## Free-space asymptotic far-field series

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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### References

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