Maxwell's fish-eye lenses under Schwartz-Christoffel mappings

被引：14
|
作者：
Tao, Sicen [1 ,2 ]
Zhou, Yangyang [1 ,2 ]
Chen, Huanyang [1 ,2 ]
机构：
[1] Xiamen Univ, Inst Electromagnet & Acoust, Xiamen 361005, Peoples R China
[2] Xiamen Univ, Dept Elect Sci, Xiamen 361005, Peoples R China
来源：
PHYSICAL REVIEW A | 2019年 / 99卷 / 01期
基金：
中国国家自然科学基金;
关键词：
TRANSFORMATION; COMPRESSION;
D O I：
10.1103/PhysRevA.99.013837
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we designed Maxwell's fish-eye lens in a square shape from a conformal mapping and constructed it into a waveguide and a photonic crystal. We studied the unidirectional self-imaging effect from both geometric optics and wave optics. Ray tracing and full-wave simulations were performed to validate this effect. Specifically, the designed waveguide is of a finite width while having the same imaging properties as the ideal infinite waveguide-the Mikaelian lens, the refractive index profile of which is 1/cosh (x) [Mikaelian and Prokhorov, Prog. Opt. 17, 279 (1980)].
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页数：5
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