Summary
The relationship between the axial spontaneous emission and the laser gain is obtained by means of quantum field theory. Using the relationship, the spontaneous two-quantum Stark emission in the beam direction by a relativistic electron beam and in an electrostatic wave propagating in the antiparallel direction of the electron beam («electric wiggler») is derived from the laser gain by the stimulated free-electron two-quantum Stark emission. It is found that the spontaneous-emission power per unit solid angle in the axial direction scales as
, whereE b is the beam energy and
andλ ω are the field amplitude and wiggler wavelength of the electric wiggler, respectively.
References
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Kim, S.H. Quantum field theoretical relationship between the axial spontaneous emission and the laser gain, and its application to the free-electron two-quantum stark-emission laser. Nuov Cim B 107, 605–610 (1992). https://doi.org/10.1007/BF02723637
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DOI: https://doi.org/10.1007/BF02723637