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Updated: Aug 30, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Bessel-Gauss resonator with spherical output mirror: geometrical- and wave-optics analysis
Julio C Gutiérrez-Vega1, Rodolfo Rodríguez-Masegosa, Sabino Chávez-Cerda
1Photonics and Mathematical Optics Group, Departament of Physics, Tecnológico de Monterrey, Monterrey, Nuevo León, México 64849. juliocesar@itesm.mx
Abstract:
A detailed study of the axicon-based Bessel-Gauss resonator with concave output coupler is presented. We employ a technique to convert the Huygens-Fresnel integral self-consistency equation into a matrix equation and then find the eigenvalues and the eigenfields of the resonator at one time. A paraxial ray analysis is performed to find the self-consistency condition to have stable periodic ray trajectories after one or two round trips. The fast-Fourier-transform-based Fox and Li algorithm is applied to describe the three-dimensional intracavity field distribution. Special attention was directed to the dependence of the output transverse profiles, the losses, and the modal-frequency changes on the curvature of the output coupler and the cavity length. The propagation of the output beam is discussed.
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