| A Modified Beam Propagation Method Based on the Galerkin Method with Hermite-Gauss Basis Functions |
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| 作者姓名： | Xiao Jinbiao Cai Chun Liu Xu Fan Hehong Sun Xiaohan |
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| 作者单位： | Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210096 |
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| 摘 要： | 1IntroductionResearchin photonic integrated circuits(PICs)and planar lightwave circuits(PLCs)has becomeactive inrecent years.Analysis and simulation ofelectromagnetic wave propagation are essential foroptimizing designs of these circuits.Therefore,various simulation techniques have been studiedfor this purpose1].Among them,the beampropagation method(BPM)1,2],whichis capableof treating both guided as well as radiated modessimultaneously,is currently the most widely usedtool.To date,numero…
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| 关 键 词： | 电子束传播 光子学综合电路 平面光波电路 有限元分析 |
| 收稿时间： | 2006-02-27 |
A Modified Beam Propagation Method Based on the Galerkin Method with Hermite-Gauss Basis Functions |
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| Xiao Jinbiao,Cai Chun,Liu Xu,Fan Hehong,Sun Xiaohan.A Modified Beam Propagation Method Based on the Galerkin Method with Hermite-Gauss Basis Functions[J].Engineering Sciences,2006,4(4):97-101. |
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| Authors: | Xiao Jinbiao Cai Chun Liu Xu Fan Hehong and Sun Xiaohan |
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| Institution: | Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210096;Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210097;Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210098;Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210099;Lab of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210100 |
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| Abstract: | A beam propagation method based on the Galerkin method with Hermite-Gauss basis functions for studying optical field propagation in weakly guiding dielectric structures is described. The selected basis functions naturally satisfy the required boundary conditions at infinity so that the boundary truncation is avoided. The paraxial propagation equation is converted into a set of first-order ordinary differential equations, which are solved by means of standard numerical library routines. Besides, the calculation is efficient due to its small resulted matrix. The evolution of the injected field and its normalized power along the propagation distance in an asymmetric slab waveguide and directional coupler are presented, and the solutions are good agreement with those obtained by finite difference BPM, which tests the validity of the present approach. |
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| Keywords: | beam propagation method Galerkin method Hemite-Gauss function integrated optics |
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