An Analysis of Asymptotic Expansion for Modes in Diffused Optical Waveguides with a Gaussian Profile

Fan Jun-qing

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An Analysis of Asymptotic Expansion for Modes in Diffused Optical Waveguides with a Gaussian Profile

更新时间：2025-12-08

- An Analysis of Asymptotic Expansion for Modes in Diffused Optical Waveguides with a Gaussian Profile
- Acta Electronica Sinica Issue 6, Pages: 68-73(1983)
- 作者机构：
  
  中国科学院长春物理所
- 作者简介：
- 基金信息：
- DOI：
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- Published：1983
- 稿件说明：
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[1]范俊清.高斯分布扩散光波导模式的渐近展开分析[J].电子学报,1983(06):68-73.

Fan Jun-qing. An Analysis of Asymptotic Expansion for Modes in Diffused Optical Waveguides with a Gaussian Profile[J]. Acta Electronica Sinica, 1983, (6): 68-73.
[1]范俊清.高斯分布扩散光波导模式的渐近展开分析[J].电子学报,1983(06):68-73. DOI：

Fan Jun-qing. An Analysis of Asymptotic Expansion for Modes in Diffused Optical Waveguides with a Gaussian Profile[J]. Acta Electronica Sinica, 1983, (6): 68-73. DOI：

摘要

本文用适当的多项式函数近似扩散光波导的高斯折射率分布函数

推导了导模有效折射率的解析形式渐近解。给出了利用渐近解公式

由模有效折射率的测量值确定波导表面折射率和扩散深度的方法。实例说明

对模数较少的波导

这个方法比其它近似方法精确。

Abstract

The Gaussian index profile of a diffused optical waveguide is approximated by an appropriate polynomial

and the asymptotic solutions of the mode efficient index is derived in a analytical form. A method is given for determining the parameters of a diffused waveguide from the observable values of mode efficient index by using the asymptotic solution equations. For the waveguides with fewer modes （mode number≤3）

this method is more accurate.

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