Propagation of a Laguerre–Gaussian beam through a slightly misaligned paraxial optical system |
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Authors: | Y Cai S He |
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Institution: | (1) Joint Research Center of Photonics of the Royal Institute of Technology and Zhejiang University, Zhejiang University, East Building No. 5, Zijingang Campus, Hangzhou, 310058, P.R. China;(2) Division of Electromagnetic Engineering, School of Electric Engineering, Royal Institute of Technology, 10044 Stockholm, Sweden |
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Abstract: | Based on the generalized diffraction integral formula for treating the propagation of a laser beam through a slightly misaligned optical system in a cylindrical coordinate system, an analytical formula for a Laguerre–Gaussian beam passing through such an optical system is derived. Furthermore, an approximate analytical formula is derived for a Laguerre–Gaussian beam passing through an apertured slightly misaligned optical system by expanding the hard aperture function as a finite sum of complex Gaussian functions. Some analytical formulas are also given for a flattened Gaussian beam by expanding its field as a superposition of a finite series of Laguerre–Gaussian beams. PACS 42.25.Bs; 41.85.Ew; 41.85.Ct |
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