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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 8 — Apr. 21, 2014
  • pp: 8949–8961

Multipole and plane wave expansions of diverging and converging fields

Thanh Xuan Hoang, Xudong Chen, and Colin J. R. Sheppard  »View Author Affiliations


Optics Express, Vol. 22, Issue 8, pp. 8949-8961 (2014)
http://dx.doi.org/10.1364/OE.22.008949


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Abstract

This paper presents and compares two basis systems, spherical harmonics and plane waves, for studying diverging and converging beams in an optical system. We show a similarity between a converging field and the time reversed field of a radiation field. We present and analyze the differences between the Debye-Wolf diffraction integral and the multipole theory for focusing of polarized light. The Debye-Wolf diffraction integral gives a well-known anomalous behavior on the optical axis and at the edge of the focused beam that can be avoided by using the multipole theory.

© 2014 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(180.0180) Microscopy : Microscopy
(260.0260) Physical optics : Physical optics

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 20, 2014
Revised Manuscript: March 12, 2014
Manuscript Accepted: March 13, 2014
Published: April 7, 2014

Virtual Issues
Vol. 9, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Thanh Xuan Hoang, Xudong Chen, and Colin J. R. Sheppard, "Multipole and plane wave expansions of diverging and converging fields," Opt. Express 22, 8949-8961 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-8-8949


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