Effective-medium theory for one-dimensional gratings

Shiwei Tang, Baocheng Zhu, Min Jia, Qiong He, Shulin Sun, Yongfeng Mei, and Lei Zhou

Phys. Rev. B 91, 174201 – Published 22 May 2015

Abstract

Based on a mode-expansion theory under single-mode approximation, we derived the scatterings parameters for a general one-dimensional photonic grating composed of two different materials, and then established an effective-medium theory for such a composite by equating the obtained scattering parameters to those of a homogeneous medium. Our effective-medium theory well describes the grating structures with general material and geometrical parameters, and recovers two previous formulas, which are valid only at certain limiting conditions. The theory is justified by full-wave simulations and microwave experiments.

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Received 3 December 2014
Revised 4 May 2015

DOI:https://doi.org/10.1103/PhysRevB.91.174201

Authors & Affiliations

Shiwei Tang¹, Baocheng Zhu¹, Min Jia¹, Qiong He^1,2, Shulin Sun³, Yongfeng Mei⁴, and Lei Zhou^1,2,*

¹State Key Laboratory of Surface Physics and Key Laboratory of Micro and Nano Photonic Structures (Ministry of Education), Fudan University, Shanghai 200433, China
²Collaborative Innovation Center of Advanced Microstructures, Fudan University, Shanghai 200433, China
³Department of Optical Science and Engineering, and Shanghai Ultra-Precision Optical Manufacturing Engineering Center, Fudan University, Shanghai 200433, China
⁴Department of Materials Science, Fudan University, Shanghai 200433, China

^*Corresponding author: phzhou@fudan.edu.cn

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Vol. 91, Iss. 17 — 1 May 2015

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