| 求解非均匀平面波导导模的一种新方法 |
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| 引用本文： | 佘守宪,谢峰潮.求解非均匀平面波导导模的一种新方法[J].量子电子学报,1992(2). |
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| 作者姓名： | 佘守宪 谢峰潮 |
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| 作者单位： | 北方交通大学物理系，北方交通大学物理系 北京，100044，北京，100044 |
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| 摘 要： | 本文给出一种新方法,用多层平板波导逼近非均匀平面波导,借助递推公式用牛顿切线法求解本征值方程,以求出非均匀平面波导导模的传播常数与模场分布。本方法优点在于程序简短通用,计算工作量小,求得结果与精确数值解十分吻合(直至近截止区)。本文给出了各种类型的非对称与对称渐变折射率平面波导的结果。
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| 关 键 词： | 光波导 渐变折射率平面波导 |
A New Method for Guided Modes of Graded-Index Planar Waveguides |
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| She Shouxian,Xie Fengchao.A New Method for Guided Modes of Graded-Index Planar Waveguides[J].Chinese Journal of Quantum Electronics,1992(2). |
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| Authors: | She Shouxian Xie Fengchao |
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| Affiliation: | She Shouxian,Xie Fengchao Department of Physics,Northern Jiaotong University,Beijing,100044 |
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| Abstract: | We present a new method for calculations of guided modes in graded--indexplanar waveguides. In this method, graded--index planar waveguides are approxi-mated by multi--layer homogeneous waveguides, and the eigenvalue equation issolved by means of recursion formulas and Newton--Ralph method for solvingtranscendental equations. Excellent agreement with exact analytical or numericalmethods is achieved up to near cut--off for strongly asymmetric and symmetricprofile planar waveguides. Numerical results are given for various cases. |
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| Keywords: | optical waveguide graded--index planar waveguides |
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