Far-infrared, low-loss, cylindrical-Gaussian eigenmodes of a bent rectangular waveguide free electron laser resonator
We present approximate analytical solutions of the Helmholtz equation for a slightly bent metallic rectangular waveguide with infinite aperture cylindrical mirrors. The low-order, overmoded, low-losses eigenmodes of the ''cold resonator'' are naturally expressed as products of cylindrical Gaussian--Hermite and trigonometric functions. In first order in perturbation theory, the correction to the attenuation constant is proportional to the straight waveguide attenuation constant. We show that ..pi.. modes propagate with negligible losses in the far-infrared region. These results are compatible with preliminary experimental data from the University of California, Santa Barbara Free Electron Laser experiment.
- Research Organization:
- Quantum Institute, University of California, Santa Barbara, California 93106
- OSTI ID:
- 5767398
- Journal Information:
- J. Appl. Phys.; (United States), Vol. 57:11
- Country of Publication:
- United States
- Language:
- English
Similar Records
Cylindrical Gaussian eigenmodes of a rectangular waveguide resonator: three-dimensional numerical calculation of gain per mode. Technical report, 1 October 1983-30 September 1984
Cylindrical gaussian-hermite modes in rectangular waveguides resonators. Technical report, 14 January 1981-13 January 1982
Related Subjects
FREE ELECTRON LASERS
ANALYTICAL SOLUTION
EIGENVALUES
EIGENVECTORS
WAVE PROPAGATION
ATTENUATION
BENDING
EIGENFREQUENCY
ELECTRIC FIELDS
FAR INFRARED RADIATION
HELMHOLTZ THEOREM
PERTURBATION THEORY
WAVEGUIDES
ELECTROMAGNETIC RADIATION
INFRARED RADIATION
LASERS
RADIATIONS
420300* - Engineering- Lasers- (-1989)