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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 611–621

High-frequency filtered images of an optically thick edge

Yu. V. Chugui and V. A. Sokolov  »View Author Affiliations


JOSA A, Vol. 15, Issue 3, pp. 611-621 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000611


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Abstract

Peculiarities of high-frequency filtering (contouring) of images of symmetric thick (extended along the optical axis) edge are investigated in analytical form by the Kirchhoff–Fresnel approximation. They are based on a model of equivalent diaphragms (transparencies) earlier proposed by the authors [J. Opt. Soc. Am. 71, 483 (1981)]. Expressions for the fields in special cases of perfect absorption and reflection are derived. For the case of slight volumetric effects, a structure of the contoured images of the front and back faces is shown to be similar to a structure of the contoured image of the plane edge. But the influence of the extension causes a shift of the basic minimum position proportional to the size of the Fresnel zone. When volumetric effects are significant, the profile of the filtered image of the front face has a single maximum (instead of a double one). Here the structure of the filtered image of the back face depends to a great extent on the reflection properties of the inner surface, changing from the form with a double maximum to the form with a single one. There is agreement between theoretical and experimental results.

© 1998 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(100.6890) Image processing : Three-dimensional image processing
(110.2990) Imaging systems : Image formation theory

History
Original Manuscript: March 6, 1997
Revised Manuscript: October 20, 1997
Manuscript Accepted: August 18, 1997
Published: March 1, 1998

Citation
Yu. V. Chugui and V. A. Sokolov, "High-frequency filtered images of an optically thick edge," J. Opt. Soc. Am. A 15, 611-621 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-3-611

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