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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 4 — Apr. 1, 1983
  • pp: 446–450

Boundary diffraction of an inhomogeneous wave

Pierre-A. Belanger and Marc Couture  »View Author Affiliations

JOSA, Vol. 73, Issue 4, pp. 446-450 (1983)

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An exact decomposition of the diffracted field into a direct wave and a boundary diffraction wave is obtained for an incident inhomogeneous wave, namely, the complex-source-point spherical wave. Our result, in the paraxial approximation, is consistent with already published results on the diffraction of a Gaussian beam.

© 1983 Optical Society of America

Pierre-A. Belanger and Marc Couture, "Boundary diffraction of an inhomogeneous wave," J. Opt. Soc. Am. 73, 446-450 (1983)

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  13. z0 is the Rayleigh range πW02/λ of the corresponding paraxial Gaussian beam of beam waist W0.
  14. The case in which the plane of the aperture is on the left-hand side of the plane z = 0 could also be analyzed in a way similar to that for a regular converging spherical wave.
  15. Note that, in order that Eqs. (3.4) and (3.5) be satisfied, a must always be smaller than z0.

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