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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
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| Cite this article: |
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HE Sai-Ling, QIU Min, Constantin R. Simovski 2000 Chin. Phys. Lett. 17 352-354 |
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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.
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| Keywords:
42.70.Qs
78.20.Bh
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Published: 01 May 2000
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| PACS: |
42.70.Qs
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(Photonic bandgap materials)
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78.20.Bh
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(Theory, models, and numerical simulation)
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