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Journal of Guangzhou University

Study of third harmonic generation in quantum wells with a new potential

Guo Kang-xia

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

The third harmonic generation coefficients( THG) in quantum wells with a new potential are studied theoretically. We obtain eigenfunctions and energy eigenvalues by means of solving Schrodinger equation within the framework of effective mass approximation method. The analytic expressions of the third-harmonic generation coefficients can be got using the compact-density-matrix approach and iterative method. It is found that the THG coefficients are affected by the width of the quantum well d and the parameter U0.

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Abstract In this theoretical work, we investigate how external fields like as electric, magnetic, and intense laser fields, as well as structural factors, affect the third harmonic generation (THG) coefficient of an AlGaAs/GaAs Manning-like double quantum well heterostructure. To achieve our goals, we numerically solve the time-independent Schrödinger equation using the diagonalization approach with the effective mass approximation and then derive the subband energy levels and corresponding wave functions of the structure. After that, we derive the mathematical expression of the THG coefficient by using the compact density matrix method. According to our results, the resonance peaks of the THG coefficient show shifting to the high-energy region with an increase in the field’s magnitude in cases where external fields (electric, magnetic, and intense laser) are applied separately. At the same time, increasing the depth (width) of the quantum well structure causes the THG peaks to shift to the high (low) energy region. We believe that the findings from this search will have a substantial impact on existing experimental device designs and applications.

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Chinese Journal of Quantum Electronics•Jan 1, 2011•0 citations
The third harmonic generation coefficients( THG) in quantum wells with a new potential are studied theoretically. We obtain eigenfunctions and energy eigenvalues by means of solving Schrodinger equation within the framework of effective mass approximation method. The analytic expressions of the third-harmonic generation coefficients can be got using the compact-density-matrix approach and iterative method. It is found that the THG coefficients are affected by the width of the quantum well d and the parameter U0.
Abstract In this theoretical work, we investigate how external fields like as electric, magnetic, and intense laser fields, as well as structural factors, affect the third harmonic generation (THG) coefficient of an AlGaAs/GaAs Manning-like double quantum well heterostructure. To achieve our goals, we numerically solve the time-independent Schrödinger equation using the diagonalization approach with the effective mass approximation and then derive the subband energy levels and corresponding wave functions of the structure. After that, we derive the mathematical expression of the THG coefficient by using the compact density matrix method. According to our results, the resonance peaks of the THG coefficient show shifting to the high-energy region with an increase in the field’s magnitude in cases where external fields (electric, magnetic, and intense laser) are applied separately. At the same time, increasing the depth (width) of the quantum well structure causes the THG peaks to shift to the high (low) energy region. We believe that the findings from this search will have a substantial impact on existing experimental device designs and applications.
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.
In the present work, we have studied the second-harmonic generation (SHG) and third-harmonic generation (THG) in a pyramid quantum dot. For this purpose, we first obtain the energy levels and wavefunctions of this system. Then, we have used an analytic expression for the SHG and THG by a compact density matrix approach and an iterative procedure. The SHG and THG enhance and shift to lower energies by increasing the height (h) and vertex angle (φ). According to the results, it is found that the structural parameters have great influence on the SHG and THG of a pyramid quantum dot.
In the present work, we have studied numerically the second harmonic generation (SHG) and third harmonic generation (THG) in a cone-like quantum dot. For this purpose, we firstly obtained the energy levels and wave functions of this system. Then, we have used an expression for the SHG and THG by a compact density matrix approach and an iterative procedure. The SHG and THG enhance and shift toward lower energy by increasing the height h and vertex angle α. According to the results it is found that the structural parameters have great influence on the THG in this system.
Exciton effects on the third-harmonic generation in GaAs/AlGaAs infinite and finite square quantum wells are calculated within the framework of the fractional-dimensional space approach.The wave functions and bound energies are obtained as functions of spatial dimensionality and the dimension is a function of the well width.For an infinite confining potential the dimension(D) has a transition from the 3D limit to 2D limit when the well width decreases.However,in a finite well,when the well width decreases below a given value,the dimension increases.The analytical expression of the third-harmonic generation is described using the compact density method and the iterative procedure.The numerical results show that the third-harmonic generation coefficient with considering exciton effects is 40%greater than the one without considering exciton effects and it is very sensitively dependent on the exciton confinement.In addition,the smaller the relaxation constant is,the larger the third-harmonic generation will be.