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Revista mexicana de física

Print version ISSN 0035-001X


MATA-MENDEZ, O.. Two methods to determine the Hermite-Gaussian beam radius by means of aperiodic rulings. Rev. mex. fis. [online]. 2010, vol.56, n.2, pp.141-146. ISSN 0035-001X.

We study the diffraction of Hermite-Gaussian beams by aperiodic rulings by means of the Rayleigh-Sommerfeld theory in the scalar diffraction regime. We extend to Hermite-Gaussian beams the results of a previous paper where Gaussian beams were considered [J. Opt. Soc. Am. A 25 (2008) 2743]. The transmitted power and the normally diffracted energy are analyzed as a function of the beam radius. Two methods to determine the Hermite-Gaussian beam radius by means of aperiodic rulings are proposed. These two methods are based on the maximum and minimum transmitted power, and in the normally diffracted energy.

Keywords : Diffraction; gratings.

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