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Chinese Journal of Quantum Electronics

Influence of the depolarization effect on the third-harmonic generation

Peng Chang-ning

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The influence of the depolarization effect on the third-harmonic generation spectrum in an asymmetric semi-parabolic quantum well is studied.A concise formulation of the third- harmonic generation is presented.The calculation of a semi-parabolic quantum well shows that triply resonance is destroyed by the depolarization effect and original triply resonance peak is replaced by one double resonance and one single peak.

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The influence of the depolarization effect on the third-harmonic generation spectrum in an asymmetric semi-parabolic quantum well is studied.A concise formulation of the third- harmonic generation is presented.The calculation of a semi-parabolic quantum well shows that triply resonance is destroyed by the depolarization effect and original triply resonance peak is replaced by one double resonance and one single peak.
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Third-order optical nonlinearities in semi-parabolic quantum wells are studied. The third-harmonic generation coefficient is obtained by using compact-density-matrix approach and iterative method, and the numerical results are presented for spical semi-parabolic quantum wells. The very large third-harmonic-generation coefficient is obtained in this semi-parabolic quantum wells and it is over 10 times bigger than that obtained in parabolic quantum wells. In addition, the relations among the third-harmonic-generation coefficient, the photons energy, the parabolic confinement frequency, and the relaxation constant are also investigated, respectively.
Within the framework of the compact density matrix approach, the third-harmonic generation (THG) in an electric-field-biased semi-parabolic quantum well (QW) has been deduced and investigated. Via variant of displacement harmonic oscillation, the exact electronic states in the semi-parabolic QW with an applied electric field have also been obtained and discussed. Numerical results on typical GaAs material reveal that, electric fields and confined potential frequency of semi-parabolic QW have obvious influences on the energy levels of electronic states and the THG in the semi-parabolic QW systems.
Within the framework of the compact density matrix approach, the third-harmonic generation (THG) in an electric-field-biased semi-parabolic quantum well (QW) has been deduced and investigated. Via variant of displacement harmonic oscillation, the exact electronic states in the semi-parabolic QW with an applied electric field have also been obtained and discussed. Numerical results on typical GaAs material reveal that, electric fields and confined potential frequency of semi-parabolic QW have obvious influences on the energy levels of electronic states and the THG in the semi-parabolic QW systems.
The effect of the depolarization field on the doubly resonant frequency mixing due to resonant intersubband transitions in asymmetric quantum wells, with only the ground subband occupied, is discussed. Calculations are performed in the framework of the perturbative density matrix formulation with relaxation time approximation. The results show that in the considered system the depolarization effect can be included by simple replacement (in the one-electron expression for the nonlinear susceptibility) of the intersubband energy by the depolarization shifted intersubband energy.