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Free keywords:
SCHELL MODEL BEAMS; TURBULENT ATMOSPHERE; FAR-FIELD; DIFFRACTION;
GENERATION; ORDER; APPROXIMATION; DIVERGENCE; SCATTERING; LAWOptics;
Abstract:
Paraxial propagation of a partially coherent Hermite-Gaussian beam through aligned and misaligned ABCD optical systems is investigated based on the generalized Collins formula for treating the propagation of a partially coherent beam through such optical systems. Analytical formulas for the cross-spectral density of a partially coherent Hermite-Gaussian beam propagating through such optical systems are derived. As an application example, we derive the propagation formulas for a partially coherent flattened Gaussian beam by expressing it as a superposition of a series of partially coherent Hermite-Gaussian beams by using polynomial expansion. The focusing properties of a partially coherent Hermite-Gaussian beam focused by a thin lens are studied as a numerical example. (c) 2007 Optical Society of America.
