We investigated the excitation of terahertz (THz) surface magneto plasmons(SMPs) by nonlinear mixing of laser and its frequency shiftedsecond harmonic on a rippled surface of n-type semiconductor-free spaceinterface. Obliquely incident p-polarized lasers exert a nonlinear ponderomotiveforce on free electrons of n-type semiconductor. Nonlinearponderomotive force induce the oscillatory velocities at frequencies 2ω1and (ω1 −ω2). These oscillatory velocities beat the modulated electrondensity nq to get the charge density perturbation at (2ω1, 2k1z + q)and (ω1 − ω2, k1z − k2z + q). Perturbed charge density couples withthe linear oscillatory velocities to produce a nonlinear current density,which resonantly derives THz SMPs at frequency ω = 2ω1 − ω2 andpropagation constant kz = 2k1z − k2z + q. Here, q provides theextra wave number for the phase matching condition. The efficiencyof THz SMPs wave attained up to 9% and amplitude of THz SMPscontrolled by the electron cyclotron frequency ωce and incident angle θ.
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