Constructive theory of formation and filtering optical images and Fraunhofer diffraction patterns of 3D opaque objects of constant thickness in coherent light

Yuri V. Chugui

doi:10.1117/12.237487

10 April 1996 Constructive theory of formation and filtering optical images and Fraunhofer diffraction patterns of 3D opaque objects of constant thickness in coherent light

Yuri V. Chugui

Author Affiliations +

Proceedings Volume 2655, Three-Dimensional Microscopy: Image Acquisition and Processing III; (1996) https://doi.org/10.1117/12.237487
Event: Electronic Imaging: Science and Technology, 1996, San Jose, CA, United States

Abstract

Bases of constructive theory of formation in coherent light of the Fraunhofer diffraction (Fourier spectrum) patterns of the opaque 3D objects of constant thickness with flat internal surfaces are presented. Such theory is simple, physical obvious and at the same time sufficiently strict. It is based on the model of the equivalent diaphragms according to which the problem of light diffraction on volumetric bodies is reduced to the analysis of diffraction phenomena on the plane transparencies which are located in space. It permits to apply the standard Fourier-optical methods for the calculation in Kirchhoff-Fresnel approximation. This theory is developed and generalized for cases of formation and filtering the images and Fraunhofer diffraction patterns of the typical elements of extended bodies, including volumetric edge, 3D slit. Dependencies between the characteristic parameters of the diffraction patterns and geometrical dimensions of 3D slit are found on the basis of the behavior of the Fourier spectra of extended objects. Peculiarities of coherent optical processing of 3D objects are investigated in detail by the example of high-frequency filtering (contouring) of volumetric edge with absorbing, reflecting and grey inner surfaces.

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Yuri V. Chugui "Constructive theory of formation and filtering optical images and Fraunhofer diffraction patterns of 3D opaque objects of constant thickness in coherent light", Proc. SPIE 2655, Three-Dimensional Microscopy: Image Acquisition and Processing III, (10 April 1996); https://doi.org/10.1117/12.237487

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