On the basis of the fact that a hard-edged elliptical aperture can be expanded approximately as a finite sum of complex Gaussian functions in tensor form, an analytical propagation expression for an elliptical Gaussian beam (EGB) through a misaligned optical system with an elliptical aperture is derived by use of vector integration. The approximate analytical results provide more convenience for studying the propagation and transformation of EGBs than the usual way by using a diffraction integral directly, and the efficiency of numerical calculation is improved. Some numerical simulations are illustrated for the propagation properties of EGBs through apertured optical transforming systems with misaligned thin lenses.
© 2006 Optical Society of America
Lasers and Laser Optics
Original Manuscript: December 12, 2005
Manuscript Accepted: February 23, 2006
Xinyue Du and Daomu Zhao, "Propagation of elliptical Gaussian beams in apertured and misaligned optical systems," J. Opt. Soc. Am. A 23, 1946-1950 (2006)