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Third‐order nonlinear optical properties of parabolic and semiparabolic quantum wells

A detailed procedure for the calculation of the third‐harmonic‐generation susceptibility tensor is given in parabolic and semiparabolic quantum wells, and an analytic formula for the third‐harmonic‐generation susceptibility is obtained by the compact density matrix approach and an iterative procedure. Finally, numerical results are presented for typical GaAs/AlGaAs parabolic and semiparabolic quantum wells. The calculated results show that the third‐harmonic‐generation susceptibilities in parabolic quantum wells are over one order of magnitude greater than in semiparabolic quantum wells, and are over eight orders of magnitude greater than in bulk GaAs. In addition, the third‐harmonic‐generation susceptibilities are related to the parabolic confinement frequency and the relaxation rate.