Approximate method for the generalized M² factor of rotationally symmetric hard-edged diffracted flattened Gaussian beams
Applied Optics, Vol. 44, Issue 8, pp. 1381-1386 (2005)
http://dx.doi.org/10.1364/AO.44.001381
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Abstract
On the basis of the truncated second-order moments method in the cylindrical coordinate systems and the expansion of the hard-edged aperture function into a finite sum of complex Gaussian functions, an approximate method used to calculate the generalized beam propagation factor (M² factor) is proposed. The approximate analytical expressions of the generalized M² factor for rotationally symmetric hard-edged diffracted flattened Gaussian beams defined by Gori [Opt. Commun. 107, 335 (1994)] and Li [Opt. Lett. 27, 1007 (2002)] are derived, respectively; we show that it depends on the beam order N and the beam truncation parameter delta. Some typical numerical examples are given to illustrate its applications that we compare by using the obtained analytical method and the numerical integration method.
© 2005 Optical Society of America
OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(110.1220) Imaging systems : Apertures
(350.5500) Other areas of optics : Propagation
Citation
Zhangrong Mei and Daomu Zhao, "Approximate method for the generalized M² factor of rotationally symmetric hard-edged diffracted flattened Gaussian beams," Appl. Opt. 44, 1381-1386 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-8-1381
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