## Partially Coherent Flat-Topped Beam and Its Propagation

Applied Optics, Vol. 43, Issue 24, pp. 4732-4738 (2004)

http://dx.doi.org/10.1364/AO.43.004732

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### Abstract

A partially coherent beam with flat-topped profile is proposed. The cross-spectral density of this beam can be expressed as a finite series of the cross-spectral density of partially coherent Gaussian-Schell-model beams with different parameters. Analytical propagation formulas for partially coherent flat-topped beams are derived through aligned and misaligned optical systems. The propagation property of partially coherent flat-topped beams in free space is illustrated numerically. The fractional Fourier transform of partially coherent flat-topped beams is also studied. Our method provides a convenient way to describe partially coherent flat-topped beams and treat their propagation and transformation.

© 2004 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(140.3300) Lasers and laser optics : Laser beam shaping

**Citation**

Di Ge, Yangjian Cai, and Qiang Lin, "Partially Coherent Flat-Topped Beam and Its Propagation," Appl. Opt. **43**, 4732-4738 (2004)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-24-4732

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