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Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells

Year 2025, Volume: 8 Issue: 4, 1644 - 1653, 16.09.2025
https://doi.org/10.47495/okufbed.1635337

Abstract

This study explores the effects of an intense laser field (ILF) on the energy levels, electron probability distributions, and third-harmonic generation (THG) in asymmetric double inverse parabolic quantum wells (ADIPQW). The Schrödinger equation is solved using the finite element method under the effective mass approximation, incorporating ILF effects via the Floquet method. For ILF parameter α0 = 0, 2, 4, 6, and 8 nm, we analyze the modifications in potential profiles, energy differences, dipole moment matrix elements (DMME), and THG coefficients. The results indicate that increasing ILF intensity leads to shifts in energy levels and electron localization. The energy differences E₂₁, E₃₁/₂, and E₄₁/₃ show distinct trends under varying ILF, directly affecting THG resonance peak positions. The DMME product remains nearly constant at low ILF values but fluctuates significantly at higher ILF intensities, peaking at α0 = 5 nm and reaching a minimum at α0 = 7 nm. These findings highlight ILF as a tunable parameter for controlling electronic properties and nonlinear optical responses in semiconductor quantum structures.

References

  • Aktas S., Kes H., Boz FK., Okan SE. Control of a resonant tunneling structure by intense laser fields. Superlattices and Microstructures 2016; 98: 220-227.
  • Al EB., Yeşilgül Ü., Ungan F., Kasapoğlu E. Nonlinear optical rectification, the second and third harmonic generation in asymmetric double quantum well under the intense laser field. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2016; 37(4): 405-411.
  • Alaydin BO., Altun D., Ozturk E. Linear and nonlinear optical properties of semi-elliptical InAs quantum dots: Effects of wetting layer thickness and electric field. Thin Solid Films 2022; 755: 139322.
  • Alaydin BO., Altun D., Ozturk O., Ozturk E. High harmonic generations triggered by the intense laser field in GaAs/AlxGa1-xAs honeycomb quantum well wires. Materials Today Physics 2023; 38: 101232.
  • Altuntas I. Effects of applied external fields on the nonlinear optical rectification, second, and third harmonic generation in a quantum well with exponentially confinement potential. The European Physical Journal B 2021; 94(9): 177.
  • Botero J., Shertzer J. Direct numerical solution of the Schrodinger equation for quantum scattering problems. Physical Review A 1992; 46(3): R1155-R1158.
  • Duque CA., Mora-Ramos ME., Kasapoglu E., Sari H., Sökmen I. Intense laser field effect on impurity states in a semiconductor quantum well: transition from the single to double quantum well potential. The European Physical Journal B 2011; 81(4): 441-449.
  • Karimi MJ., Vafaei H. Second-order nonlinear optical properties in a strained InGaN/AlGaN quantum well under the intense laser field. Superlattices and Microstructures 2015; 78: 1-11.
  • Kasapoglu E. Non-resonant intense laser field and electric field effects on the optical characterization of Rosen-Morse quantum wells with different potential functions. Optical and Quantum Electronics 2024; 56(9): 1425.
  • Khordad R. Second and third-harmonic generation of parallelogram quantum wires: electric field. Indian Journal of Physics 2014; 88(3): 275-281.
  • Lepaul S., Lustrac AD., Bouillault F. Solving the Poisson's and Schrodinger's equations to calculate the electron states in quantum nanostructures using the finite element method. IEEE Transactions on Magnetics 1996; 32(3): 1018-1021.
  • Liu G., Cao Y., Liu R., Chen G., Wu F., Zheng Y., Chen Z., Guo K., Lu L. Terahertz laser field manipulation on the electronic and nonlinear optical properties of laterally-coupled quantum well wires. Optics Express 2022; 30(4): 5200-5212.
  • Martínez-Orozco JC., Mora-Ramos ME., Duque CA. Nonlinear optical rectification and second and third harmonic generation in GaAs δ-FET systems under hydrostatic pressure. Journal of Luminescence 2012; 132(2): 449-456.
  • Nakamura K., Shimizu A., Koshiba M., Hayata K. Finite-element analysis of quantum wells of arbitrary semiconductors with arbitrary potential profiles. IEEE Journal of Quantum Electronics 1989; 25(5): 889-895.
  • Ospina DA., Akimov V., Mora-Ramos ME., Morales AL., Tulupenko V., Duque CA. Optical properties of a multibarrier structure under intense laser fields. Superlattices and Microstructures 2015; 87: 109-114.
  • Ozturk O., Alaydin BO., Altun D., Ozturk E. Intense laser field effect on the nonlinear optical properties of triple quantum wells consisting of parabolic and inverse-parabolic quantum wells. Laser Physics 2022; 32(3): 035404.
  • Ozturk O., Ozturk E., Elagoz S. The effect of intense laser field on the nonlinear optical features in asymmetric multiple step and inverse V-shaped multiple step quantum wells. Laser Physics 2019; 29(10): 105401.
  • Ozturk O., Ozturk E., Elagoz S. Nonlinear optical rectification, second and third harmonic generations in square-step and graded-step quantum wells under intense laser field. Chinese Physics Letters 2019; 36(6): 067801.
  • Restrepo RL., Morales AL., Akimov V., Tulupenko V., Kasapoglu E., Ungan F., Duque CA. Intense laser field effects on a Woods–Saxon potential quantum well. Superlattices and Microstructures 2015; 87: 143-148.
  • Sayrac M., Dakhlaoui H., Belhadj W., Ungan F. Effect of structural parameters and applied external fields on the third harmonic generation coefficient of AlGaAs/GaAs three-step quantum well. The European Physical Journal Plus 2024; 139(1): 57.
  • Tuzemen AT. Effects of external fields and structural parameters on third harmonic generation of GaAs/AlGaAs Manning-like double quantum well structure. The European Physical Journal Plus 2024; 139(6): 513.
  • Yu YB., Zhu SN., Guo KX. Exciton effects on the nonlinear optical rectification in one-dimensional quantum dots. Physics Letters A 2005; 335(2): 175-181.
  • Zhang ZH., Yuan JH. The nonlinear second harmonic generation and third harmonic generation in GaAs/GaAlAs exponentially confined quantum well: Electric and magnetic field effects. Physica B: Condensed Matter 2022; 646: 414356.

Asimetrik Çift Ters Parabolik Kuantum Kuyularındaki Yoğun Lazer Alanının Elektronik Yapı ve Üçüncü Harmonik Üretimi Üzerindeki Etkisi

Year 2025, Volume: 8 Issue: 4, 1644 - 1653, 16.09.2025
https://doi.org/10.47495/okufbed.1635337

Abstract

Bu çalışma, asimetrik çift ters parabolik kuantum kuyularında (ADIPQW) yoğun lazer alanının (ILF) enerji seviyeleri, elektron olasılık dağılımları ve üçüncü harmonik üretimi (THG) üzerindeki etkilerini incelemektedir. Schrödinger denklemi, etkin kütle yaklaşımı çerçevesinde sonlu elemanlar yöntemi kullanılarak çözülmüş ve ILF etkileri Floquet yöntemi aracılığıyla modellenmiştir. ILF parametresi α0 = 0, 2, 4, 6 ve 8 nm için, potansiyel profillerindeki değişimler, enerji farkları, dipol moment matris elemanları (DMME) ve THG katsayıları analiz edilmiştir. Sonuçlar, ILF şiddetinin artmasının enerji seviyelerinde kaymalara ve elektron lokalizasyonunda değişimlere yol açtığını göstermektedir. Enerji farkları E₂₁, E₃₁/₂ ve E₄₁/₃, değişen ILF değerleri altında farklı eğilimler sergileyerek THG rezonans tepe noktalarını doğrudan etkilemektedir. DMME çarpanı düşük ILF değerlerinde neredeyse sabit kalırken, yüksek ILF şiddetlerinde önemli dalgalanmalar göstermekte, α0 = 5 nm’de maksimuma ulaşırken α0 = 7 nm’de minimum değerine inmektedir. Bu bulgular, ILF’nin yarı iletken kuantum yapılarında elektronik özellikleri ve doğrusal olmayan optik tepkileri kontrol etmek için ayarlanabilir bir parametre olarak işlev gördüğünü ortaya koymaktadır.

References

  • Aktas S., Kes H., Boz FK., Okan SE. Control of a resonant tunneling structure by intense laser fields. Superlattices and Microstructures 2016; 98: 220-227.
  • Al EB., Yeşilgül Ü., Ungan F., Kasapoğlu E. Nonlinear optical rectification, the second and third harmonic generation in asymmetric double quantum well under the intense laser field. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 2016; 37(4): 405-411.
  • Alaydin BO., Altun D., Ozturk E. Linear and nonlinear optical properties of semi-elliptical InAs quantum dots: Effects of wetting layer thickness and electric field. Thin Solid Films 2022; 755: 139322.
  • Alaydin BO., Altun D., Ozturk O., Ozturk E. High harmonic generations triggered by the intense laser field in GaAs/AlxGa1-xAs honeycomb quantum well wires. Materials Today Physics 2023; 38: 101232.
  • Altuntas I. Effects of applied external fields on the nonlinear optical rectification, second, and third harmonic generation in a quantum well with exponentially confinement potential. The European Physical Journal B 2021; 94(9): 177.
  • Botero J., Shertzer J. Direct numerical solution of the Schrodinger equation for quantum scattering problems. Physical Review A 1992; 46(3): R1155-R1158.
  • Duque CA., Mora-Ramos ME., Kasapoglu E., Sari H., Sökmen I. Intense laser field effect on impurity states in a semiconductor quantum well: transition from the single to double quantum well potential. The European Physical Journal B 2011; 81(4): 441-449.
  • Karimi MJ., Vafaei H. Second-order nonlinear optical properties in a strained InGaN/AlGaN quantum well under the intense laser field. Superlattices and Microstructures 2015; 78: 1-11.
  • Kasapoglu E. Non-resonant intense laser field and electric field effects on the optical characterization of Rosen-Morse quantum wells with different potential functions. Optical and Quantum Electronics 2024; 56(9): 1425.
  • Khordad R. Second and third-harmonic generation of parallelogram quantum wires: electric field. Indian Journal of Physics 2014; 88(3): 275-281.
  • Lepaul S., Lustrac AD., Bouillault F. Solving the Poisson's and Schrodinger's equations to calculate the electron states in quantum nanostructures using the finite element method. IEEE Transactions on Magnetics 1996; 32(3): 1018-1021.
  • Liu G., Cao Y., Liu R., Chen G., Wu F., Zheng Y., Chen Z., Guo K., Lu L. Terahertz laser field manipulation on the electronic and nonlinear optical properties of laterally-coupled quantum well wires. Optics Express 2022; 30(4): 5200-5212.
  • Martínez-Orozco JC., Mora-Ramos ME., Duque CA. Nonlinear optical rectification and second and third harmonic generation in GaAs δ-FET systems under hydrostatic pressure. Journal of Luminescence 2012; 132(2): 449-456.
  • Nakamura K., Shimizu A., Koshiba M., Hayata K. Finite-element analysis of quantum wells of arbitrary semiconductors with arbitrary potential profiles. IEEE Journal of Quantum Electronics 1989; 25(5): 889-895.
  • Ospina DA., Akimov V., Mora-Ramos ME., Morales AL., Tulupenko V., Duque CA. Optical properties of a multibarrier structure under intense laser fields. Superlattices and Microstructures 2015; 87: 109-114.
  • Ozturk O., Alaydin BO., Altun D., Ozturk E. Intense laser field effect on the nonlinear optical properties of triple quantum wells consisting of parabolic and inverse-parabolic quantum wells. Laser Physics 2022; 32(3): 035404.
  • Ozturk O., Ozturk E., Elagoz S. The effect of intense laser field on the nonlinear optical features in asymmetric multiple step and inverse V-shaped multiple step quantum wells. Laser Physics 2019; 29(10): 105401.
  • Ozturk O., Ozturk E., Elagoz S. Nonlinear optical rectification, second and third harmonic generations in square-step and graded-step quantum wells under intense laser field. Chinese Physics Letters 2019; 36(6): 067801.
  • Restrepo RL., Morales AL., Akimov V., Tulupenko V., Kasapoglu E., Ungan F., Duque CA. Intense laser field effects on a Woods–Saxon potential quantum well. Superlattices and Microstructures 2015; 87: 143-148.
  • Sayrac M., Dakhlaoui H., Belhadj W., Ungan F. Effect of structural parameters and applied external fields on the third harmonic generation coefficient of AlGaAs/GaAs three-step quantum well. The European Physical Journal Plus 2024; 139(1): 57.
  • Tuzemen AT. Effects of external fields and structural parameters on third harmonic generation of GaAs/AlGaAs Manning-like double quantum well structure. The European Physical Journal Plus 2024; 139(6): 513.
  • Yu YB., Zhu SN., Guo KX. Exciton effects on the nonlinear optical rectification in one-dimensional quantum dots. Physics Letters A 2005; 335(2): 175-181.
  • Zhang ZH., Yuan JH. The nonlinear second harmonic generation and third harmonic generation in GaAs/GaAlAs exponentially confined quantum well: Electric and magnetic field effects. Physica B: Condensed Matter 2022; 646: 414356.
There are 23 citations in total.

Details

Primary Language English
Subjects Classical and Physical Optics
Journal Section RESEARCH ARTICLES
Authors

Ozan Öztürk 0000-0002-9592-3152

Publication Date September 16, 2025
Submission Date February 7, 2025
Acceptance Date April 2, 2025
Published in Issue Year 2025 Volume: 8 Issue: 4

Cite

APA Öztürk, O. (2025). Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 8(4), 1644-1653. https://doi.org/10.47495/okufbed.1635337
AMA Öztürk O. Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells. Osmaniye Korkut Ata University Journal of The Institute of Science and Techno. September 2025;8(4):1644-1653. doi:10.47495/okufbed.1635337
Chicago Öztürk, Ozan. “Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells”. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi 8, no. 4 (September 2025): 1644-53. https://doi.org/10.47495/okufbed.1635337.
EndNote Öztürk O (September 1, 2025) Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi 8 4 1644–1653.
IEEE O. Öztürk, “Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells”, Osmaniye Korkut Ata University Journal of The Institute of Science and Techno, vol. 8, no. 4, pp. 1644–1653, 2025, doi: 10.47495/okufbed.1635337.
ISNAD Öztürk, Ozan. “Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells”. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi 8/4 (September2025), 1644-1653. https://doi.org/10.47495/okufbed.1635337.
JAMA Öztürk O. Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells. Osmaniye Korkut Ata University Journal of The Institute of Science and Techno. 2025;8:1644–1653.
MLA Öztürk, Ozan. “Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells”. Osmaniye Korkut Ata Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 8, no. 4, 2025, pp. 1644-53, doi:10.47495/okufbed.1635337.
Vancouver Öztürk O. Influence of Intense Laser Field on the Electronic Structure and Third-Harmonic Generation in Asymmetric Double Inverse Parabolic Quantum Wells. Osmaniye Korkut Ata University Journal of The Institute of Science and Techno. 2025;8(4):1644-53.

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