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After examining the temporal behavior of an amplified electromagnetic wave, we consider the question of efficiency. This section concludes with a Vlasov formulation of the gain for a beam of finite temperature. Section IV deals first with a description of apparatus and diagnostic methods; next the results of traveling wave stimulated scattering experiments that involve the growth of amplified noise are discussed; and finally a detailed review and interpretation is given of the results of the collective FEL oscillator experiment.

Winterberg, F. (1971). Proc. Int. School Phys. "Enrico Ferrni" 50, 370. Yonas. G. (1978). Plostna Phys. Controlled Nucl. Fusion R e s . , Proc. Int. , 7th. 1978 Paper IAEA-CN-37-17-3. , and Toepfer, A. J. (1978). In "Gaseous Electronics: Electrical Discharges" (M. N. Hirsh and H. J. ), Vol. 1, Chapter 6. Academic Press, New York. , Prestwich. K . , Poukey, J . , and Freeman, J. R. Phgs. Rev. Lett. 30, 164. , Poukey, J . W.. Prestwich, K . , Freeman, J. , Toepfer, A. J . ( 1974). Nucl. Fusion 14, 73 I .

Electrons are emitted from the boundary of the plasma sheath all along the transmission line surface. It is obvious that if the above electron current were not inhibited in some manner it would be impossible to transmit power in vacuum lines under these conditions. However, it has been observed that the selfmagnetic fields caused by current flowing in the surface of the conductor (boundary current) and the space-charge-limited electron flow in the gap will modify the emitted electron trajectories so they are confined to the region of the cathode in a sheath.

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