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.
© 2003 Optical Society of America
Julio C. Gutiérrez-Vega, Rodolfo Rodríguez-Masegosa, and Sabino Chávez-Cerda, "Bessel–Gauss resonator with spherical output mirror: geometrical- and wave-optics analysis," J. Opt. Soc. Am. A 20, 2113-2122 (2003)