Study on Design Method of Planar Waveguide Concave Diffraction Gratings

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Study on Design Method of Planar Waveguide Concave Diffraction Gratings

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- Study on Design Method of Planar Waveguide Concave Diffraction Gratings
- Optics and Precision Engineering Vol. 16, Issue 6, Pages: 993-998(2008)
- 作者机构：
  
  北京信息科技大学光电学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：09 November 2007，
  
  Revised：07 January 2008，
  
  Published Online：25 June 2008，
  
  Published：25 June 2008
- 稿件说明：
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周哲海. 平板波导凹面衍射光栅设计方法研究[J]. 光学精密工程, 2008,16(6):993-998

Study on Design Method of Planar Waveguide Concave Diffraction Gratings[J]. Optics and precision engineering, 2008, 16(6): 993-998.
周哲海. 平板波导凹面衍射光栅设计方法研究[J]. 光学精密工程, 2008,16(6):993-998 DOI：

Study on Design Method of Planar Waveguide Concave Diffraction Gratings[J]. Optics and precision engineering, 2008, 16(6): 993-998. DOI：

摘要

提出了一种平板波导凹面衍射光栅的设计方法，即改进的刻槽位置递推计算方法。该方法是对原有刻槽位置递推计算方法的改进，利用该改进方法可实现平板波导凹面衍射光栅的精确设计，特别是一些特殊光栅结构的设计。光栅的刻槽位置可通过一组约束方程表示，利用递推方法可求得约束方程的数值解。为提高计算精度，在方程组的数值求解过程中引入牛顿迭代算法。设计了两种特殊的光栅结构，即平接收场结构和平顶频谱响应结构，模拟结果证明了采用该方法进行设计的必要性和有效性。

Abstract

A design method for planar waveguide concave diffraction gratings is presented in the paper

which is named Modified Recursive Definition of Facet Positions. The method is based on a modification of Recursive Definition of Facet Positions. We can design the planar waveguide concave diffraction gratings accurately by using this method

especially for some special grating structures. The central position of grating facets can be presented by two constraint functions

and its numerical solution is derived from a recursive formula approach. To improve the accuracy of computation

a Newton iteration procedure is introduced in the recursive approach while computing each facet position. Two typical design examples

a flat-filed mount and a flat-top mount

are given to assess the necessity of adopting Newton iteration procedure subsequently. The simulative results prove the modification is crucial for the accurate definition of grating facet position.

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