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We perform an analytical investigation of modulational interaction of an electromagnetic pump wave in a transversely magnetized weakly polar semiconductor plasma medium. Based on the hydrodynamic model, a critical examination of frequency modulational amplification is made in a moderately doped III–V semiconductor crystal (n-GaAs) duly shined by pulsed 10.6 µm CO2laser. The effect of electron-LO phonon interaction and coupled magnetoplasma excitations on the nonlinear interaction of a laser beam adds new dimension to the analysis. Steady state and transient gain coefficients, threshold pump intensity and optimum-pulse duration for the onset of modulational instability are estimated. The paper concentrates on the study of gain characteristics mainly in transient region. Effect of doping and applied magnetic field on the threshold pump intensity and growth rate has been significantly analysed. Graphical analysis interprets strong dependence of transient amplification characteristics on these parameters. So a judicious choice of physical parameters may develop growth at much lower pump intensity improving the cost effectiveness of the system. These results may help to be important for understanding and improving the performance of modulator.

In polar semiconductor materials, LO phonons produce a macroscopic electric field, which interacts with the electrons. This coupling of long range is known as Frohlich interaction. Due to the interaction of an electron with LO phonons, a quasi-particle is formed known as polaron. The strength of this coupling is expressed by a dimensionless Frohlich coupling constant. Due to the polar coupling to LO phonons, the carriers lose their initial kinetic energy to the lattice by a very efficient relaxation mechanism in III-V bulk semiconductors. Therefore it would be interesting to examine the effect of Frohlich coupling constant on the operational characteristics of optical parametric interaction in compound semiconductor medium. Using hydrodynamic model and coupled mode theory, a theoretical model is developed to determine threshold pump field for the onset of parametric process. For the sake of numerical estimations, data of ZnS and GaAs have been used. These prominent materials are assumed to be shined by a 10.6 μm CO2 laser so that nonlinearity could be induced in the medium. It is found that material having lower coupling constant is beneficial for a cost effective parametric interaction. It is hoped that result of this paper may be useful for various industrial applications.