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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1638–1640

Optimal apodizations for finite apertures

P. S. Carney and G. Gbur  »View Author Affiliations

JOSA A, Vol. 16, Issue 7, pp. 1638-1640 (1999)

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A method is presented for determining the aperture apodization functions needed to optimize any given product of powers of the even-order moments of the beam intensity in the near and far zones. The results are a generalization of previous work [Pure Appl. Opt. 7, 1221 (1998)] that dealt only with the far-zone moments. These methods are applied to the problem of optimizing the so-called beam propagation factor, MP2.

© 1999 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures

Original Manuscript: September 22, 1998
Revised Manuscript: February 8, 1999
Manuscript Accepted: February 8, 1999
Published: July 1, 1999

P. S. Carney and G. Gbur, "Optimal apodizations for finite apertures," J. Opt. Soc. Am. A 16, 1638-1640 (1999)

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  11. Equation (9) reduces to the differential equation found in Ref. 9 when νl=0 for all l.
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