正切平方势阱中线性与非线性光学折射率变化的研究

利用正切平方势把电子的Schrodinger方程化为了超几何方程，并用超几何函数严格求解了电子的本征值和本征函数利用量子力学中的密度矩阵算符理论导出了正切平方势阱中的线性与三阶非线性光学折射率的解析表达式计算了该系统中的线性与非线性光学折射率变化的大小，讨论了影响折射率变化因素文章以典型的GaAs/AlGaAs势阱为例作了数值计算,数值计算结果表明，势阱的形状和入射光强对光学折射率的变化有着重要的影响.

Linear and Nonlinear Refractive Index Changes in Square Tangent Quantum Well

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.