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

doi:10.1088/1674-1056/23/10/104215

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

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

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/Abstract

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)

张娟, 付文鹏, 张荣军, 王阳. Description and reconstruction of one-dimensional photoniccrystal by digital signal processing theory[J]. 中国物理B, 2014, 23(10): 104215-104215.

Zhang Juan (张娟), Fu Wen-Peng (付文鹏), Zhang Rong-Jun (张荣军), Wang Yang (王阳). Description and reconstruction of one-dimensional photoniccrystal by digital signal processing theory[J]. Chin. Phys. B, 2014, 23(10): 104215-104215.

参考文献 0


[1]	Joannopoulos J D, Villeneuve P R and Fan S 1997 Nature 386 143 doi: 10.1038/386143a0

[2]	Winn J N, Fink Y, Fan S and Joannopoulos J D 1998 Opt. Lett. 23 1573 doi: 10.1364/OL.23.001573

[3]	Ozaki R, Matsui T, Ozaki M and Yoshino K 2003 Appl. Phys. Lett. 82 3593 doi: 10.1063/1.1577829

[4]	Hopman W C L, Pottier P, Yudistira D, van Lith J, Lambeck P V, De La Rue R M, Driessen A, Hoekstra H J W M and de Ridder R M 2005 IEEE J. Selec. Top. Quantum Electron. 11 11 doi: 10.1109/JSTQE.2004.841693

[5]	Chen P Z, Hou G F, Suo S, Ni J, Zhang J J, Zhang X D and Zhao Y 2014 Acta Phys. Sin. 63 077301 (in Chinese)

[6]	Fan W L and Dong L F 2013 Chin. Phys. B 22 014213

[7]	Fan C Z, Wang J Q, He J N, Ding P and Liang E J 2013 Chin. Phys. B 22 074211

[8]	Proakis J G and Manolakis D G 1996 Digital Signal Processing: Principles, Algorithm, and Applications, 3rd edn. (New Jersey: Printice Hall)

[9]	Zhang J and Yang X 2010 Opt. Express 18 5075 doi: 10.1364/OE.18.005075

[10]	Zhang J, Guo S and Li X 2012 Opt. Commun. 285 491 doi: 10.1016/j.optcom.2011.10.095

[11]	Madsen C K and Zhao J H 1996 Optical Filter Design and Analysis: A Signal Processing Approach (New York: John Wiley & Sons)

[12]	Cheng C H 2006 IEEE Signal Processing Magazine 23 88 doi: 10.1109/MSP.2006.1593341

[13]	Skaar J, Wang L and Erdogan T 2001 Appl. Opt. 40 2183 doi: 10.1364/AO.40.002183

[14]	Skaar J and Waagaard O H 2003 IEEE J. Quantum Electron. 39 1238 doi: 10.1109/JQE.2003.817581

[15]	Feced R, Zervas M N and Muriel M A 1999 IEEE J. Quantum Electron. 35 1105 doi: 10.1109/3.777209

[16]	Frolik J L and Yagle A E 1995 J. Lightwave Technol. 13 175 doi: 10.1109/50.365203

[17]	Bruckstein A M, Levy B C and Kailath T 1985 SIAM J. Appl. Math. 45 312 doi: 10.1137/0145017

[18]	Yagle A E and Levy B C 1986 J. Math. Phys. 27 1701 doi: 10.1063/1.527086

[19]	Ingle V K and Proakis J G 2011 Digital Signal Processing Using MATLAB, 3rd edn. (Stamford: Cengage Learning)

[20]	Graham P and Nelson B 1999 Reconfigurable Processors for Highperformance, Embedded Digital Signal Processing, in Field Programmable Logic and Applications, ed. Lysaght P, Irvine J and Hartenstein R (Berlin: Springer) pp. 1-10

[21]	Dowling E M and MacFarlane D L 1994 J. Lightwave Technol. 12 471 doi: 10.1109/50.285330

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

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

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 0

相关文章 2

Metrics

本文评价

推荐阅读 0

[1]	Zeng-Ping Su(苏增平), Tong-Tong Wei(魏彤彤), and Yue-Ke Wang(王跃科). Dual-channel tunable near-infrared absorption enhancement with graphene induced by coupled modes of topological interface states[J]. 中国物理B, 2022, 31(8): 87804-087804.
[2]	Juan Zhang(张娟), Zhengyong Ji(计正勇), Yipeng Ding(丁一鹏), and Yang Wang(王阳). Digital synthesis of programmable photonic integrated circuits[J]. 中国物理B, 2022, 31(2): 24208-024208.