Chin. Phys. Lett.  2000, Vol. 17 Issue (5): 352-354    DOI:
Original Articles |
Obtaining the Band Structure of a Two-Dimensional Photonic Crystal by an Averaged Field Approach
HE Sai-Ling1;QIU Min2;Constantin R. Simovski3
1State Key Laboratory of Modern Optical Instrumentation, Center for Optical and Electromagnetic Research,Zhejiang University, Hangzhou 310027 2Department of Electromagnetic Theory, Royal Institute of Technology, S-I00 44 Stockholm, Sweden 3Department of Physics, State Institute of Fine Mechanics and Optics, 197101 St-Petersburg, Russia
Cite this article:   
HE Sai-Ling, QIU Min, Constantin R. Simovski 2000 Chin. Phys. Lett. 17 352-354
Download: PDF(197KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract An averaged field approach is suggested for obtaining the band structure of a photonic crystal when the dimension of the inclusions is much smaller compared with the longest period of the rectangular lattice of the photonic crystal. The method is illustrated for the H-polarization of the 2-dimensional case. The band structure is obtained in an explicit and simple way The method is verified numerically by comparing with the conventional plane-wave expansion method.

Keywords: 42.70.Qs      78.20.Bh     
Published: 01 May 2000
PACS:  42.70.Qs (Photonic bandgap materials)  
  78.20.Bh (Theory, models, and numerical simulation)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2000/V17/I5/0352
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
HE Sai-Ling
QIU Min
Constantin R. Simovski
Related articles from Frontiers Journals
[1] ZHOU Hai-Chun, YANG Guang, WANG Kai, LONG Hua, LU Pei-Xiang. Coupled Optical Tamm States in a Planar Dielectric Mirror Structure Containing a Thin Metal Film[J]. Chin. Phys. Lett., 2012, 29(6): 352-354
[2] ZHOU Yan, YIN Li-Qun. Self-Detection of Leaking Pipes by One-Dimensional Photonic Crystals[J]. Chin. Phys. Lett., 2012, 29(6): 352-354
[3] ZHANG Li-Wei, ZHANG Ye-Wen, HE Li, WANG You-Zhen. Experimental Study of Tunneling modes in Photonic Crystal Heterostructure Consisting of Single-Negative Materials[J]. Chin. Phys. Lett., 2012, 29(6): 352-354
[4] HAN Ying,**,HOU Lan-Tian,ZHOU Gui-Yao,YUAN Jin-Hui,XIA Chang-Ming,WANG Wei,WANG Chao,HOU Zhi-Yun,. Flat Supercontinuum Generation within the Telecommunication Wave Bands in a Photonic Crystal Fiber with Central Holes[J]. Chin. Phys. Lett., 2012, 29(5): 352-354
[5] LI Heng,SHENG Chuan-Xiang**,CHEN Qian. Optical Bistability in Ag/Dielectric Multilayers[J]. Chin. Phys. Lett., 2012, 29(5): 352-354
[6] DU Ming-Di,SUN Jun-Qiang**,CHENG Wen-Long. THz Output Improvement in a Photomixer with a Resonant-Cavity-Enhanced Structure[J]. Chin. Phys. Lett., 2012, 29(4): 352-354
[7] YAO Jie,YE Yong-Hong**. Super-Resolution Imaging by using a Metallic Rod Array in the Near Infrared Region[J]. Chin. Phys. Lett., 2012, 29(4): 352-354
[8] LI Cheng-Guo, GAO Yong-Hao, XU Xing-Sheng. Angular Tolerance Enhancement in Guided-Mode Resonance Filters with a Photonic Crystal Slab[J]. Chin. Phys. Lett., 2012, 29(3): 352-354
[9] WU Hong, JIANG Li-Yong, JIA Wei, LI Xiang-Yin. Polarization Beam Splitter Based on an Annular Photonic Crystal of Negative Refraction[J]. Chin. Phys. Lett., 2012, 29(3): 352-354
[10] WU Ya-Min, CHEN Guo-Qing, MA Chao-Qun, XUE Si-Zhong, ZHU Zhuo-Wei. Optical Bistability in Graded Core-Shell Granular Composites[J]. Chin. Phys. Lett., 2012, 29(3): 352-354
[11] MA Jian-Yong, FAN Yong-Tao. Guided Mode Resonance Transmission Filters Working at the Intersection Region of the First and Second Leaky Modes[J]. Chin. Phys. Lett., 2012, 29(2): 352-354
[12] FU Xiao-Jian, XU Yuan-Da, ZHOU Ji. Abnormal Dielectric Response in an Optical Range Based on Electronic Transition in Rare-Earth-Ion-Doped Crystals[J]. Chin. Phys. Lett., 2012, 29(2): 352-354
[13] HAN Ying, **, HOU Lan-Tian, YUAN Jin-Hui, XIA Chang-Ming, ZHOU Gui-Yao,. Ultraviolet Continuum Generation in the Fundamental Mode of Photonic Crystal Fibers[J]. Chin. Phys. Lett., 2012, 29(1): 352-354
[14] CHEN Xi-Yao**, LIN Gui-Min, LI Jun-Jun, XU Xiao-Fu, JIANG Jun-Zhen, QIANG Ze-Xuan, QIU Yi-Shen, LI Hui. Polarization Beam Splitter Based on a Self-Collimation Michelson Interferometer in a Silicon Photonic Crystal[J]. Chin. Phys. Lett., 2012, 29(1): 352-354
[15] ZHANG Jin-Su, ZHONG Hai-Yang, SUN Jia-Shi, CHENG Li-Hong, LI Xiang-Ping, CHEN Bao-Jiu**. Reddish Orange Long-Lasting Phosphorescence in KY3F10:Sm3+ for X-Ray or Cathode Ray Tubes[J]. Chin. Phys. Lett., 2012, 29(1): 352-354
Viewed
Full text


Abstract