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Second and third harmonic generation of asymmetrical Gaussian potential quantum dot

Ahmad Ghanbari, Raziyeh Birooni

Published Mar 29, 2022• 0 citations
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Abstract

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.

DOI
10.21203/rs.3.rs-1472994/v1

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We theoretically investigate the optical absorption coefficient (OAC) in asymmetrical Gaussian potential quantum dots subject to an applied electric field. Confined wave functions together with energies of electron energies in an effective mass approximation framework are obtained. The OAC is expressed according to the iterative method and the compact-density-matrix approach. Based on our results, OAC is sensitively dependent on external electric field together with the incident optical intensity. Additionally, peak shifts into greater energy as the quantum dot radius decrease. Moreover, the parameters of Gaussian potential have a significant influence on the OAC.
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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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.
Abstract In this paper, the effects of external electric, magnetic and non-resonant intense laser fields on the nonlinear optical rectification (NOR), second-harmonic (SH), and third-harmonic (TH) generation in a GaAs quantum well with asymmetrical Gaussian potential are theoretically investigated. Firstly, the energy eigenvalues and eigenfunctions of a single electron confined in the structure are obtained by using the diagonalization method within the framework of the effective-mass and parabolic band approaches. Then, using these energy eigenvalues and eigenfunctions, expressions derived within the compact density matrix approximation has been employed to calculate the coefficients of the nonlinear optical response in the structure. The obtained simulation results show that the influence of the external fields leads to significant changes in the coefficients of nonlinear optical rectification, second and third harmonic generation in the system. As a result, it has been seen that the amplitude and position of the peaks of nonlinear optical rectification, second and third harmonic coefficients can be controlled by changing the applied external fields.
Abstract We study third‐harmonic generation in a quantum well represented by a Pöschl–Teller confining potential under an applied electric field. This potential is well suited for such purposes as it can easily become asymmetrical by a correct choice of its parameter set. We calculate the third harmonic generation within the density matrix formalism. Numerical results for a typical GaAs quantum well are presented. We investigate the third‐harmonic generation for several values of asymmetry parameters under small electric fields. It is found to be enhanced with the increasing electric field. While the resulting third‐harmonic generation peak is promising it is still quite smaller than that observed in similar quantum well systems. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)