Mode Analysis in a Misaligned Unstable Resonator.

Abstract

The integral equation that describes mode structure of an unstable resonator with rectangular apertures is developed from scalar diffraction theory. This equation, modified to account for misalignments, is solved by applying the asymptotic methods developed by Horowitz. A second order approximation of the method of stationary phase is the employed to calculate phase and intensity values for all points in the output plane. The phase front is also curve fitted to a straight line over the geometrical region for the lowest loss mode. From the slope of the straight line, a direction of propagation can be attributed to the wave. This is a diffracted beam steering angle and is additional to the geometric steering angle (i.e., the beam steering angle due to the geometric misalignment of either or both mirrors). Plots of intensity and phase for various degrees of misalignments are presented as results of a computer program that utilizes the derived expressions. Also included are graphs of the phase slope versus mirror misalignment. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA118041

Entities

People

  • Richard W. Berdine

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Series
  • Beam Steering
  • Computer Programs
  • Computers
  • Curvature
  • Diffraction
  • Distortion
  • Equations
  • Geometry
  • Integral Equations
  • Integrals
  • Laser Applications
  • Laser Beams
  • Laser Resonators
  • Lasers
  • Polynomials

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering