Abstract
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 Open image in new window , whereEb is the beam energy and Open image in new window andλω are the field amplitude and wiggler wavelength of the electric wiggler, respectively.
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