| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
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 |
|
|
|
|
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.
|
Received: 21 January 2014
Revised: 01 April 2014
Accepted manuscript online:
|
|
PACS:
|
42.70.Qs
|
(Photonic bandgap materials)
|
| |
42.25.Hz
|
(Interference)
|
| |
07.50.Qx
|
(Signal processing electronics)
|
|
| Fund: 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). |
Corresponding Authors:
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 |
Cite this article:
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 2014 Chin. Phys. B 23 104215
|
|
| | [1] | Joannopoulos J D, Villeneuve P R and Fan S 1997 Nature 386 143
|
|
| | [2] | Winn J N, Fink Y, Fan S and Joannopoulos J D 1998 Opt. Lett. 23 1573
|
|
| | [3] | Ozaki R, Matsui T, Ozaki M and Yoshino K 2003 Appl. Phys. Lett. 82 3593
|
|
| | [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
|
|
| | [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
|
|
| | [10] | Zhang J, Guo S and Li X 2012 Opt. Commun. 285 491
|
|
| | [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
|
|
| | [13] | Skaar J, Wang L and Erdogan T 2001 Appl. Opt. 40 2183
|
|
| | [14] | Skaar J and Waagaard O H 2003 IEEE J. Quantum Electron. 39 1238
|
|
| | [15] | Feced R, Zervas M N and Muriel M A 1999 IEEE J. Quantum Electron. 35 1105
|
|
| | [16] | Frolik J L and Yagle A E 1995 J. Lightwave Technol. 13 175
|
|
| | [17] | Bruckstein A M, Levy B C and Kailath T 1985 SIAM J. Appl. Math. 45 312
|
|
| | [18] | Yagle A E and Levy B C 1986 J. Math. Phys. 27 1701
|
|
| | [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
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
