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Free keywords:
SCHELL-MODEL BEAMS; FOCAL SWITCH; RESONATORS; ELEGANT; AXICON; SHIFTS;
WAVES; FIELDOptics;
Abstract:
Propagation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical system is investigated. Analytical formulas for Bessel and Bessel-Gaussian beams propagating through an unapertured misaligned paraxial optical system are derived based on the generalized diffraction integral formula for treating the propagation of a laser beam through a misaligned paraxial optical system in the cylindrical coordinate system. By expanding the hard aperture function into a finite sum of complex Gaussian functions, some approximate analytical formulas are derived for Bessel and Bessel-Gaussian beams propagating through an apertured misaligned paraxial optical system. Some numerical examples are illustrated. The present analytical formulas provide a convenient and effective way for studying the propagation and transformation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical system. (C) 2007 Elsevier B.V. All rights reserved.
