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
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
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.
HE Sai-Ling;QIU Min;Constantin R. Simovski. Obtaining the Band Structure of a Two-Dimensional Photonic Crystal by an Averaged Field Approach[J]. 中国物理快报, 2000, 17(5): 352-354.
HE Sai-Ling, QIU Min, Constantin R. Simovski. Obtaining the Band Structure of a Two-Dimensional Photonic Crystal by an Averaged Field Approach. Chin. Phys. Lett., 2000, 17(5): 352-354.
2000, Vol. 17 
