Optical mixing in InSb

Abstract

In this paper, the authors have derived the expression for the combination frequency components ω₃ = 2ω₁-ω₂ in the current density by solving the appropriate Boltzmann transfer equation for electrons, when two laser beams of frequencies of ω₁ and ω₂ are incident on a degenerate nonparabolic semiconductor viz. InSb; the nonlinearity due to collision mechanism as well as the nonparabolicity of conduction band has been taken into account. The ionized impurity scattering has been considered to be the sole mechanism of electron scattering. The expression for the current density is further substituted in the wave equation to obtain the expression for the amplitude of combination frequency wave in the transmitted component. The calculated value of output power of frequency ω₂ is found to be 1/10th of the experimental value (Patel, Slusher and Fleury, 1966), ⁽⁷⁾ and thus is in better agreement as compared to earlier investigators (Wolff and Pearson, 1966; Kaw, 1968). ^{(5, 10)}