Abstract

In terms of the Gaussian beam parameter and Gouy phase, the parametric equations for geometric rays of periodic orbits in spherical resonators are originally generalized as the real parts of polar forms. The derived polar forms are employed to create an analytical wave-packet representation for unifying the ray and wave. The developed wave-packet representation can concurrently manifest the geometric modes and eigenmodes in the degenerate and nondegenerate cavities. Complete comparisons with experimental data are made not only to verify the derived wave-packet representation, but also to disclose the transition from the eigenmodes to geometric modes by increasing the transverse order in a degenerate cavity.

© 2019 Optical Society of America

Generalized wave-packet formulation with ray-wave connections for geometric modes in degenerate astigmatic laser resonators

Y. F. Chen, J. C. Tung, M. X. Hsieh, Y. H. Hsieh, H. C. Liang, and K. F. Huang
Opt. Lett. 44(21) 5366-5369 (2019)

Origin of continuous curves and dotted spots in laser transverse modes with geometric structures

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Wave representation for asymmetric elliptic vortex beams generated from the astigmatic mode converter

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Multiaxial super-geometric mode laser

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