Optical transition radiation in presence of acoustic waves for an oblique incidence

Abstract

Forward transition radiation is considered in an ultrasonic superlattice excited in a finite thickness plate under oblique incidence of relativistic electrons. We investigate the influence of acoustic waves on both the intensity and polarization of the radiation. In the quasiclassical approximation, formulas are derived for the vector potential of the electromagnetic field and for the spectral-angular distribution of the radiation intensity. It is shown that the acoustic waves generate new resonance peaks in the spectral and angular distributions. The heights and the location of the peaks can be controlled by choosing the parameters of the acoustic wave. The numerical examples are given for a plate of fused quartz.

Transition radiation on a superlattice in finite thickness plate generated by two acoustic waves

“…In the special case ∆ε 1 = ∆ε 2 = 0, the only nonzero contribution in (3.2) comes from the term with m 1 = m 2 = 0 and we obtain the transition radiation intensity in a finite thickness plate in the absence of acoustic waves, described in the quasi-classical approximation. The comparison with the exact formula in a more general case of oblique incidence has been made in [9] (for the validity of the quasi-classical approximation see also [1]). In the absence of acoustic waves, the location of the corresponding angular peak is obtained from (3.6) putting m 1 = m 2 = 0.…”

“…In [7], it has been suggested to use ultrasonic waves for the generation of a periodic structure in the radiator of X-ray transition radiation. The optical transition radiation on a plate, in the presence of acoustic waves, is investigated in [8] and [9] for the cases of normal and oblique incidence of the radiating particle. The transition radiation on a dynamic periodic interface between two dielectric media has been recently discussed in [10].…”

Radiation processes on acoustic superlattices

“…The spectral angular density of the forward transition radiation intensity in the angular region sin θ < ε 0 /ε 1 is presented in the form [12,13]…”

“…The values of the other parameters are the same as for figure 2. Further details with numerical analysis for oblique incidence can be found in [12,13] The features for X-ray transition radiation emitted by ultrarelativistic electrons on an ultrasonic superlattice in fused quartz plate have been discussed in [10] for the normal incidence of the radiating charge. The corresponding conditions for the radiation amplification are specified.…”

“…The values of the other parameters are the same as for figure 2. Further details with numerical analysis for oblique incidence can be found in[12,13].…”