ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Photonic band structures of quadrangular multiconnected networks |
Song Huan-Huan(宋欢欢) and Yang Xiang-Bo(杨湘波)† |
MOE Key Laboratory of Laser Life Science & Institute of Laser Life Science, South China Normal University, Guangzhou 510631, China |
|
|
Abstract By means of the network equation and generalized dimensionless Floquet—Bloch theorem, this paper investigates the properties of the band number and width for quadrangular multiconnected networks (QMNs) with a different number of connected waveguide segments (NCWSs) and various matching ratio of waveguide length (MRWL). It is found that all photonic bands are wide bands when the MRWL is integer. If the integer attribute of MRWL is broken, narrow bands will be created from the wide band near the centre of band structure. For two-segment-connected networks and three-segment-connected networks, it obtains a series of formulae of the band number and width. On the other hand, it proposes a so-called concept of two-segment-connected quantum subsystem and uses it to discuss the complexity of the band structures of QMNs. Based on these formulae, one can dominate the number, width and position of photonic bands within designed frequencies by adjusting the NCWS and MRWL. There would be potential applications for designing optical switches, optical narrow-band filters, dense wavelength-division-multiplexing devices and other correlative waveguide network devices.
|
Received: 23 October 2009
Accepted manuscript online:
|
PACS:
|
42.70.Qs
|
(Photonic bandgap materials)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10974061) and the Program for Innovative Research Team of the Higher Education in Guangdong of China (Grant No. 06CXTD005). |
Cite this article:
Song Huan-Huan(宋欢欢) and Yang Xiang-Bo(杨湘波) Photonic band structures of quadrangular multiconnected networks 2010 Chin. Phys. B 19 074213
|
[1] |
%1 John S 1987 Phys. Rev. Lett. 58 2486
|
[2] |
%2 Yablovitch E 1987 Phys. Rev. Lett. 58 2059
|
[3] |
%3 Lin S Y, Chow E, Hietala V, Villeneuve P R and Joannopoulos J D 1998 Science 282 274
|
[4] |
%4 Noda S, Tomoda K, Yamamoto N and Chutinan A 2000 Science 289 604
|
[5] |
%5 Ogawa S, Imada M, Yoshimoto S, Okano M and Noda S 2004 Science 305 227
|
[6] |
%6 Vlasov Y A, O'Boyle M, Hamann H F and McNab S J 2005 Nature 438 65
|
[7] |
%7 Du X Y, Zheng W H, Zhang Y J, Ren G, Wang K, Xing M X and Cheng L H 2008 Acta Phys. Sin. 57 7005 (in Chinese)
|
[8] |
%8 Lin Z Q, Feng T H, Dai Q F, Wu L J and Lan S 2009 Chin. Phys. B 18 2383
|
[9] |
%9 Yablovitch E 1993 J. Opt. Soc. Am. B 10 283
|
[10] |
%10 Al-Wahsh H, El Boudouti E H, Djafari-Rouhani B, Akjouj A and Dobrzynski L 2007 Phys. Rev. B 75 125313
|
[11] |
%11 Cheng S S M, Li L M, Chan C T and Zhang Z Q 1999 Phys. Rev. B 59 4091
|
[12] |
%12 Chan T Y M and John S 2008 Phys. Rev. A 78 033812
|
[13] |
%13 McGurn A R 2000 Phys. Rev. B 61 13235
|
[14] |
%14 Kang X L, Li G and Li Y 2009 J. Opt. Soc. Am. B 26 60
|
[15] |
%15 Kocaman S, Chatterjee R, Panoiu N C, McMillan J F, Yu M B, Osgood R M, Kwong D L and Wong C W 2009 Phys. Rev. Lett. 102 203905
|
[16] |
%16 Schneider G J, Hanna S, Davis J L and Watson G H 2001 J. Appl. Phys. 90 2642
|
[17] |
%17 Noda S, Chutinan A and Imada M 2000 Nature 407 608
|
[18] |
%18 Apalkov V M 2008 J. Phys. Condens. Matter 20 275221
|
[19] |
%19 Zhang Z Q, Wong C C, Fung K K, Ho Y L, Chan W L, Kan S C, Chan T L and Cheung N 1998 Phys. Rev. Lett. 81 5540
|
[20] |
%20 Dobrzynski L, Akjouj A, Djafari-Rouhani B, Vasseur J O and Zemmouri J 1998 Phys. Rev. B 57 R9388
|
[21] |
%21 Cheung S K, Chan T L, Zhang Z Q and Chan C T 2004 Phys. Rev. B 70 125104
|
[22] |
%22 Wang Z Y and Yang X B 2007 Phys. Rev. B 76 235104
|
[23] |
%23 Mir A, Akjouj A, Vasseur J O, Djafari-Rouhani B, Fettouhi N, Boudouti E H El, Dobrzynski L and Zemmouri J 2003 J. Phys. Condens. Matter 15 1593
|
[24] |
%24 Stoytchev M and Genack A Z 1997 Phys. Rev. B 55 R8617
|
[25] |
%25 Bianucci P, Fietz C R, Robertson J W, Shvets G and Shih C K 2008 Phys. Rev. A 77 053816
|
[26] |
%26 Ak"ozbek N and John S 1998 Phys. Rev. E 58 3876
|
[27] |
%27 Zhang Z Q and Sheng P 1994 Phys. Rev. B 49 83 endfootnotesize
|
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
|
|
|