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In this chapter, we explore the influence of structural parameters (inner dot radius and barrier width), hydrostatic pressure, and temperature on the nonlinear optical rectification (NOR) in \(GaAs/GaAlAs\) multilayer spherical quantum dots (MSQDs). We also examine the NOR and second-harmonic generation (SHG) coefficients in \(GaAs/AlGaAs\) spherical MLQDs under Kratzer potential confinement. Using the effective mass approximation and the finite element method, we calculate the eigenvalues and eigenfunctions of various quantum states. The results indicate a strong dependence of the OR resonance peak on geometry and external perturbations. Additionally, conduction band non-parabolicity and polaronic mass significantly impact the NOR. The potential depth ( \(N\) ) and minimum point ( \(R_{0}\) ) also critically influence optical responses, leading to blue or red shifts in NOR peaks. Notably, the \(2s{-}2p\) transition exhibits distinct photon-energy behavior. These findings offer insights for advancing theoretical and experimental research in nanostructure-based nonlinear optics.

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The Nonlinear Optical Rectification Coefficient in a MSQD: Effects of External Perturbation and the Kratzer Confinement Potential

  • 章节

  • 发表日期：

    2026年

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  • A. Fakkahi,
  • M. Jaouane,
  • H. Azmi,
  • A. Ed-Dahmouny,
  • A. Sali,
  • R. Arraoui,
  • K. El-Bakkari,
  • O. Ben Hammou,
  • S. El Otmani,
  • J. El-Hamouchi,
  • M. Jaafar,
  • A. Mazouz,
  • H. El-Ghazi

摘要

In this chapter, we explore the influence of structural parameters (inner dot radius and barrier width), hydrostatic pressure, and temperature on the nonlinear optical rectification (NOR) in \(GaAs/GaAlAs\) multilayer spherical quantum dots (MSQDs). We also examine the NOR and second-harmonic generation (SHG) coefficients in \(GaAs/AlGaAs\) spherical MLQDs under Kratzer potential confinement. Using the effective mass approximation and the finite element method, we calculate the eigenvalues and eigenfunctions of various quantum states. The results indicate a strong dependence of the OR resonance peak on geometry and external perturbations. Additionally, conduction band non-parabolicity and polaronic mass significantly impact the NOR. The potential depth ( \(N\) ) and minimum point ( \(R_{0}\) ) also critically influence optical responses, leading to blue or red shifts in NOR peaks. Notably, the \(2s{-}2p\) transition exhibits distinct photon-energy behavior. These findings offer insights for advancing theoretical and experimental research in nanostructure-based nonlinear optics.