a new device with the ultra-transparency is proposed at a wide angle range of [-85°,85°]. The results should provide a new theoretical approach for designing the novel optical devices with highly efficiency.
引文
[1] Viktor G Veselago. The electrodynamics of substances withsimultaneously negative values ofεandμ[J]. Soviet Physics Uspekhi 1968,10(4):509-514.
[2] Shelby R A,Smith D R,Schultz S. Experimental Verification of a Negative Index of Refraction[J]. Science,2001,292(5514):77-79.
[3] Yao Z,Luo J,Lai Y. Photonic crystals with broadband,wide-angle,and polarization-insensitive transparency[J]. Optics Letters 2016,41(21):5106-5109.
[4] Arbabi A,Horie Y,Bagheri M,et al. Dielectric metasurfaces for complete control of phase and polarization withsubwavelength spatial resolution and high transmission[J].Nature Nanotechnology,2015,10(11):937-43.
[5] Wang Z N,Liu D H. A few points on omnidirectional band gaps in one-dimensional photonic crystals[J]. Applied Physics B:Lasers and Optics,2007, 86(3):473-476.
[6]郭硕鸿.电动力学[M]. 3版.北京:高等教育出版社,2008.
[7] Kee C S,Kim J E,Park H Y,et al. Essential parameter in the formation of photonic band gaps[J]. Phys Rev E,1999,59(4):4695-4698.
[8] Pendry. Negative refraction makes a perfect lens[J].Physical Review Letters,2000,85(18):3966-9.
[9] Luo J,Yang Y,Yao Z,et al. Ultratransparent Media and Transformation Optics with Shifted Spatial Dispersions[J]. Physical Review Letters,2016,117(22),223901.
[10] Smigaj W,Gralak B. Validity of the effective-medium approximation of photonic crystals[J]. Physical Review B,2008,77(23).
[11] Lawrence F,De Sterke C,Botten L,et al. Modeling Photonic Crystal Interfaces and Stacks:Impedance-based Approaches[J]. Advances in Optics and Photonics,2013,5(4):385-455.
[12]马中团,明海,王沛.负折射率物质理论及数值模拟研究[D],2006.
[13]博恩,沃尔夫,杨葭荪.光学原理[M].北京:电子工业出版社,2009.
[14]韩璐,王兆娜.推导广义的反射定律和折射定律的两种方法[J].大学物理,2013(03):49-52.
[15]乔唤兴.增透膜厚度的阻抗匹配法推导[J].大学物理,1991,10(5):16-18.
[2] Shelby R A,Smith D R,Schultz S. Experimental Verification of a Negative Index of Refraction[J]. Science,2001,292(5514):77-79.
[3] Yao Z,Luo J,Lai Y. Photonic crystals with broadband,wide-angle,and polarization-insensitive transparency[J]. Optics Letters 2016,41(21):5106-5109.
[4] Arbabi A,Horie Y,Bagheri M,et al. Dielectric metasurfaces for complete control of phase and polarization withsubwavelength spatial resolution and high transmission[J].Nature Nanotechnology,2015,10(11):937-43.
[5] Wang Z N,Liu D H. A few points on omnidirectional band gaps in one-dimensional photonic crystals[J]. Applied Physics B:Lasers and Optics,2007, 86(3):473-476.
[6]郭硕鸿.电动力学[M]. 3版.北京:高等教育出版社,2008.
[7] Kee C S,Kim J E,Park H Y,et al. Essential parameter in the formation of photonic band gaps[J]. Phys Rev E,1999,59(4):4695-4698.
[8] Pendry. Negative refraction makes a perfect lens[J].Physical Review Letters,2000,85(18):3966-9.
[9] Luo J,Yang Y,Yao Z,et al. Ultratransparent Media and Transformation Optics with Shifted Spatial Dispersions[J]. Physical Review Letters,2016,117(22),223901.
[10] Smigaj W,Gralak B. Validity of the effective-medium approximation of photonic crystals[J]. Physical Review B,2008,77(23).
[11] Lawrence F,De Sterke C,Botten L,et al. Modeling Photonic Crystal Interfaces and Stacks:Impedance-based Approaches[J]. Advances in Optics and Photonics,2013,5(4):385-455.
[12]马中团,明海,王沛.负折射率物质理论及数值模拟研究[D],2006.
[13]博恩,沃尔夫,杨葭荪.光学原理[M].北京:电子工业出版社,2009.
[14]韩璐,王兆娜.推导广义的反射定律和折射定律的两种方法[J].大学物理,2013(03):49-52.
[15]乔唤兴.增透膜厚度的阻抗匹配法推导[J].大学物理,1991,10(5):16-18.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |