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改进的傅里叶变换在Rugate滤光片设计中的应用
引用本文:程鑫彬,范滨,王占山,陈玲燕.改进的傅里叶变换在Rugate滤光片设计中的应用[J].光学仪器,2008,30(5):69-74.
作者姓名:程鑫彬  范滨  王占山  陈玲燕
作者单位:1. 同济大学,精密光学工程技术研究所,上海,200092;株式会社光驰,竹野,350-0801
2. 株式会社光驰,竹野,350-0801
3. 同济大学,精密光学工程技术研究所,上海,200092
摘    要:傅里叶变换是设计Rugate滤光片最有效的解析方法之一。然而这种解析方法内在的近似性导致了设计结果与目标结果总是存在着一定的偏差。现提出一种改进的傅里叶变换方法,提高设计结果与目标结果的逼真度。将光谱函数的模与位相作为两个独立的变量分别优化。可以在有效控制折射率范围的情况下,设计出与目标结果一致的光谱曲线。

关 键 词:Rugate滤光片  傅里叶变换  迭代  位相

Rugate filters synthesis with modified Fourier transform method
CHENG Xinbin,FAN Bin,WANG Zhanshan,CHEN Lingyan.Rugate filters synthesis with modified Fourier transform method[J].Optical Instruments,2008,30(5):69-74.
Authors:CHENG Xinbin  FAN Bin  WANG Zhanshan  CHEN Lingyan
Abstract:Fourier transform synthesis is a powerful method to synthesize the Rugate filters.However,the resulting spectra are always approximated due to several errors inherent to the Fourier transform method.A modified Fourier transform synthesis method is proposed with which the reflectance spectra can be accurately synthesized.The magnitude and phase of the spectral function are optimized separately.We show with a number of examples that,with the proposed method,it is possible to synthesize gradient-index optical filters with almost any desired spectral performance using experimentally realizable refractive indices.
Keywords:Rugate filters  Fourier transform  iteration  phase
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