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Part of the book series: Particle Acceleration and Detection ((PARTICLE))

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Abstract

In Chap. 1 we have shown that the interaction of electrons with an electromagnetic wave is possible even when the phase velocity of the latter is larger than \( c \), provided that there is a way to conserve simultaneously both energy and momentum. In a free-electron laser (FEL) this is facilitated by the presence of a periodic magnetic field. In most cases, the components of this field are transverse to the initial velocity of the electron. An electron injected in a periodic magnetic field (wiggler) oscillates and, as a result, it emits radiation.

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References

  • Attwood, D.: Soft-X-Rays and Extreme Ultra-Violate Radiation. Cambridge University Press, Cambridge, UK (2000)

    Google Scholar 

  • Bekefi, G.: Rippled-field magnetron. Appl. Phys. Lett. 40(7), 578 (1982)

    Article  ADS  Google Scholar 

  • Berry, M.V.: Diffraction in crystals at high energies. J. Phys. C Solid State Phys. 4, 697 (1971)

    Article  ADS  Google Scholar 

  • Carmel, Y., Granatstein, V.L., Gover, A.: Demonstration of two-stage backward-wave-oscillator free electron laser. Phys. Rev. Lett. 51, 566 (1983)

    Article  ADS  Google Scholar 

  • Conde, M.E., Bekefi, G.: Experimental study of a 33.3 GHz free electron laser amplifier with a reversal axial guide magnetic field. Phys. Rev. Lett. 67, 3082 (1991)

    Article  ADS  Google Scholar 

  • Destler, W.W., Aghimir, F.M., Boyd, D.A., Bekefi, G., Shefer, R.E., Yin, Y.Z.: Experimental study of millimeter wave radiation from a rotating electron beam in a rippled magnetic field. Phys. Fluids 28(6), 1962 (1985)

    Article  ADS  Google Scholar 

  • Elias, L.R., Fairbank, W.M., Madey, J.M.J., Schwettman, H.A., Smith, T.I.: Observation of stimulated emission of radiation by relativistic electrons in a spatially periodic transverse magnetic field. Phys. Rev. Lett. 36, 717 (1976)

    Article  ADS  Google Scholar 

  • Emma, P., et al.: First lasing and opration of an angstrom-wavelength free-electron laser. Nat. Photonics (2010). doi:10.1038/NPHOTON.2010.176

    Google Scholar 

  • Feinstein, J., Pantell, R.H., Fauchet, A.M.: Prospects for visible and VUV free electron lasers using dielectric resonance. IEEE Trans. Quantum Electr. QE-22, 587 (1986)

    Article  ADS  Google Scholar 

  • Freund, H.P., Johnston, S., Sprangle, P.: Three-dimensional theory of free electron lasers with an axial guide field. IEEE J. Quant. Electron. QE-19, 322 (1983)

    Article  ADS  Google Scholar 

  • Freund, H.P., Antonsen, T.: Principles of Free Electron Lasers. Chapman and Hall, London (1992)

    Book  Google Scholar 

  • Friedland, L.: Electron beam dynamics in combined guide and pump magnetic fields for free electron laser applications. Phys. Fluids 23, 2376 (1980). See also Friedland L., Hirshfield J.L.: Free electron laser with a strong axial magnetic field. Phys. Rev. Lett. 44, 1456 (1980)

    Article  ADS  Google Scholar 

  • Friedman, A., Gover, A., Kurizki, G., Ruschin, S., Yariv, A.: Spontaneous and stimulated emission from quasi-free electrons. Rev. Mod. Phys. 60(2), 471 (1988)

    Article  ADS  Google Scholar 

  • Gover, A.: An analysis of stimulated longitudinal electrostatic bremsstrahlung in a free electron laser structure. Appl. Phys. 23, 295 (1980)

    Article  ADS  Google Scholar 

  • Hasegawa, A.: Free electron laser. Bell Syst. Tech. J. 57, 3069 (1978)

    Google Scholar 

  • Huang, Z., Kim, K.J.: Three-dimensional analysis of harmonic generation in high-gain free-electron lasers. Phys. Rev. E 62, 7295 (2000)

    Article  ADS  Google Scholar 

  • Huang, Z., Ruth, R.: Fully coherent X-ray pulses from a regenerative-amplifier free electron laser. Phys. Rev. Lett. 96, 144801 (2006)

    Article  ADS  Google Scholar 

  • Huang, Z., Kim, K.J.: Review of x-ray free-electron laser theory. Phys. Rev. 10, 034801 (2007)

    ADS  Google Scholar 

  • Kapitza, P.L., Dirac, P.A.M.: The reflection of electrons from standing light waves. Proc. Camb. Phil. Soc. 29, 297 (1933)

    Article  Google Scholar 

  • Kroll, N.M.: The free electron laser as a traveling wave amplifier. In: Jacobs, S.F., Sargent, M., Scully, M.O. (eds.) Novel Sources of Coherent Radiation. Physics of Quantum Electronics, vol. 5, p. 115. Addison Wesley Pub. Corp., Massachusettes (1978)

    Google Scholar 

  • Kroll, N.M., Morton, P.L., Rosenbluth, M.N.: Free-electron lasers with variable wigglers. IEEE Quant. Electron. QE-17, 1436 (1981)

    Article  ADS  Google Scholar 

  • Kuang, E., Davis, T.J., Kerslick, G.S., Nation, J.A., Schächter, L.: Transit time isolation of a high power microwave TWT. Phys. Rev. Lett. 71, 2666 (1993)

