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EN
Using the straightforward coupled-mode theory, the parametric amplification is analytically investigated in magnetized piezoelectric as well as non-piezoelectric semiconductors. The origin of nonlinear interaction is taken to be in the second-order optical susceptibility χ^{(}2) arising from the nonlinear induced current density. The threshold value of the pump electric field E_{0th} is obtained for crystals. E_{0th} is found to decrease with the rise in magnetic field and fall with the rise in scattering angle. Parametric gain constants are obtained for different situations of practical interest, i.e. (i) for piezoelectric coupling only g_{p}, (ii) for deformation potential coupling only g_{d}, (iii) for both the couplings g_{b}. Numerical investigations reveal that the magnetic field increases the gain. Maximum gains are obtained for backward scattered mode. g_{d} is always found to be less than g_{p} and g_{b}. It is also found that g_{p} and g_{b} both are identical up to k ≈ x 10^{7}m^{-1} and for k ≥ 3 x 10^{7}m^{-1}, g_{b} exceeds g_{p}.
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