title: Propagation of a decentered elliptical Gaussian beam through apertured aligned and misaligned paraxial optical systems.
abstract: By expanding the hard aperture function into a finite sum of complex Gaussian functions, approximate analytical formulas for a decentered Gaussian beam (DEGB) passing through apertured aligned and misaligned paraxial apertured paraxial optical systems are derived in terms of a tensor method. The results obtained by using the approximate analytical expression are in good agreement with those obtained by using the numerical integral calculation. Furthermore, approximate analytical formulas for a decentered elliptical Hermite-Gaussian beam (DEHGB) through apertured paraxial optical systems are derived. As an application example, approximate analytical formulas for a decentered elliptical flattened Gaussian beam through apertured paraxial optical systems are derived. Our results provide a convenient way for studying the propagation and transformation of a DEGB and a DEHGB through apertured paraxial optical systems.
authors.affiliation: Joint Research Center of Photonics, Royal Institute of Technology and Zhejiang University, Zijingang Campus, Zhejiang University, Hangzhou 310058, China. yangjian_cai@yahoo.com.cn
authors.forename: Yangjian
authors.initials: Y
authors.lastname: Cai
authors.forename: Lei
authors.initials: L
authors.lastname: Zhang