Development of a convection–diffusion–reaction model for solving Maxwell's equations in frequency domain |
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Authors: | Tony W H Sheu K C Lin J H Li |
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Institution: | 1. Department of Engineering Science and Ocean Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan;2. Taida Institute of Mathematical Science (TIMS), National Taiwan University, Taipei, Taiwan;3. Center for Quantum Science and Engineering (CQSE), National Taiwan University, Taipei, TaiwanProfessor. |
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Abstract: | We propose in this study a numerically accurate and computationally efficient convection–diffusion–reaction finite difference scheme to discretize the full‐vector and semi‐vector optical waveguide equations. The scheme formulated in a grid stencil of five nodal points for solving the three‐dimensional waveguide equations employs the locally analytic solution. In this three‐dimensional study, calculations were carried out for the investigation of wave propagation in diffused channel, rectangular and rib types of optical waveguide. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | convection– diffusion– reaction full‐vector semi‐vector waveguide equations |
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