2008Nanjing Xiaozhuang Xueyuan xuebaoRequires access

Numerical Simulation of Fresnel Diffraction by a Square Aperture with Grating Structure

HE Long-qing

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Abstract

The intensity distribution of the Fresnel diffraction field for square aperture with grating structure is analyzed and simulated by a numerical method.An algorithm of numerical calculations of Fresnel diffraction by a square aperture with grating structure is presented along with the corresponding MATLAB programs and simulations.The results indicate that the Fresnel diffraction pattern of a square aperture with sinusoidal amplitude grating structure is an image of grating with features of diffraction by square aperture,and the image definition is decided by Fresnel number and the number of spatial periods of the grating contained in the aperture.Similar to the Fresnel diffraction by a boundless sinusoidal amplitude grating,the image has twice the frequency that the original grating does and has reduced the contrast when certain conditions are satisfied.

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What this paper is about

The intensity distribution of the Fresnel diffraction field for square aperture with grating structure is analyzed and simulated by a numerical method.An algorithm of numerical calculations of Fresnel diffraction by a square aperture with grating structure is presented along with the corresponding MATLAB programs and simulations.The results indicate that the Fresnel diffraction pattern of a square aperture with sinusoidal amplitude grating structure is an image of grating with features of diffraction by square aperture,and the image definition is decided by Fresnel number and the number of spatial periods of the grating contained in the aperture.Similar to the Fresnel diffraction by a boundless sinusoidal amplitude grating,the image has twice the frequency that the original grating does and has reduced the contrast when certain conditions are satisfied.

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Available abstract

The intensity distribution of the Fresnel diffraction field for square aperture with grating structure is analyzed and simulated by a numerical method.An algorithm of numerical calculations of Fresnel diffraction by a square aperture with grating structure is presented along with the corresponding MATLAB programs and simulations.The results indicate that the Fresnel diffraction pattern of a square aperture with sinusoidal amplitude grating structure is an image of grating with features of diffraction by square aperture,and the image definition is decided by Fresnel number and the number of spatial periods of the grating contained in the aperture.Similar to the Fresnel diffraction by a boundless sinusoidal amplitude grating,the image has twice the frequency that the original grating does and has reduced the contrast when certain conditions are satisfied.

Key concepts: Fresnel diffraction, Diffraction, Grating, Optics, Fresnel integral, Fresnel number, Aperture (computer memory), Blazed grating

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