Parametric characterization of rotationally symmetric hard-edged diffracted beams
JOSA A, Vol. 21, Issue 2, pp. 193-198 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000193
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Abstract
The truncated second-order moments and generalized M<sup>2</sup> factor (M<sub>G</sub><sup>2</sup> factor) of two-dimensional beams in the Cartesian coordinate system are extended to the case of three-dimensional rotationally symmetric hard-edged diffracted beams in the cylindrical coordinate system. It is shown that the propagation equations of truncated second-order moments and the M<sub>G</sub><sup>2</sup> factor take forms similar to those for the nontruncated case. The closed-form expression for the M<sub>G</sub><sup>2</sup> factor of rotationally symmetric hard-edged diffracted flattened Gaussian beams is derived that depends on the truncation parameter β and beam order <i>N</i>. For N → ∞, the M<sub>G</sub><sup>2</sup> factor equals 4/∛ corresponding to the value of truncated plane waves, which guarantees consistency of the formalism.
© 2004 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
Baida Lü and Shirong Luo, "Parametric characterization of rotationally symmetric hard-edged diffracted beams," J. Opt. Soc. Am. A 21, 193-198 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-2-193
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