Improved fourier transform based optical system frequency domain information passing performance analysis method

Abstract

The invention discloses an improved fourier transform based optical system frequency domain information passing performance analysis method and belongs to the technical field of fourier optics and optical system imaging performance analysis. The improved fourier transform based optical system frequency domain information passing performance analysis method comprises a first step, solving of an expression of the improved fourier transform and coefficients of light intensity harmonic waves at different levels; a second step, solving of an imaging integral equation of the optical system and a frequency domain channel matrix; a third step, calculation of optical system information passing performance parameters and evaluation of the optical system information passing performance according to the information parameters. According to the improved fourier transform based optical system frequency domain information passing performance analysis method, the light intensity is unfolded to be zero frequency to be combined with non-negative light intensity harmonic waves with energy in a linear mode, an optical system imaging rule under the novel light intensity unfolding method is analyzed, and then the optical system information passing performance is analyzed through an analytical method of an application information theory, the fourier optical analysis method is improved, the fourier optical theory is improved, and combination of an optical analysis method and an information theory analysis method is achieved.

Description

technical field [0001] The invention belongs to the technical field of Fourier optics and optical system imaging performance analysis, and relates to an optical system imaging performance analysis method based on improved Fourier transform and information theory. Background technique [0002] Modulation transfer function (MTF) is an important indicator commonly used in the field of optical system design, imaging quality analysis and optical detection. related theories. The MTF of the imaging optical system can be obtained by normalizing the point spread function of the light intensity after Fourier transform. It is completely correct to analyze it purely from the perspective of the optical system. [0003] In the imaging analysis process, the mode of the light intensity spectrum of the image can be obtained by multiplying the mode of the light intensity spectrum of the object and the MTF. For this reason, it is necessary to perform Fourier analysis on the spatial light int...

AI Technical Summary

Problems solved by technology

The Fourier optical analysis method expands the spatial light distribution of the object into a linear combination of zero-frequency and energy-free sine and cosine oscillatory waves, which is theoretically valid, but when applying information theory methods to analyze the information transfer laws and MTF of optical systems Difficulties encountered in theoretical interpretation of test experiments

Since the sine and cosine oscillating waves do not have energy and do not satisfy non-negativity, they cannot express light intensity and thus cannot express information; the transmittance of the cosine grating used in the MTF test experiment is greater than or equal to zero, and the transmitted light intensity is non-negative. Negative, the light intensity of the obtained cosine grating image is also non-negative, and the theory of Fourier optics cannot explain this problem accurately

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