Diffraction of HermiteGaussian beams by a slit
Abstract
Diffraction of HermiteGaussian beams of arbitrary order by a slit is treated. We start from the Rayleigh integral equation for twodimensional diffraction problems with Dirichlet conditions and the Kirchhoff approximation. We analyze the transmission coefficient tau , the intensity diffracted at normal direction E , and the ratio of the minimum transmitted power to the maximum transmitted power, kappa . New analytical expressions for tau and kappa are given in simple form as a function of the position of the incident beam wave (with respect to the slit) and the spot size. Also, an interesting diffraction property of E and tau given by E= tau / lambda is presented, where lambda is the wavelength of the incident beam wave. We have found that the diffraction patterns at minimum transmitted power have an unusual energy at normal direction is always null. Copyright (c) 1995 Optical Society of America
 Publication:

Journal of the Optical Society of America A
 Pub Date:
 November 1995
 DOI:
 10.1364/JOSAA.12.002440
 Bibcode:
 1995JOSAA..12.2440M
 Keywords:

 BEAMS;
 DIFFRACTION