## Helmholtz Hodge decomposition of scalar optical fields |

JOSA A, Vol. 29, Issue 11, pp. 2421-2427 (2012)

http://dx.doi.org/10.1364/JOSAA.29.002421

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### Abstract

It is shown that the vector field decomposition method, namely, the Helmholtz Hodge decomposition, can also be applied to analyze scalar optical fields that are ubiquitously present in interference and diffraction optics. A phase gradient field that depicts the propagation and Poynting vector directions can hence be separated into solenoidal and irrotational components.

© 2012 Optical Society of America

**OCIS Codes**

(260.0260) Physical optics : Physical optics

(260.2110) Physical optics : Electromagnetic optics

(350.0350) Other areas of optics : Other areas of optics

(350.4855) Other areas of optics : Optical tweezers or optical manipulation

(260.6042) Physical optics : Singular optics

**ToC Category:**

Optical Tweezers or Optical Manipulation

**History**

Original Manuscript: July 27, 2012

Manuscript Accepted: September 13, 2012

Published: October 22, 2012

**Virtual Issues**

Vol. 7, Iss. 12 *Virtual Journal for Biomedical Optics*

**Citation**

Monika Bahl and P. Senthilkumaran, "Helmholtz Hodge decomposition of scalar optical fields," J. Opt. Soc. Am. A **29**, 2421-2427 (2012)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-29-11-2421

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