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Journal of Nanoelectronics and Optoelectronics

Polaron Effects on the Intersubband Optical Absorption Coefficient and Refractive Index Changes of an Infinite Confining Potential Quantum Box

G. Rezaei, M.R.K. Vahdani, M. Barati

Published Jul 1, 2008• 21 citations
Publisher

Abstract

In this work, The effects of electron-phonon interaction on the linear and nonlinear optical absorption coefficients and refractive index changes are investigated theoretically. In this regard the compact-density matrix approach and iterative methods are employed and the optical absorption coefficients and refractive index changes of a GaAs quantum box are obtained. The results show that the magnitude of these quantities are enhanced, the peaks are shifted to the higher energies and the width of the peaks becomes larger as the influence of electron-phonon interaction is considered.

DOI
10.1166/jno.2008.208

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In this work, The effects of electron-phonon interaction on the linear and nonlinear optical absorption coefficients and refractive index changes are investigated theoretically. In this regard the compact-density matrix approach and iterative methods are employed and the optical absorption coefficients and refractive index changes of a GaAs quantum box are obtained. The results show that the magnitude of these quantities are enhanced, the peaks are shifted to the higher energies and the width of the peaks becomes larger as the influence of electron-phonon interaction is considered.
The electron-phonon interaction influences on linear and nonlinear optical absorption in cylindrical quantum wires (CQW) with an infinite confining potential are investigated. The optical absorption coefficients are obtained by using the compact-density-matrix approach and iterative method, and the numerical results are presented for GaAs CQW. The results show that the electron-phonon interaction makes a distinct influence on optical absorption in CQW. The electron-phonon interaction on the wave functions of electron dominates the values of absorption coefficients and the correction of the electron-phonon effect on the energies of the electron makes the absorption peaks blue shift and become wider. Moreover, the electron-phonon interaction influence on optical absorption with an infinite confining potential is different from that with a finite confining potential.
The optical absorptions coefficients with considering the electron-phonon interaction were theoretically studied in square tangent quantum wells.The wave functions and energy levels are described in square tangent quantum wells by perturbation theory when the polaron effects were considered,and analytic expression for the linear and the third-order nonlinear optical absorption coefficients was obtained by the compact density-matrix method and the iterative procedure.The numerical results for typical GaAs/AlGaAs material showed that the electron-phonon interaction had great influence on the linear,nonlinear and total optical absorption,meanwhile the absorption saturation phenomenon was more obvious than the one without considering the polaron effects.Moreover,the changes of the total optical absorptions increased with the well width b decreasing or the well depth V0 increasing when the electron-phonon interaction was considered.
Analytical expressions of the optical absorption coefficients and refractive index changes in a two-electron quantum dot with oscillating and linear confining terms are obtained by using compact-density matrix approach and exact analytical method. Numerical results on typical GaAs/AlGaAs materials show that, an increase of the confinements blueshifts the peak positions of absorption coefficients and refractive index changes. Additionally, an increase of the optical intensity and relaxation time considerably changes the absorption coefficients as well as the refractive index changes.
Abstract In this paper, the intersubband optical absorption coefficients and the refractive index changes are studied in a V‐groove quantum wire. We use analytical expressions for these properties obtained by the compact‐density matrix formalism. In this regard, the linear, nonlinear and total intersubband absorption coefficients and refractive index changes are investigated as a function of the bend width wire (b), the incident optical intensity (I), and the angle θ. According to the results obtained from the present work, it is deduced that: (i) The linear terms in the refractive index changes and absorption coefficients dose not change with incident optical intensity whereas nonlinear terms depend on incident optical intensity; (ii) The total refractive index changes and the absorption coefficients reduce as the incident optical intensity increases; (iii) The total absorption coefficient and refractive index changes increase and also shift toward higher energies as the bend width wire increases; and (iv) The total refractive index changes and absorption coefficients shift toward higher energies as the angle θ increases.
Intersubband optical absorption coefficient and refractive index changes of a weakly prolate ellipsoidal quantum dot, using the compact-density matrix formalism and iterative method, are investigated. In this regard, the linear and nonlinear intersubband optical absorption coefficient and refractive index changes of a GaAs / Al x Ga 1-x As ellipsoidal quantum dot, as functions of the dot radius, ellipticity constant, stoichiometric ratio and incident light intensity are calculated. The results indicate that absorption coefficient and refractive index changes strongly depend on the light intensity, size and geometry of the dot and structure parameters such as aluminium concentration in GaAs / Al x Ga 1-x As structures.
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)