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International Journal of Modern Physics B

OPTICAL PROPERTIES OF A GaAs PYRAMID QUANTUM DOT: SECOND- AND THIRD-HARMONIC GENERATION

Hossein Bahramiyan, Reza Khordad

Published Jan 28, 2014• 19 citations
Publisher

Abstract

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.

DOI
10.1142/s0217979214500532

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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.
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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.
In this work, the energy levels and wave functions of the pyramidal quantum dot (PQD) are numerically calculated using the finite element method. Then, the refractive index changes (RICs) and absorption coefficients (ACs) are determined. To this goal, we have used the compact-density matrix method. Numerical results have been presented for the GaAs/Al[Formula: see text]Ga[Formula: see text]As pyramid quantum dot. It is found that the change of structural parameters like quantum dot sizes has an important influence on energy levels, wave functions, and optical properties of PQD. With increasing the height of PQD, the Acs, and RICs increase and shift toward higher energies.
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.