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

Yung-Fu Chen*, J. C. Tung, M. X. Hsieh, Y. H. Hsieh, H. C. Liang, Kai-Feng Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The parametric equations for periodic rays in degenerate astigmatic laser resonators are derived in a generalized way. The derived parametric equations clearly reveal the formation of Lissajous geometric modes with phase variation along the propagation. Using the representation of a quantum coherent state, a generalized wave-packet formula is derived to connect with the periodic rays of geometric modes. The derived wave-packet formula is not only validated through comparing with various experimental patterns, but also is directly exploited to manifest the spatial asymmetries of Lissajous lasing modes due to a highly transmissive output coupler. (C) 2019 Optical Society of America

Original languageEnglish
Pages (from-to)5366-5369
Number of pages4
JournalOptics Letters
Issue number21
StatePublished - 1 Nov 2019



Cite this