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Chinese Journal of Physics

Linear and Nonlinear Intersubband Refractive Index Changes in Asymmetric Coupled Quantum Wells

Bin Chen, Kangxian Guo, Ruizhen Wang, Yunbao Zheng, Bin Li

Published Jun 1, 2009• 6 citations
OpenAlex

Abstract

Linear, nonlinear, and total refractive index changes are investigated theoretically in asymmetric coupled quantum wells. The analytical expressions for the linear and third-order nonlinear refractive index changes are obtained based on the density matrix method and the iterative approach. Numerical calculations are performed for typical GaAs/Al(subscript x)Ga(subscript 1-x)As asymmetric coupled quantum wells. The calculated results reveal that a large variation of the refractive index near the transition energy can be obtained in asymmetric coupled quantum wells, and that the incident optical intensity and the structure parameters, such as the barrier width and the right-well width, have great effects on the total refractive index changes.

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Linear, nonlinear, and total refractive index changes are investigated theoretically in asymmetric coupled quantum wells. The analytical expressions for the linear and third-order nonlinear refractive index changes are obtained based on the density matrix method and the iterative approach. Numerical calculations are performed for typical GaAs/Al(subscript x)Ga(subscript 1-x)As asymmetric coupled quantum wells. The calculated results reveal that a large variation of the refractive index near the transition energy can be obtained in asymmetric coupled quantum wells, and that the incident optical intensity and the structure parameters, such as the barrier width and the right-well width, have great effects on the total refractive index changes.
The linear,nonlinear and total refractive index changes are investigated theoretically in asymmetric double triangular quantum wells.The analytical expressions for the linear and third-order nonlinear refractive index changes are obtained based on the density matrix method and the iterative approach.Numerical calculations are performed for typical GaAs/AlxGa1-xAs asymmetric double triangular quantum wells.The calculated results reveal that a great change of the refractive index can be obtained in the asymmetric coupled quantum wells,and that the incident optical intensity,the structure parameters,and the applied electric field have a great influence on the total refractive index changes.
Based on the density matrix approach and iterative method, we calculated the analytic forms of linear and third-order nonlinear optical absorption coefficients and refractive index changes for symmetric coupled quantum wells (SCQWs) considering a two-level system, and gave the corresponding numerical results. The calculated results show that the optical properties of SCQWs are significantly better than those of asymmetrically coupled quantum wells, and the optical absorption coefficient and refractive index change are affected by the structure parameters of the SCQWs and the incident optical intensity. Their physical mechanisms are elucidated.
Analytical expressions of linear and third-order nonlinear optical refractive index changes are obtained in Poschl-Teller well using the density matrix formalism taking into account the intrasubband relaxation. Since there are two adjustable parameters κ and λ in the Poschl-Teller well, the shape of the wells will change with the change of the parameters κ and λ, accordingly the linear and the third-order nonlinear refractive index will change with the parameters κ and λ. It is shown that the refractive index changes depends on the shape of the well, the tunnel bandwidth and the optical power. Numerical results are presented for a typical GaAs/AlGaAs Poschl-Teller well.
In this article, we have investigated the optical properties of intersubband transitions in an asymmetric AlGaAs/GaAs coupled quantum wells system. We solved the Schrödinger equation numerically using homemade finite difference codes to determine the electronic structure. The susceptibilities were calculated in frame of density matrix equations. The effect of relative phase variation between applied fields, on the linear absorption coefficients, relative refractive index changes, and group velocity has been investigated. The results show that the linear optical properties are extremely phase-dependent. By adjusting the phase, it is possible to obtain absorption curves with dispersion-like profile and vice versa.
Abstract Analytic forms of the changes of the absorption and refractive index associated with intersubband optical transitions in a quantum box are obtained by using the compact density matrix approach. Numerical results are presented for a typical AlGaAs/GaAs quantum box system. The linear, third‐order nonlinear, and total refractive‐index and absorption changes are examined as a function of the incident optical intensity. The results obtained show that the incident optical intensity has a great effect on the total absorption and refractive‐index changes. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
The refractive index changes near the absorption edge in semiparabolic quantum wells are examined as a function of the incident optical intensity, and an analytic formula for the changes in the refractive index is obtained by using the compact-density matrix approach and an iterative method. Numerical results are presented for some typical AlGaAs/GaAs quantum wells. The calculated results show that the incident optical intensity and the semiparabolic confinement frequency have a great influence on the total refractive index changes.