Spatio-temporal dynamics of the cross section profile of the optical field in the laser with frequency detuning
A.A. Krents, N.E. Molevich

S.P. Korolyov Samara State Aerospace University,
P.N. Lebedev Physical Institute of RAS, Samara Branch

Full text of article: Russian language.

Abstract:
The spatio-temporal dynamics of the cross section profile of the optical field in the laser with frequency detuning was numerically simulated on the basis of the Maxwell-Bloch equations. It is shown that at certain values of laser parameters autowaves propagating across the aperture are observed. In this laser system, it is shown the transition to spatio-temporal chaos via the cascade of tori doubling bifurcations.

Key words:
dynamic chaos, wide aperture laser, period of tori doubling bifurcation, autowaves.

References:

  1. Hollinger, F. Simple mathematical model describing multitransversal solid-state lasers / F. Hollinger, Chr. Jung, H. We­ber // J. Opt. Soc. Am. B. – 1990. – V. 7, No. 6. – P. 1013-1018.
  2. Huyet, G. Spatio-temporal chaos in the transverse section of lasers /G. Huyet, J.R. Tredicce // Physica D. – 1996. – V. 96. – P. 209-214.
  3. Huyet, G. Spatio-temporal Dynamics of lasers with a large Fresnel number /G. Huyet, M.C. Martinoni, J.R. Tredicce, S. Rica // Phys. Rev. Lett. – 1995. – V. 75, No. 22. – P. 4027-4030.
  4. Zaikin, A.P. Periodic self-wave structures in a wide-aperture laser with frequency detuning. I. Bifurcation analysis / A.P. Zaikin, A.A. Kurguzkin, N.E. Molevich // Quantum Electron. – 1999. – V. 29(6). – P. 523-525.
  5. Krents, A.A. Cascade of torus doubling bifurcations in a detuned laser / A.A. Krents, N.E. Molevich // Quantum Electron. – 2009. – V. 39(8). – P. 751-756.
  6. Krents, A.A. Investigation of the scenario of the passage to chaos in the dynamical system with the critical circumference on the phase plane / A.A. Krents, N.E. Molevich // Izvestya SNC RAN. – 2010. – V. 4. – P. 108-112. – (in Russian).
  7. Кренц, А.А. Birth of steady tori from the closed critical curve and his bifurcations in laser system with frequency detuning / A.A. Krents, N.E. Molevich // Izvestia VUZov. Prikladnaya nelineynaia dinamika. – 2010. – V. 5. – P. 68-79. – (in Russian).
  8. Elkin, N.N. Non-stationary modes of laser generation / N.N. Elkin// Matematicheskoe modelirovanie. – 1998. – V. 10, No. 4. – P. 91-103. – (in Russian).
  9. Fedorenko, R.P. Introduction in the computing physics: the Manual for high schools / R.P. Fedorenko – Dolgoprudny: Intelligence Publisher, 2008. – 504 p. – (in Russian).
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