Self-oscillation mode of laser radiation with resonant phase nonlinearity
Abstract
The paper presents a resonance model of generation of a semiconductor laser emitting at wavelengths in the IR-range, which takes into account the nonlinear phase transformation of the resonant material response of the medium and the field of stimulated emission. The scheme for modelling the generation is based on a modification of the Maxwell – Bloch equations for materials with quantum-size effects. Under the condition of a relatively high concentration of quantum dots represented by dipole particles, a combination of nonlinear effects causing the dynamics of the phase relationship of the field and resonant polarisation is typical for these media. These include the mutual influence of near fields of dipole particles, resonant nonlinear refraction, and the optical Stark effect. The results of numerical calculation and qualitative analysis of the model showed that a special instability of the radiation is caused by the optical Stark effect, which maintains an effective level of amplitude-phase coupling in the laser scheme. It is shown that it is the factor of the nonlinear Stark shift of the resonant gain line that is capable of destabilising stable states of the laser system. In conjunction with other mechanisms of phase nonlinearity, the Stark effect generates self-modulation dynamics in forced emission, stimula ting, among other things, a regime of self-sustaining intensity pulsations that is interesting from a practical point of view.
References
- Baimuratov AS, Rukhlenko ID, Turkov VK, Baranov AV, Fedorov AV. Quantum-dot supercrystals for future nanophotonics. Scientific Reports. 2013;3:1727. DOI:10.1038/srep01727.
- Salii RA, Mintairov SA, Nadtochiy AM, Nevedomskii VN, Shvarts MZ, Kalyuzhnyy NA. Comparative analysis of the optical and physical properties of InAs and In0.8Ga0.2As quantum dots and solar cells based on them. Semiconductors. 2020;54(10):1267–1275. DOI: 10.1134/S1063782620100255.
- Zainabidinov SZ, Saidov AS, Boboev AY, Usmonov JN. Features of the properties of the surface of (GaAs)1 – x – y(Ge2)x(ZnSe)y semiconductor solid solution with ZnSe quantum dots. Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques. 2021;15(1):94–99. DOI: 10.1134/S102745102101016X.
- Borri P, Langbein W, Schneider S, Woggon U, Sellin RL, Ouyang D, et al. Rabi oscillations in the excitonic ground-state transition of InGaAs quantum dots. Physical Review B. 2002;66(8):081306. DOI:10.1103/PhysRevB.66.081306.
- Htoon H, Takagahara T, Kulik D, Baklenov O, Holmes AL Jr, Shih CK. Interplay of Rabi oscillations and quantum interference in semiconductor quantum dots. Physical Review Letters. 2002;88(8):087401. DOI:10.1103/PhysRevLett.88.087401.
- Vasil’ev PP. Strong coupling regime and Rabi oscillations in GaAs/AlGaAs heterostructures as a consequence of electron-hole pair condensation at room temperature. Pis’ma v ZhETF. 2022;115(7–8):424–430. Russian. EDN: FKVUXH.
- Sanchez F, Brunel M, Martel G, Aїt Ameur K. Local field correction to the second laser threshold. Physical Review A. 2000; 61(3):033817. DOI: 10.1103/PhysRevA.61.033817.
- Garmire E. Resonant optical nonlinearities in semiconductors. IEEE Journal of Selected Topics and Quantum Electronics. 2000; 6(6):1094–1110. DOI: 10.1109/2944.902158.
- Unold T, Mueller K, Lienau C, Elsaesser T, Wieck AD. Optical Stark effect in a quantum dot: ultrafast control of single exciton polarizations. Physical Review Letters. 2004;92(15):157401. DOI:10.1103/PhysRevLett.92.157401.
- Slobodeniuk AO, Koutenský P, Bartoš M, Trojánek F, Malý P, Novotný T, et al. Semiconductor Bloch equation analysis of optical Stark and Bloch – Siegert shifts in monolayer WSe2 and MoS2. Physical Review B. 2022;106(23):235304. DOI: 10.1103/PhysRevB.106.235304.
- Ханин ЯИ. Лекции по квантовой радиофизике. Hижний Новгород: ИПФ РАН; 2005. 224 с.
- Oraevskii AN. Dynamics of lasers with a saturable absorber. Kvantovaya elektronika. 2003;33(10):849–855. Russian.
- Апанасевич ПА. Основы теории взаимодействия света с веществом. Степанов БИ, редактор. Минск: Наука и техника; 1977. 496 с.
- Timoshchenko EV. Dynamical mode of laser radiation in quantum dots structures with the optical stark effect. Nonlinear Phenomena in Complex Systems. 2024;27(2):185–193. DOI: 10.5281/zenodo.12621694.
- Andryushkin VV, Novikov II, Gladyshev AG, Babichev AV, Karachinsky LYa, Dudelev VV, et al. Features of epitaxial growth by MBE of thin highly strained InGaAs/InAlAs layers on InP substrates. Zhurnal tekhnicheskoi fiziki. 2023;93(8):1166–1172. Russian. DOI: 10.21883/JTF.2023.08.55979.41-23.
Copyright (c) 2024 Journal of the Belarusian State University. Physics

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)