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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 13 — Jun. 20, 2011
  • pp: 12815–12824

Matrix calculus for axially symmetric polarized beam

Shigeki Matsuo  »View Author Affiliations

Optics Express, Vol. 19, Issue 13, pp. 12815-12824 (2011)

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The Jones calculus is a well known method for analyzing the polarization of a fully polarized beam. It deals with a beam having spatially homogeneous polarization. In recent years, axially symmetric polarized beams, where the polarization is not homogeneous in its cross section, have attracted great interest. In the present article, we show the formula for the rotation of beams and optical elements on the angularly variant term-added Jones calculus, which is required for analyzing axially symmetric beams. In addition, we introduce an extension of the Jones calculus: use of the polar coordinate basis. With this calculus, the representation of some angularly variant beams and optical elements are simplified and become intuitive. We show definitions, examples, and conversion formulas between different notations.

© 2011 OSA

OCIS Codes
(260.5430) Physical optics : Polarization
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

Original Manuscript: April 25, 2011
Revised Manuscript: June 5, 2011
Manuscript Accepted: June 6, 2011
Published: June 17, 2011

Shigeki Matsuo, "Matrix calculus for axially symmetric polarized beam," Opt. Express 19, 12815-12824 (2011)

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