Abstract
The field of radiation emission from electron beams is reviewed with special reference to work related to free-electron lasers. Different schemes of interaction in periodic structures, electromagnetic slow-wave structures, and in transverse confining force are distinguished. Various effects and devices such as traveling wave amplifiers, Smith-Purcell radiators, Cerenkov and bremsstrahlung-free electron lasers, cyclotron resonance masers, coherent bremsstrahlung and channeling radiation are discussed and the differences and relations among them are explained. A simple comprehensive model is developed to describe electron-beam interaction with an electromagnetic wave in periodic electromagnetic structures. The model is general enough to describe both collective and single-electron modes of interaction and quantum mechanical, classical and Fermi degenerate regimes. Simplified expressions are developed for the gain by stimulated emission of radiation and for gain conditions of the Smith-Purcell-Cerenkov type free-electron lasers under conditions of very thin electron beams and infinite interaction length.
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References
J.R.Pierce:Traveling Wave Tubes (Van Nostrand, Princeton 1950)
S.J.Smith, E.M.Purcell. Phys. Rev.92, 1069 (1953)
L.Elias, W.Fairbank, J.Madey, H.A.Schwettman, T.Smith: Phys. Rev. Lett.33, 717 (1976)
L.M.Field, P.K.Tien, D.A.Watkins: Proc IRE39, 194 (1951)
R.M.Phillips, IRE Trans. ED7, 231 (1960)
J.Schneider, Phys. Rev. Lett.2, 504 (1959)
L.Landau: Z. Physik64, 629 (1930)
M.A.Kumakhov: Phys. Lett.57, 17 (1976)
R.W.Terhune, R.H.Pantell: Appl. Phys. Lett.30, 265 (1977)
J.V.Jelley:Cerenkov Radiation and its Applications. (Pergamon, New York 1958)
J.D.Jackson:Classical Electrodynamics (J. Wiley, New York 1962)
M.A.Piestrup, R.H.Pantell, H.E.Puthoff, G.B.Rothbart: J. Appl. Phys.44 5160 (1973)
D.Marcuse: Bell Syst. Tech. J.41, 1557 (1962) ibid42, 415 (1963)
J.M.Madey: J. Appl. Phys.42, 1906 (1971)
D.Coleman, C.Enderby: J. Appl. Phys.31, 1695 (1960)
W.Stroke: InHandbuch der Physik, Vol. XXIX, ed. by S. Flugge (Springer Berlin, Heidelberg, New York 1967) p. 440
Historical Notes: IEEE Trans.—special issue, ED23, 714–738 (1976)
J.W.Gewartovski, H.A.Watson:Principles of Electron Tubes (Van Nostrand, Princeton 1965)
V.L.Ginzburg, V.Zheleznyakov Phil. Mag.11, 197 (1965)
I.Palocz, A.A.Oliner: Proc. IEEE53, 24 (1965), and55 46 (1967)
A.Gover: “Wave Interactions in Periodic Structures and Periodic Dielectric Waveguides”; Caltech report (Feb. 1976)
K.Mizuno, S.Ono: J. Appl. Phys.46 1849 (1975)
K.Mizuno, Y.Shibata: IEEE Trans. ED20, 749 (1973)
R.H.Pantell:Symposium on Millimeter Waves (Polytechnic Institute of Brooklyn, 1959) p. 301
R.B.Palmer: J. Appl. Phys.43, 3014 (1972)
V.P.Sukhatme, P.A.Wolff: J. Appl. Phys.44, 2331 (1973)
F.A.Hopf, P.Meystre, M.O.Scully, W.H.Louisell: Phys. Rev. Lett.37, 1215 (1976)
S.E.Graybill, S.A.Nablo: IEE Trans. NS14, 782 (1967)
J.A.Nation: Appl. Phys. Lett.17, 491 (1970)
N.F.Kovalev, M.I.Petelin, M.D.Raizer, A.V.Smorgonskii, L.E.Tsopp: ZhETF Pis. Red.18, 232 (1973)
J.E.Walsh T.C.Marshal, S.P.Schlesinger: Phys. Fluids20, 709 (1977)
H.Lashinsky: In:Advances in Electronics and Electron Physics, ed. by L. Marton (Academic Press, New York 1961) p. 265
F.Friedman, M.Herndon: Phys. Rev. Lett.28, 210 (1972)
P.C.Efthimion, S.P.Schlesinger: Phys. Rev. A.16, 633 (1977)
W.Manheimer, E.Ott: Phys. Fluids17, 463 (1974)
J.L.Hirshfield, J.M.Wachtel: Phys. Rev. Lett.12, 533 (1964)
I.B.Bott: Phys. Lett.14, 293 (1965)
D.V.Kisel, G.S.Korablev, V.G.Navelyev, M.I.Petelin, Sh.Ye.Tsimring: Sov. Radio Eng. and Elect. Phys.19, 95 (1974)
N.I.Zaytsev, T.B.Pankratova, M.I.Petelin, V.Flyagin: Sov. Radio Eng. and Elect. Phys.19, 103 (1974)
M.Friedman, D.A.Hammer, W.M.Manheimer, P.Sprangle: Phys. Rev. Lett.31, 752 (1973)
V.L.Granatstein, M.Herndon, R.K.Parker, P.Sprangle: IEEE J. QE10, 651 (1974)
V.L.Granatstein, M.Herndon, P.Sprangle, Y.Carmel, J.S.Nation: Plasma Phys.17, 23 (1975)
M.Friedman, M.Herndon, Appl. Phys. Lett.22, 658 (1973)
V.L.Granatstein, M.Herndon R.K.Parker, S.D.Schlesinger: IEEE Trans. MTT22, 1000 (1974)
V.L.Granatstein, S.P.Schlesinger, M.Herndon R.K.Parker, J.A.Passour, Appl. Phys. Lett.30, 384 (1977)
P.Sprangle, V.L.Granatstein, L.Baker: Phys. Rev. A.12, 1697 (1975)
P.Sprangle, V.L.Granatstein: Appl. Phys. Lett.25, 377 (1974)
R.H.Pantell, G.Soncini, H.Puthoff: IEEE J. QE4, 905 (1968)
V.A.Dubrovskii, N.B.Lerner, B.G.Tsikin: Sov. J. Quant. Electron.5, 1248 (1975)
A.Hasegawa, K.Mima: Appl. Phys. Lett.29, 542 (1976)
V.P.Sukhatme, P.A.Wolff: IEEE J. QE10, 870 (1974)
H.Uberall: Phys. Rev.103, 1055 (1956)
V.A.Belyakov: JETP Lett.13, 179 (1971)
V.V.Batygin: Phys. Lett.28A, 65 (1968)
G.Diambini Palazzi, Rev. Mod. Phys.40, 611 (1968)
R.L.Walker, B.L.Berman, R.C.Der, T.M.Kavanagh, J.M.Khan, Phys. Rev. Lett25, 5 (1970)
R.L.Walker, B.L.Berman, S.D.Bloom: Phys. Rev. A11, 736 (1975)
R.Tsu, L.Esaki: Appl. Phys. Lett.22, 562 (1973)
J.Lindhard, Kgl. Danske Viden Skab, Selskab. Mat. Fys. Medd.28, #8 (1954)
B.D.Fried, S.D.Conte:The Plasma Dispersion Function (Academic Press, New York 1971)
L.Landau: J. Phys. USSR10, 25 (1946)
A.Gover, H.K.Burrell, A.Yariv: J. Appl. Phys.45, 4847 (1974)
A.H.Poritsky: IRE Trans. PGED2, 60 (1953)
A.Yariv, D.Armstrong: J. Appl. Phys.44, 1664 (1973)
I.Palocz, A.A.Oliver:Symp. Quasi-Optics Polytechnic Inst. of Brooklyn (1964) p. 217
B.W.Batterman: Rev. Mod. Phys.36, 681 (1964)
L.Adler: Phys. Rev.126, 413 (1962);
N.Wiser: Phys. Rev.129, 62 (1963)
D.L.Johnson: Phys. Rev. B12, 3428 (1975)
A.Gover, A.Yariv: J. Appl. Phys.46, 3946 (1975)
A.Gover, A.Yariv, P.Yeh: VIII Internat'l. Quantum Electronics Conf. Abstract; see Optics Commun.18, 222 (1976)
A.Gover: Calculation of longitudinal components, unpublished See also [21]
D.A.G.Deacon, L.R.Elias, J.M.J.Madey, G.J.Ramian, H.A.Schwettman, T.I.Smith: Phys. Rev. Lett.38, 892 (1977)
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This research is supported by the Air Force Office of Scientific Research under contract AFOSR-76-2933
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Gover, A., Yariv, A. Collective and single-electron interactions of electron beams with electromagnetic waves, and free-electron lasers. Appl. Phys. 16, 121–138 (1978). https://doi.org/10.1007/BF00930376
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DOI: https://doi.org/10.1007/BF00930376