Paper
1 December 1990 High harmonic synchrotron resonance maser
J. L. Hirshfield
Author Affiliations +
Proceedings Volume 1514, 15th International Conference on Infrared and Millimeter Waves; 15143O (1990) https://doi.org/10.1117/12.2301542
Event: 15th International Conference on Infrared and Millimeter Waves, 1990, Orlando, FL, United States
Abstract
Analysis of the well-known dispersion relation for electromagnetic waves propagating in an uniform electron plasma with a magnetic field shows unexpected results near the cyclotron harmonics nΩ when the electron energies are relativistic. In particular, it can be shown that gain for waves propagating across the magnetic field will exist up to the harmonic number nmax = 0.1 A3γ6 , where A is the normalized transit-time 2ΩT for the interacting electrons and γ is the relativistic energy factor. For n < nmax , gain falls slowly with harmonic number, i.e. as n-1/3. Similar results can be inferred from relativistic quantum theory. Numerical solutions of the reduced dispersion relation substantiate the analytical approximations. The starting current for a quasi-optical synchrotron resonance maser oscillator is derived, and examples using a 2 megavolt electron beam are discussed.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
J. L. Hirshfield "High harmonic synchrotron resonance maser", Proc. SPIE 1514, 15th International Conference on Infrared and Millimeter Waves, 15143O (1 December 1990); https://doi.org/10.1117/12.2301542
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KEYWORDS
Synchrotrons

Analytical research

Magnetism

Radio propagation

Wave propagation

Electromagnetic radiation

Electron beams

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