Accession Number:

ADA164276

Title:

Cylindrical Gaussian Eigenmodes of a Rectangular Waveguide Resonator Three-Dimensional Numerical Calculation of Gain per Mode.

Descriptive Note:

Technical rept. 1 Oct 83-30 Sep 84,

Corporate Author:

CALIFORNIA UNIV SANTA BARBARA QUANTUM INST

Personal Author(s):

Report Date:

1984-01-01

Pagination or Media Count:

13.0

Abstract:

First we present approximate analytical solutions to the wave equation inside an over-moded metallic retangular waveguide. The cold eigenmodes are expressed in terms of cylindrical Gaussian-Hermite functions times trigonometric functions to insure the boundary conditions. Next, we discuss a numerical three-dimensional calculation for a Free Electron Laser FEL amplifier which is based on the Lienard-Wiechert solution of the Maxwells equations cast in an integral form. This approach is readily and efficiently extended to include the efects of the metallic boundaries of the waveguide by means of the method of image currents. Finally, the radiation field in the cavity emitted by the electrons in the presence of the combined fields of a co-propagating eigenmode wave plus a linearly polarized magnetic undulator is expanded in terms of cavity eigenmodes. This expansion allows us to compute the gain per resonator mode. Author

Subject Categories:

  • Lasers and Masers
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE