中国物理B ›› 2014, Vol. 23 ›› Issue (10): 104215-104215.doi: 10.1088/1674-1056/23/10/104215

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

张娟a, 付文鹏a, 张荣军a, 王阳b   

  1. a Key Laboratory of Specialty Fiber Optics and Optical Access Networks, School of Communication andInformation 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
  • 收稿日期:2014-01-21 修回日期:2014-04-01 出版日期:2014-10-15 发布日期:2014-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10804070 and 61137002), the Key Program of the Science and Technology Commission of Shanghai, China (Grant No. 11jc1413300), and the Shanghai Leading Academic Discipline Project, China (Grant No. S30108).

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

Zhang Juan (张娟)a, Fu Wen-Peng (付文鹏)a, Zhang Rong-Jun (张荣军)a, Wang Yang (王阳)b   

  1. a Key Laboratory of Specialty Fiber Optics and Optical Access Networks, School of Communication andInformation 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
  • Received:2014-01-21 Revised:2014-04-01 Online:2014-10-15 Published:2014-10-15
  • Contact: Zhang Juan,Wang Yang E-mail:juanzhang@staff.shu.edu.cn;ywang@siom.ac.cn
  • About author:42.70.Qs; 42.25.Hz; 07.50.Qx
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10804070 and 61137002), the Key Program of the Science and Technology Commission of Shanghai, China (Grant No. 11jc1413300), and the Shanghai Leading Academic Discipline Project, China (Grant No. S30108).

摘要: 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.

关键词: one-dimensional photonic crystal, digital signal processing, Z-transform

Abstract: 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.

Key words: one-dimensional photonic crystal, digital signal processing, Z-transform

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
42.25.Hz (Interference) 07.50.Qx (Signal processing electronics)