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Updated: Jun 7, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Analytic solution of flat-top Gaussian and Laguerre-Gaussian laser field components
Alexander Cerjan1, Charles Cerjan
11Department of Physics, Yale University, New Haven, Connecticut 06520-8120, USA. alexander.cerjan@yale.edu
Abstract:
We generalized the nonparaxial field components of Laguerre-Gaussian and flattened Gaussian beams obtained using the angular spectrum method to include symmetric radial and angular expansions and simplified them using an approximate evaluation of the integral equations for the field components. These field components possess series expressions in orders of a natural expansion parameter, which clarifies the physical interpretation of the series expansion. A connection between Laguerre-Gaussian and flat-top Gaussian profiles is obtained.
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