The diffraction of Gaussian beams by periodic and aperiodic rulings is considered. The theory of diffraction is based on the Rayleigh–Sommerfeld integral equation with Dirichlet conditions. The transmitted power and the normally diffracted energy are analyzed as a function of the beam radius. Two methods to determine the Gaussian beam radius by means of periodic and aperiodic lamellar gratings are proposed. One is based on the maximum and the minimum transmitted power, and the other one considers the normally diffracted energy. Small and large Gaussian beam radii can be treated with these two methods.
© 2008 Optical Society of America
Diffraction and Gratings
Original Manuscript: June 5, 2008
Manuscript Accepted: July 26, 2008
Published: October 16, 2008
O. Mata-Mendez, "Diffraction of Gaussian beams by periodic and aperiodic rulings," J. Opt. Soc. Am. A 25, 2743-2748 (2008)