Abstract

A new method is developed for mode calculation in optical systems by use of quantum-mechanics formalism. Scalar approximation of optical waves is used. It is shown that in gaussian optics a very simple rule applies, which gives modes when ray propagation is known by the geometrical method. These modes are shown to be Weber–Hermite functions. Applications are considered in general optical resonators.

© 1971 Optical Society of America

Mode Coupling in First-Order Optics

J. A. Arnaud
J. Opt. Soc. Am. 61(6) 751-758 (1971)

Quasi-Geometric Optics of Media with Inhomogeneous Index of Refraction*

George Eichmann
J. Opt. Soc. Am. 61(2) 161-168 (1971)

Uniform Asymptotic Description of Beam Modes*

L. Levey and S. Maurer
J. Opt. Soc. Am. 61(12) 1699-1704 (1971)

Evanescent Waves and the Electromagnetic Field of a Moving Charged Particle*

R. Asby and E. Wolf
J. Opt. Soc. Am. 61(1) 52-59 (1971)

Optical Modes in Inhomogeneous-Toroidal Open Resonators*

F. Paul Carlson and Nai K. Shi
J. Opt. Soc. Am. 61(11) 1443-1450 (1971)