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Optics and Spectroscopy

Optical properties of a GaAs cone-like quantum dot: Second and third-harmonic generation

Reza Khordad, Hossein Bahramiyan

Published Sep 1, 2014• 28 citations
Publisher

Abstract

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.

DOI
10.1134/s0030400x14080165

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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.
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.
The second harmonic generation (SHG) and third harmonic generation (THG) into a cylindrical quantum dot (CQD) with asymmetric confinement potential is studied theoretically within the framework the two-level atom approximation, by using the matrix density formalism. The energy levels and waves functions of an electron into CQD they were obtained by solving the time-independent Schrodinger equation. The numerical calculations make for a CQD of GaAs/GaAlAs. It was found that the increase in the confinement of the charge carriers produced by the increase of the magnetic field and/or the dimensions of the nanostructure generates a shift to blue in the transition energies of the electrons. Also a multiple resonances in the two-level atom approximation was found. These were associated with transition between excited state and ground state and a second transition getting a change permanent dipole moment.For the English version of the abstract, please be careful with the language.
Abstract In the current work, we have studied the second and third harmonic generation in asymmetrical Gaussian potential quantum dot subjected to the applied electric field. To do this, confined wave function together with energies of electron in an effective mass approximation framework were obtained. Apply these, the analytic expression for the second- and third harmonic generation are determined using a compact density matrix approach and an iterative procedure. According to the results, it is found that applying an electric field, enhances the peak values of the second- and third harmonic generation and redshifts the peak position of their spectrum. Our calculations indicate that increases the radius of quantum dot causes enhances the values of -harmonic generation and redshifts the peak positions of photon energy. It means by optimizing the confinement potential, the maximum –harmonic generation can be obtained. It should be noted that the structural parameters have a significant effect on the –harmonic generation in the considered system.
In this paper, we have studied the effect of electron–phonon (e–p) interaction on the second harmonic generation (SHG) and third harmonic generation (THG) of modified Gaussian quantum dots within the framework of the compact density matrix approach and iterative method. We have obtained the energy eigenvalues and their corresponding eigenfunctions of the system without e–p interaction and under the influence of electron–LO phonon, electron–SO phonon, and electron–LO + SO phonon interaction. It is found that the effect of the electron–phonon interaction has a great influence on the second and third harmonic generation of the system. The effect of electron–SO phonon on the SHG and THG is greater than the electron–LO phonon. The electron–LO + SO-phonon interaction has the largest contribution to the SHG and THG.
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.
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.