ROTATIONAL MODES IN SPHERICAL-MIRROR RESONATORS.

Abstract

This work is the examination of a cavity mode approach to the mode structure of a laser. The solution of the vector wave equation for rotational fields in and between oblate spheroidal cavities are examined for the case of wavelengths much less than cavity dimensions. These solutions are rotational field modes in Fabry-Perot type resonators with equal-radius concave spherical mirrors, or with concave-convex spherical mirrors, when the parameters of the oblate spheroids are chosen so that the radii of curvature and spacing on the axis of rotation match those of the resonator mirrors. Expressions for the transverse and longitudinal rotational mode structures are derived. The eigenvalue equations are written, and are solved for the case of the two lowest order modes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0604690

Entities

People

  • Walter A. Specht Jr.

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Curvature
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Resonators
  • Rotation
  • Transverse
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Optical Physics and Photonics.
  • Structural Dynamics.

Technology Areas

  • Directed Energy
  • Space