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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 11 — Nov. 1, 1980
  • pp: 1323–1328

Asymptotic representation of the boundary diffraction wave for a Gaussian beam incident on a circular aperture

Takashi Takenaka, Masao Kakeya, and Otozo Fukumitsu  »View Author Affiliations


JOSA, Vol. 70, Issue 11, pp. 1323-1328 (1980)
http://dx.doi.org/10.1364/JOSA.70.001323


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Abstract

The diffraction of a Gaussian beam normally incident on a circular aperture is investigated by using the boundary-diffraction-wave theory. With the help of the steepest-descent method, an asymptotic representation of the boundary diffraction wave is obtained. The diffracted field, which is the sum of the geometrical-optics component and the diffraction component, is shown to be continuous at the shadow boundary. The diffraction coefficient is compared with that used in Keller’s geometrical theory of diffraction for a plane wave. The error of the asymptotic approximation is also estimated.

© 1980 Optical Society of America

Citation
Takashi Takenaka, Masao Kakeya, and Otozo Fukumitsu, "Asymptotic representation of the boundary diffraction wave for a Gaussian beam incident on a circular aperture," J. Opt. Soc. Am. 70, 1323-1328 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-11-1323

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