Stimulated electromagnetic shock radiation characteristics using classical second-order calculations

We have investigated the characteristics of stimulated electromagnetic shock radiation (SESR) by using classical, second-order, relativistic calculations. We have derived very compact analytical expressions specifying the electric field components of SESR, which are quite suitable for numerical estimation. We have used, here, a more exact method for solving Lorentz force equations. We have evaluated all the frequency integrals by explicitly imposing the conditions contained in them. Hence we have estimated the SESR effect in different possible physical situations. We have studied, in detail, the important characteristics of SESR, such as frequency up-shift, amplification, energy output and tunability. We have calculated the numerical values of its electric field components and also its output power and frequency. We have shown that very near to the threshold of superphase motion SESR contains two components of frequency 2Ω and 4Ω, which we have named, respectively, SESR-2Ω and SESR-4Ω. The SESR-2Ω is found to be stronger than the SESR-4Ω, with power output ∼106 times that of SESR-4Ω. Each of these components is seen to be monochromatic, highly up-shifted in frequency as compared to the incident laser-frequency ο0 (103 < Ω/ο0 < 109), highly directional, enormously amplified giving power amplification ∼(1027 to 1044) as compared to the Cherenkov radiation (that may be emitted in the absence of the laser, but under the same other conditions), coherent electromagnetic radiation which is also tunable. Because of all these interesting characteristics, SESR may be of use for the generation of high frequency coherent electromagnetic radiation such as x-ray or gamma-ray