Far-infrared, low-loss, cylindrical-Gaussian eigenmodes of a bent rectangular waveguide free electron laser resonator

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.335307· OSTI ID:5767398

Elias, L; Gallardo, J; Kimel, I

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), Journal Name: J. Appl. Phys.; (United States) Vol. 57:11; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
ANALYTICAL SOLUTION
ATTENUATION
BENDING
EIGENFREQUENCY
EIGENVALUES
EIGENVECTORS
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
FAR INFRARED RADIATION
FREE ELECTRON LASERS
HELMHOLTZ THEOREM
INFRARED RADIATION
LASERS
PERTURBATION THEORY
RADIATIONS
WAVE PROPAGATION
WAVEGUIDES