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A Pseudospectral Time-Domain Algorithm for Calculating the Band
Structure of a Two-Dimensional Photonic Crystal |
HE Jiang-Ping;SHEN Lin-Fang;ZHANG Quan;HE Sai-Ling |
Center for Optical and Electromagnetic Research, State Key
Laboratory for Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027 |
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Cite this article: |
HE Jiang-Ping, SHEN Lin-Fang, ZHANG Quan et al 2002 Chin. Phys. Lett. 19 507-510 |
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Abstract A pseudospectral time-domain (PSTD) method is developed for
calculating the band structure of a two-dimensional photonic crystal. Maxwell's equations are rewritten in terms of period fields by using the Bloch theorem. Instead of spatial finite differences, the fast Fourier transform is used to calculate the spatial derivatives. To reach a similar accuracy, fewer sample points are required in the present PSTD method as compared to the conventional finite-difference-time-domain methods. Our numerical simulation shows that the present PSTD method is an efficient and accurate method for calculating the band structure of a photonic crystal.
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Keywords:
42.70.Qs
02.70.Hm
78.20.Bh
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Published: 01 April 2002
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PACS: |
42.70.Qs
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(Photonic bandgap materials)
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02.70.Hm
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(Spectral methods)
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78.20.Bh
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(Theory, models, and numerical simulation)
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