ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Melnikov L. A., Derbov V. L., Bychenkov A. I. Dynamics of an off-axis gaussian beam with astigmatism and twist in a transparent nonlinear waveguide medium. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 2, pp. 73-84.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 0)
Language: 
Russian
Article type: 
Article
UDC: 
535.2:621.373.8

Dynamics of an off-axis gaussian beam with astigmatism and twist in a transparent nonlinear waveguide medium

Autors: 
Melnikov Leonid Arkadevich, Yuri Gagarin State Technical University of Saratov
Derbov Vladimir Leonardovich, Saratov State University
Bychenkov Alexei Ivanovich, Saratov State University
Abstract: 

Using the modified generalized moments method the equations of motion are derived for the parameters of а misaligned astigmatic twisted Gaussian beam in an axially symmetric nonlinear medium. Nontrivial features of the beam dynamics (e.g., phase locking, cycle generation, nonlinear symmetry change) in a parabolic waveguide with Kerr nonlinearity are revealed.

Key words: 
Reference: 
  1. Casperson LW. Gaussian light beams in inhomogeneous media. Appl. Opt. 1973;12(10):2434-2441. DOI: 10.1364/AO.12.002434.
  2. Casperson LW. Beam modes in complex lenslike media and resonators. JOSA. 1976;66(12):1373-1379. DOI: 10.1364/JOSA.66.001373.
  3. Kukushkin VG. Misaligned laser resonator with inhomogeneous optical components. Sov. J. Quantum Electron. 1987;17(2):233-235. DOI: 10.1070/QE1987v017n02ABEH007089.
  4. Bekshaev AYa, Grimblatov VM. Misaligned optical resonator with a lens-like medium. Sov. J. Quantum Electron. 1980;10(6):672-677. DOI: 10.1070/QE1980v010n06ABEH010253.
  5. Bojtsov VF, Vladimirov АG. Properties of a ring optical resonator with a disasected spatially heterogeneous medium. Optics and Spectroscopy. 1981;51(4):708-713. (in Russian).
  6. Kucherov AN, Makashev NK, Ustinov EV. Approximation of perturbations of an optical beam under thermal self-interaction conditions. Quantum Electron. 1995;25(2):175-180. DOI: 10.1070/QE1995v025n02ABEH000318.
  7. Goncharenko AM, Logvin YuA, Samson AM, Shapovalov PS, Turovets SI. Ermakov Hamiltonian systems in nonlinear optics of elliptic Gaussian beams. Phys. Lett. A. 1991;160(2):138-142. DOI: 10.1016/0375-9601(91)90602-5.
  8. Derbov VL, Melnikov LA, Novikov AD. New method for calculation of the self-interaction and its application to an analysis of the shift of saturated absorption resonances in Gaussian beams. Sov. J. Quantum Electron. 1987;17(12):1607-1613. DOI: 10.1070/QE1987v017n12ABEH011351.
  9. Derbov VL, Melnikov LA, Novikov AD. Asymmetry of saturation resonances due to lens and aperture effects during propagation of off-axial Gaussian beams in a nonlinear medium. Sov. J. Quantum Electron. 1989;19(8):1064-1068. DOI: 10.1070/QE1989v019n08ABEH008779.
  10. Derbov VL, Melnikov LA, Novikov AD, Potapov SK. Transverse pattern formation and spectral characteristics of cw light beams in resonant media: an improved numerical simulation technique and mode analysis. JOSA В. 1990;7(6):1079-1086. DOI: 10.1364/JOSAB.7.001079.
  11. Vinogradova MV, Rudenko OV, Sukhorukov AP. Wave Theory. M.: Nauka; 1979. 384 p. (in Russian).
  12. Bespalov VI, Talanov VI. Filamentary Structure of Light Beams in Nonlinear Liquids. JETP Lett. 1966;3(12):307-310.
  13. Zakharov VE, Shabat АB. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of wave in nonlinear media. J. Exp. Theor. Phys. 1972;34(1):62-69.
  14. Pyatakhin MV, Suchkov AF. Small-scale two-dimensional self-focus. Sov. Phys. Doklady. 1988;299(4):868-872.
  15. Krivoshlykov SG, Sisakyan IN. Coherent states and light propagation in inhomogeneous media. Sov. J. Quantum Electron. 1980;10(3):312-318. DOI: 10.1070/QE1980v010n03ABEH009979.
Received: 
05.06.1997
Accepted: 
09.02.1998
Published: 
08.07.1998