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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2410–2417

Free-space asymptotic far-field series

Riccardo Borghi and Miguel A. Alonso  »View Author Affiliations


JOSA A, Vol. 26, Issue 11, pp. 2410-2417 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002410


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Abstract

A systematic procedure for deriving the complete asymptotic series in inverse powers of the distance from the origin of free-space 2D and 3D, scalar and vectorial, monochromatic electromagnetic fields is derived here. Each term of the series is expressed in closed form through the use of a differential operator acting on the angular spectrum. A simple recursive routine for computing the derivatives is provided. Examples of application are also given.

© 2009 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: June 24, 2009
Manuscript Accepted: September 9, 2009
Published: October 19, 2009

Citation
Riccardo Borghi and Miguel A. Alonso, "Free-space asymptotic far-field series," J. Opt. Soc. Am. A 26, 2410-2417 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-11-2410

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