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Stimulated electromagnetic shock radiation: classical second-order calculations.

By performing classical, relativistic, second-order calculations we have shown that simulated electromagnetic shock radiation (SESR) is given out as an enormously amplified, exponentially growing, frequency upshifted, highly directional coherent electromagnetic radiation. We have derived expressions specifying the electric field components of SESR in the most compact and readable form. Hence we have calculated the field amplitudes of SESR for different sets of external controlling parameters and plotted some typical results in the most sensitive region, viz., very near the threshold of superphase motion. We have also shown the variation of SESR with respect to external parameters graphically. The results obtained are of importance in achieving a tunable source of coherent radiation in the frequency region not covered by existing sources.