用菲涅耳理论研究衍射光路可逆性

Reversibility of diffraction optical path by Fresnel theory

  • 摘要: 用菲涅耳衍射理论研究了光栅及双光栅成像系统衍射光路的可逆性。首先用菲涅耳衍射理论分析单片光栅衍射光的复振幅分布,根据其复振幅分布的相位关系研究其可逆性;再根据单片光栅衍射光路所具有的结论来分析双光栅衍射成像效应的衍射光路可逆性,得到了光栅衍射光路及双光栅成像系统光路具有部分可逆性;应用衍射光路的部分可逆性诠释了双光栅成像效应的本质及光栅的汇合光谱特性是色散光谱特性的逆效应,并根据衍射光路具有部分可逆性的特性实现了图像处理。

     

    Abstract: The reversibility of the diffraction optical path of grating and double-grating imaging systems was studied with Fresnel diffraction theory. Firstly, the complex amplitude distribution of the diffraction of single grating was analyzed. According to the phase relation of the complex amplitude distribution, the reversibility of optical path was studied. Then the reversibility of the double-grating diffraction imaging effect was analyzed by using the conclusion for the single optical diffraction grating. It-s found that the diffraction optical path of single grating and double-grating imaging systems has partial reversibility. Based on the partial reversibility of diffraction optical path, the nature of double-grating imaging effect was explained, the spectral combination characteristic was considered to be the reverse effect of the spectral dispersion characteristic, and the image processing was realized.

     

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