## Modulation of spectral intensity, polarization and coherence of a stochastic electromagnetic beam |

Optics Express, Vol. 19, Issue 9, pp. 8700-8714 (2011)

http://dx.doi.org/10.1364/OE.19.008700

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### Abstract

Analytical formula for the cross-spectral density matrix of a stochastic electromagnetic Gaussian Schell-model (EGSM) beam truncated by a circular phase aperture propagating in free space is derived with the help of a tensor method, which provides a reliable and fast way for studying the propagation and transformation of a truncated EGSM beam. Statistics properties, such as the spectral intensity, the degree of coherence, the degree of polarization and the polarization ellipse of a truncated EGSM beam in free space are studied numerically. The propagation factor of a truncated EGSM beam is also analyzed. Our numerical results show that we can modulate the spectral intensity, the polarization, the coherence and the propagation factor of an EGSM beam by a circular phase aperture. It is found that the phase aperture can be used to shape the beam profile of an EGSM beam and generate electromagnetic partially coherent dark hollow or flat-topped beam, which is useful in some applications, such as optical trapping, material processing, free-space optical communications.

© 2011 OSA

**OCIS Codes**

(030.0030) Coherence and statistical optics : Coherence and statistical optics

(050.1220) Diffraction and gratings : Apertures

(140.3300) Lasers and laser optics : Laser beam shaping

(260.5430) Physical optics : Polarization

(350.5500) Other areas of optics : Propagation

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: February 28, 2011

Revised Manuscript: April 13, 2011

Manuscript Accepted: April 14, 2011

Published: April 19, 2011

**Citation**

Gaofeng Wu and Yangjian Cai, "Modulation of spectral intensity, polarization and coherence of a stochastic electromagnetic beam," Opt. Express **19**, 8700-8714 (2011)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-9-8700

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