    Article  ADS  Google Scholar 

  • Kumakhov, M.A.: On the theory of electromagnetic radiation of charged particles in a crystal. Phys. Lett. A 57, 17 (1976)

    Article  Google Scholar 

  • Lambert, G., Hara, T., Garzella, T., Tanikawa, D., Labat, M., Carre, H., Kitamura, B., Shintake, T., Bougeard, M., Inoue, S., Tanaka, Y., Salieres, P., Merdji, H., Chubar, O., Gobert, O., Tahara, K., Couprie, M.E.: Injection of harmonics generated in gas in a free-electron laser providing intense and coherent extreme-ultraviolet light. Nat. Phys. 4, 296 (2008)

    Article  Google Scholar 

  • Madey, J.M.J.: Stimulated emission of bremsstrahlung in a periodic magnetic field. J. Appl. Phys. 42, 1906 (1971)

    Article  ADS  Google Scholar 

  • Madey, J.M.J.: Relationship between mean radiated energy, mean square radiated energy and spontaneous power spectrum in a power series expansion of the equations of motion in a free electron laser. Il Nuovo Cimento 50B(1), 64 (1979)

    ADS  Google Scholar 

  • Marinelli, A., Pellegrini, C., Giannessi, L., Reiche, S.: Comparative study of nonideal beam effects in high gain harmonic generation and self-seeded free electron lasers. Phys. Rev. Spec. Top. Accel. Beams 13, 070701 (2010)

    Article  ADS  Google Scholar 

  • Marshall, T.C.: Free Electron Lasers. Macmillan Pub. Comp, New York (1985)

    Google Scholar 

  • McMullin, W.A., Bekefi, G.: Coherent radiation from a relativistic electron beam in a longitudinal periodic magnetic field. Appl. Phys. Lett. 39(10), 845 (1981)

    Article  ADS  Google Scholar 

  • McMullin, W.A., Bekefi, G.: Stimulated emission from relativistic electrons passing through a spatially periodic longitudinal magnetic field. Phys. Rev. A 25(4), 1826 (1982)

    ADS  Google Scholar 

  • Motz, H.: Applications of the radiation from fast electron beams. J. Appl. Phys. 22, 527 (1951)

    Article  ADS  MATH  Google Scholar 

  • Pantell, R.H., Soncini, G., Puthoff, H.E.: Stimulated photon-electron scattering. J. Quant. Electron. QE-4, 905 (1968)

    Article  ADS  Google Scholar 

  • Pantell, R.H., Alguard, M.J.: Radiation characteristics of planar channeled positrons. J. Appl. Phys. 50, 798 (1979)

    Article  ADS  Google Scholar 

  • Pantell, R.H., Feinstein, J., Fisher, A.L., Deloney, T.L., Reid, M.B., Grossman, W.M.: Benefits and costs of the gas-loaded free electron laser. Nucl. Instrum. Methods Phys. Res. A 250, 312 (1986)

    Article  ADS  Google Scholar 

  • Phillips, R.M.: The Ubitron, a high power traveling wave tube based on a periodic beam interaction in unloaded waveguide. Trans. IRE Electron Dev. 7, 231 (1960)

    Article  ADS  Google Scholar 

  • Roberson, C.W., Sprangle, P.: A review of free-electron lasers. Phys. Fluids B1, 3 (1989)

    ADS  Google Scholar 

  • Saldin, E., Schneidmiller, E., Yurkov, M.: Properties of the third harmonic of the radiation from self-amplified spontaneous emission free electron laser. Phys. Rev. Spec. Top. Accel. Beams 9, 030702 (2006)

    Article  ADS  Google Scholar 

  • Schächter, L.: Relativistic quantum mechanical analysis of a free electron laser. J. Appl. Phys. 61(8), 2718–2728 (1987)

    Article  ADS  Google Scholar 

  • Schächter, L.: Remarks on channeling radiation. J. Appl. Phys. 63, 712 (1988)

    Article  ADS  Google Scholar 

  • Scharlemann, E.T., Sessler, A.M., Wurtele, J.S.: Optical guiding in free electron laser. Phys. Rev. Lett. 54(17), 1925 (1985)

    Article  ADS  Google Scholar 

  • Schmüser, P., Dohlus, M., Rossbach, J.: Ultraviolet and Soft Xray Free Electron Lasers: Introduction to Physical Principles, Experimental Results and Technical Challanges. Springer-Verlag, Heidleberg, Germany (2008)

    Google Scholar 

  • Sprangle, P., Ting, A., Tang, C.M.: Radiation focusing and guiding with application to the free electron laser. Phys. Rev. Lett. 59, 202 (1987)

    Article  ADS  Google Scholar 

  • Stupakov, G.: Using the beam-echo effect for generation of short-wavelength radiation. Phys. Rev. Lett. 102, 074801 (2009)

    Article  ADS  Google Scholar 

  • Swent, R.L., Pantell, R.H., Alguard, M.J., Berman, B.L., Bloom, S.D., Datz, S.: Observation of channeling radiation from relativistic electrons. Phys. Rev. Lett. 43, 1723 (1979)

    Article  ADS  Google Scholar 

  • Terhune, R.W., Pantell, R.H.: X-ray and γ-ray emission from channeled relativistic electrons and positrons. Appl. Phys. Lett. 30, 265 (1977)

    Article  ADS  Google Scholar 

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Correspondence to Levi Schächter .

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Schächter, L. (2011). Free-Electron Laser. In: Beam-Wave Interaction in Periodic and Quasi-Periodic Structures. Particle Acceleration and Detection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19848-9_7

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  • DOI: https://doi.org/10.1007/978-3-642-19848-9_7

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