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

Full Article  |  PDF Article

Corrections

17 May 2019: A typographical correction was made to Eq. 9.


OSA Recommended Articles
Wave description of geometric modes of a resonator

Jorrit Visser, Niels J. Zelders, and Gerard Nienhuis
J. Opt. Soc. Am. A 22(8) 1559-1566 (2005)

Eigenmodes of spherical dielectric cavities: coupling of internal and external rays

G. Roll, T. Kaiser, and G. Schweiger
J. Opt. Soc. Am. A 16(4) 882-895 (1999)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (19)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription