Effects of applied external fields on the nonlinear optical rectification, second, and third-harmonic generation in an asymmetrical semi exponential quantum well

Sayrac, M.

doi:10.1007/s11082-021-03425-6

Cited by 28 publications

(7 citation statements)

References 60 publications

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“…The analytical expression of the THG of spherical QDs can be obtained through using density matrix formalism and iterative methods. In our article, the THG coefficient relation takes the following form [ 31–33 ]

χ_{3 ω}^{false(3 false)} = \frac{e^{4} σ_{ν}}{ε_{0} {italicħ}^{3}} \frac{M_{01} M_{12} M_{23} M_{30}}{false(ω ‐ ω_{10} + i Γ_{10} false) false(ω ‐ ω_{20} + i Γ_{20} false) false(ω ‐ ω_{30} + i Γ_{30} false)}

where ω ij = ( E i − E j )/ ħ is transition frequency, σ v is the density of electrons in the QDs,

M_{i j} = | ⟨ ψ_{j} | z | ψ_{i} ⟩ |

is the off‐diagonal matrix, Γ ij denotes relaxation rate, and ε 0 is the vacuum permittivity.…”

Section: Theory Sectionmentioning

confidence: 99%

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Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Zhang

2023

Physica Status Solidi (b)

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Herein, the nonlinear third harmonic generation (THG) distribution of Al0.3Ga0.7 As/GaAs quantum dots is studied under the combined influence of hydrostatic pressure and structural parameters, considering the presence of an electrostatic field and magnetic field. Hydrostatic pressure is introduced into the system as an environmental condition in the form of effective mass. When the hydrostatic pressure changes within a certain range, the peak shift and resonance peak of the THG coefficient change significantly, reflecting its application effect elegantly. Interestingly, the effects of these application modes on nonlinear optical properties have different effects, whether it is hydrostatic pressure, structural parameters, or electromagnetic fields.

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χ_{3 ω}^{false(3 false)} = \frac{e^{4} σ_{ν}}{ε_{0} {italicħ}^{3}} \frac{M_{01} M_{12} M_{23} M_{30}}{false(ω ‐ ω_{10} + i Γ_{10} false) false(ω ‐ ω_{20} + i Γ_{20} false) false(ω ‐ ω_{30} + i Γ_{30} false)}

where ω ij = ( E i − E j )/ ħ is transition frequency, σ v is the density of electrons in the QDs,

M_{i j} = | ⟨ ψ_{j} | z | ψ_{i} ⟩ |

is the off‐diagonal matrix, Γ ij denotes relaxation rate, and ε 0 is the vacuum permittivity.…”

Section: Theory Sectionmentioning

confidence: 99%

Section: Theory Sectionmentioning

confidence: 99%

Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Zhang

2023

Physica Status Solidi (b)

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“…Other studies in which NOR, SHG and THG coefficients' variations were investigated have been done by Sayrac [27] and Tuzemen et al [28] for an asymmetrical semi exponential QW and GaAs/AlGaAs asymmetric triple QW respectively.…”

Section: Introductionmentioning

confidence: 99%

Second harmonic generation in Harmonic-Gaussian asymmetric double quantum well: effect of magnetic and intense laser fields

Tuzemen,

Demir,

Dakhlaoui

et al. 2024

Phys. Scr.

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We have theoretically analyzed the effects of externally applied fields (magnetic and intense laser) as well as various structural parameters such as well width, barrier width, barrier height, and structural asymmetry on the second harmonic generation (SHG) coefficients of GaAs/Al0.3Ga0.7As Harmonic-Gaussian asymmetric double quantum wells (QW). The time-independent Schrödinger equation was solved using the diagonalization method and effective mass approximation to obtain the energy eigenvalues and eigenfunctions of the structure. An expression derived within the compact density matrix approach has been used to evaluate the second harmonic generation (SHG) coefficient. Our numerical results indicate that increasing the magnitude of the magnetic (intense laser) field causes the peak positions of SHG to shift towards higher energy regions/blue (lower energy regions/red). On the other hand, as the structural parameters A 1 and A 2 ( k and z 0 ) increase, the peak positions of the SHG coefficients exhibit a shift towards higher energy regions/blue (lower energy regions/red). We expect that the results of our study will contribute to the development of new optoelectronic devices based on the Harmonic-Gaussian asymmetric double quantum well structure.

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“…In recent years, the rapid development of low dimensional semiconductor materials has been formed 'Low dimensional nonlinear optics' is a branch of science, so many researchers are very interested in the study of the composition and quantum structure of nonlinear optical materials [10][11][12]. From the perspective of the renewal and development of low-dimensional semiconductor systems, there are mainly three aspects.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear optical refractive index changes of GaAs/AlGaAs quantum dot under tangent-square potential

Chang

2023

Phys. Scr.

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We investigate in detail the effects of some factors on the optical refractive index change (RICs) in GaAs/AlGaAs parabolic quantum dot (QD) with tangent-square potential (TSP) in our paper, such as the radius of quantum dot, the depth and width limit potential. In the first place, we increase the limit of tangent square potential in the z-direction of the system, which is based on the original parabolic QD, then the Schrödinger equation corresponding to the modified system is solved, and the expressions of different splitting energy levels and wave functions are obtained. At last, the numerical simulations indicate that these physical factors have a great effect on the nonlinear optical performances of the tunable system.

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Effects of applied external fields on the nonlinear optical rectification, second, and third-harmonic generation in an asymmetrical semi exponential quantum well

Cited by 28 publications

References 60 publications

Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Second harmonic generation in Harmonic-Gaussian asymmetric double quantum well: effect of magnetic and intense laser fields

Nonlinear optical refractive index changes of GaAs/AlGaAs quantum dot under tangent-square potential

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Effects of applied external fields on the nonlinear optical rectification, second, and third-harmonic generation in an asymmetrical semi exponential quantum well

Cited by 28 publications

References 60 publications

Third Harmonic Generation in Al0.3Ga0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Third Harmonic Generation in Al0.3Ga0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Second harmonic generation in Harmonic-Gaussian asymmetric double quantum well: effect of magnetic and intense laser fields

Nonlinear optical refractive index changes of GaAs/AlGaAs quantum dot under tangent-square potential

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Product

Resources

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Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field

Third Harmonic Generation in Al_0.3Ga_0.7As/GaAs Quantum Dots: the Influence of the Structure Parameter, Static Electric, and Magnetic Field