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Explicit expression for growth rates in free-electron lasers with helical and axial magnetic fields
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014609.pdf
Date
1991
Author
Kabak, Yahya
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Subject Keywords
Free electron lasers
,
Magnetic fields
URI
https://hdl.handle.net/11511/11548
Collections
Graduate School of Natural and Applied Sciences, Thesis
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EXPLICIT EXPRESSION FOR GROWTH-RATES IN FREE-ELECTRON LASERS WITH HELICAL AND AXIAL MAGNETIC-FIELDS
DEMOKAN, O; KABAK, Y (1992-10-01)
The dispersion relations of transverse and longitudinal modes in a free-electron laser with helical and axial magnetic fields are derived exactly for the one-dimensional case. The modes with positive and negative helicity are distinguished clearly. An analytically solvable expression for the growth rate of the modes, in resonance with the beam, is obtained. The dependence of the growth rate on system parameters is studied for broad ranges of values and comments on optimization are made.
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Radial motion of a highly conducting sphere in external magnetic field is considered. It both perturbs the external magnetic field and generates an electric field. Exact analytic solution has been obtained previously for a uniformly expanding sphere. In the present paper a new exact solution is derived which is valid not only for expansion but for contraction as well. It allows us to calculate analytically the total electromagnetic energy irradiated by the sphere involved in periodical radial motion with ar...
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Y. Kabak, “Explicit expression for growth rates in free-electron lasers with helical and axial magnetic fields,” Ph.D. - Doctoral Program, Middle East Technical University, 1991.
