Linear and Nonlinear Refractive Index Changes in Square Tangent Quantum Well
正切平方势阱中线性与非线性光学折射率变化的研究

In the frame of quantum mechanics, the equation to describe the particle motion in Tan^2x quantum well is reduced to the hypergeometric equation. The eigenvalue and the eigefunction are obtained by solving the Schroedinger equation. Analytical expressions of linear and the third-order nonlinear optical refractive index changes are obtained in Tan^2x quantum well using the density matrix formalism taking into account the intrasuhhand relaxation. The linear and the third-order nonlinear refractive index changes are calculated. The results show that the refractive index changes depend on the shape of the well, the tunnel handwith and the optical intensity. Numerical results are presented for a typical GaAs/AlGaAs Tan^2x quantum well.