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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 4 — Apr. 1, 1981
  • pp: 483–489

Quasi-geometrical method for Fraunhofer diffraction calculations for three-dimensional bodies

Yu. V. Chugui, V. P. Koronkevitch, B. E. Krivenkov, and S. V. Mikhlyaev  »View Author Affiliations

JOSA, Vol. 71, Issue 4, pp. 483-489 (1981)

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The possibility of applying an ordinary quasi-geometrical technique for Fraunhofer diffraction calculations on absolutely absorbing three-dimensional (3-D) bodies of constant thickness is investigated. It is shown that such an application can lead to results that are inadequate for finding the physical diffraction pattern of 3-D bodies. A modified version of the technique is suggested that, to a greater degree, takes into account secondary diffraction and thus permits a more exact presentation of characteristic features of the light diffracted by 3-D bodies. Some examples of this approach applied to the light-diffraction analysis of simple 3-D bodies are given. It is shown experimentally and with calculations that this approach permits description of the diffraction effects of 3-D bodies of the class mentioned in rather simple form and with good accuracy.

© 1981 Optical Society of America

Yu. V. Chugui, V. P. Koronkevitch, B. E. Krivenkov, and S. V. Mikhlyaev, "Quasi-geometrical method for Fraunhofer diffraction calculations for three-dimensional bodies," J. Opt. Soc. Am. 71, 483-489 (1981)

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  1. R. M. Bytchkov, V. P. Koronkevitch, and Yu. V. Chugui, "Threaded article parameter measurement by spatial spectra anaylsis," Appl. Opt. 18, 197–200 (1979).
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  11. It is obvious that the quasi-geometric approach application is right when a true Fresnel image of the back face reduced to the input plane differs only slightly from the initial one g(x0). For this it is necessary that the Fresnel zone size ε =√λd be much less than the characteristic size D of the binary function g(x0), i.e., D≫ √λ d.

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