The Michelson resonator free-electron laser - Part II. Supermode structure and mirror detuning effects

Journal Article · Mon Feb 01 04:00:00 EST 1993 · IEEE Journal of Quantum Electronics (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/3.199301· OSTI ID:6386463

Szarmes, E B; Madey, J M.J. ^[1]

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1. Duke Univ., Durham, NC (United States)

The authors apply conventional mode-locked laser theory to the longitudinal mode structure in an RF linac-driven Michelson resonator FEL, and obtain a greatly simplified derivation of the small-signal small-gain FEL coupled mode equations. They numerically solve these equations directly in the frequency domain to study the supermode evolution in the presence of mode dependent cavity losses, and compare the results with simulations of the detuned Michelson resonator FEL using a pulse propagation code based on the Maxwell-Lorentz equations of motion. Increasing the interferometer detuning is shown to broaden and shift the cavity detuning curve, narrow the supermode spectrum, and decrease the hypermode decay rates. The practical consequences of each of these effects are discussed. Finally, they outline a simple theory describing the dependence of the hypermode decay rates on interferometer detuning, in which the decay rates are abruptly decreased beyond a critical' detuning which depends primarily on the slippage length. This result is shown to yield excellent agreement with the coupled-mode simulations.

• OSTI ID: 6386463
• Journal Information: IEEE Journal of Quantum Electronics (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Journal of Quantum Electronics (Institute of Electrical and Electronics Engineers); (United States) Vol. 29:2; ISSN 0018-9197; ISSN IEJQA7
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
426002* -- Engineering-- Lasers & Masers-- (1990-)
ACCELERATORS
AMPLIFICATION
CAVITY RESONATORS
COMPARATIVE EVALUATIONS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUATIONS OF MOTION
EQUIPMENT
EVALUATION
FREE ELECTRON LASERS
FREQUENCY ANALYSIS
GAIN
INTERFEROMETERS
LASER MIRRORS
LASERS
LINEAR ACCELERATORS
MEASURING INSTRUMENTS
MICHELSON INTERFEROMETER
MIRRORS
MODE LOCKING
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RESONATORS
TUNING