OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

View Full Text Article

Enhanced HTML    Acrobat PDF (361 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

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)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1964).
  2. H. Honl, M. Maue, K. Westphahl, Theorie der Beuding, (Springer-Verlag, Berlin, 1961).
  3. V. A. Borovikov, B. E. Kinber, Geometricheskaya Teoriya Diffraktsii (Geometrical Diffraction Theory) (Svyaz, Moscow, 1978).
  4. Yu. V. Chugui, V. P. Koronkevich, B. E. Krivenkov, S. V. Mikhlyaev, “Quasi-geometrical method for Fraunhofer diffraction calculation for three-dimensional bodies,” J. Opt. Soc. Am. 71, 483–489 (1981). [CrossRef]
  5. Yu. V. Chugui, B. E. Krivenkov, “Fraunhofer diffraction by volumetric bodies of constant thickness,” J. Opt. Soc. Am. A 6, 617–626 (1989). [CrossRef]
  6. Yu. V. Chugui, B. E. Krivenkov, “Fraunhofer diffraction by reflecting volumetric bodies of constant thickness,” Optoelectron. Instrum. Data Process. 4, 113–118 (1991).
  7. K. G. Birch, “A spatial frequency filter to remove zero frequency,” Opt. Acta 15, 113–127 (1968).
  8. S. V. Gupta, D. Sen, “Diffrimoscopic image formation under partially coherent illumination (straight edge),” Opt. Acta 18, 507–521 (1971). [CrossRef]
  9. P. J. S. Hutzler, “Spatial frequency filtering and its application to microscopy,” Appl. Opt. 16, 2264–2272 (1977). [CrossRef] [PubMed]
  10. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
  11. Yu. V. Chugui, B. E. Krivenkov, “Investigation of two-dimensional binary edge contouring of opaque objects,” Opt. Acta 28, 157–167 (1981). [CrossRef]
  12. M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1964).
  13. A. Vašiček, Optics of Thin Films (North-Holland, Amsterdam, 1960).
  14. G. D. Dew, “The application of spatial filtering techniques to profile inspection and an associated interference phenomenon,” Opt. Acta 17, 237–257 (1970). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited