Description and reconstruction of one-dimensional photonic crystal by digital signal processing theory

A method of describing one-dimensional photonic crystals （1DPCs） based on Z-domain digital signal processing theory is presented. The analytical expression of the target band gap spectrum in the digital domain is obtained by the autocorrelation of its impulse response. The feasibility of this method...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 23; no. 10; pp. 200 - 204
Main Author 张娟 付文鹏 张荣军 王阳
Format Journal Article
LanguageEnglish
Published 01.10.2014
Subjects
Autocorrelation
Band spectra
Banded structure
Digital signal processing
Exact solutions
Feasibility
Mathematical analysis
PC结构
Photonic crystals
Photonics
一维光子晶体
传递矩阵法
信号处理理论
光子带隙
数字信号处理
脉冲响应
解析表达式
Online AccessGet full text

Cover

More Information
Summary:A method of describing one-dimensional photonic crystals （1DPCs） based on Z-domain digital signal processing theory is presented. The analytical expression of the target band gap spectrum in the digital domain is obtained by the autocorrelation of its impulse response. The feasibility of this method is verified by reconstructing two simple 1DPC structures with a target photonic band gap obtained by the traditional transfer matrix method. This method provides an effective approach to function-guided designs of interference-based band gap structures for photonic applications.
Bibliography:one-dimensional photonic crystal, digital signal processing, Z-transform
A method of describing one-dimensional photonic crystals （1DPCs） based on Z-domain digital signal processing theory is presented. The analytical expression of the target band gap spectrum in the digital domain is obtained by the autocorrelation of its impulse response. The feasibility of this method is verified by reconstructing two simple 1DPC structures with a target photonic band gap obtained by the traditional transfer matrix method. This method provides an effective approach to function-guided designs of interference-based band gap structures for photonic applications.
11-5639/O4
Zhang Juan, Fu Wen-Peng, Zhang Rong-Jun, and Wang Yang（ a） Key Laboratory of Specialty Fiber Optics and Optical Access Networks, School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China b） Key Laboratory of High Power Laser Materials, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/10/104215