Rms characterization of Bessel–Gauss beams: Correspondence between polar and Cartesian representations
✍ Scribed by Guy Rousseau; David Gay; Michel Piché
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 342 KB
- Volume
- 265
- Category
- Article
- ISSN
- 0030-4018
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✦ Synopsis
A recent analysis [G. Rousseau, D. Gay and M. Piche ´, One-dimensional description of cylindrically symmetric laser beams: application to Bessel-type nondiffracting beams, J. Opt. Soc. Am. A, 22 (2005) 1274] has shown that any cylindrically symmetric laser beam can be synthesized from a single wave called a constituent wave. This representation allows the introduction of one-dimensional Cartesian root-mean-square (rms) parameters to describe the conical structure of cylindrically symmetric laser beams. In this paper, we compare the rms characterization of Bessel-Gauss beams in polar coordinates with that of their respective constituent waves in Cartesian coordinates. Numerical results reveal an asymptotic correspondence between polar and Cartesian rms parameters of Bessel-Gauss beams propagating in a nondiffracting regime. Such a correspondence eliminates misleading interpretations about the propagation factor and the Rayleigh range of nondiffracting Bessel-type beams characterized in terms of polar rms parameters.