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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 88 (2000), S. 238-241 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An analysis is made of the dynamics of the transverse structure of the field in the scheme of a layer of a medium with nonlinear amplitude-phase transmittance and a feedback mirror separated from it by a linear spacing. For the case of small field changes in a single passage, an approximate equation is derived, which is close in form to the equation used in the average-field approximation for nonlinear interferometers excited with external emission. For the nonlinearity of threshold type, an analytical form is presented for the field distribution corresponding to localized dissipative structures (dissitons).
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 89 (2000), S. 422-428 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A version of perturbation theory is developed that intends to determine the field distribution of spatial solitons with a 2D transverse profile in a Kerr medium in the case of small deviations from paraxial conditions. An approximate master equation for transverse components of the electric field in the case of wide solitons is derived. By solving this equation starting from the unperturbed soliton, i.e., Townes mode with linear polarization of radiation, a solution with an axially symmetric field distribution is found. Dependences of the main soliton characteristics on the degree of paraxiality are determined.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 89 (2000), S. 380-383 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Conditions for the existence of completely localized three-dimensional dissipative laser solitons—“laser bullets” in a medium with nonlinear amplification and absorption and frequency dispersion are studied. Solitons with different profiles are considered and the regions of their stable existence are found. The stability of spherical solitons is studied as a function of frequency mismatch of amplification and absorption lines by the method of direct numerical simulation.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 89 (2000), S. 731-736 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A perturbation theory for determining the stability characteristics of spatial optical solitons with a 2D transverse profile in a transparent medium with a weak saturation of nonlinear refractive index is developed. For Kerr nonlinearity, a new solution of linearized equations for weak soliton perturbations is found. Using this solution, an expression for the stability characteristic is deduced, which, in the case of unstable solitons, determines their decay length and, in the case of stable solitons, shows the presence of perturbations with anomalously weak damping (internal modes) and determines their oscillation period.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 89 (2000), S. 897-900 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The perturbation theory for finding nonparaxial corrections to the structure of “laser bullets,” which represent three-dimensional optical solitons in a medium with nonlinear gain and absorption, is developed. A simple form of polarization and angular field structures is obtained. The main nonparaxial effects are the manifestation of the longitudinal component of the electric field and the asymmetry of intensity distribution.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 88 (2000), S. 721-724 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For wide-aperture interferometers filled with a medium with threshold nonlinearity and excited by external radiation, the transverse profile of the field of localized structures in the form of solitons and dissitons is found when taking spatial filtering into account. The drag coefficient determining the velocity of transverse motion of a single dissiton in the case of oblique incidence of external radiation is analytically calculated.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 91 (2000), S. 1130-1140 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A variant of perturbation theory is developed to determine the characteristics and stability of transversely two-dimensional spatial solitons in a Kerr medium under conditions of small deviations from paraxial. Distributions of the transverse and longitudinal components of the soliton electric and magnetic fields are obtained. It is shown that the power of a nonparaxial soliton in a Kerr medium increases as the propagation constant increases. A linear analysis is made of soliton stability. In addition to confirming stability, this analysis revealed “internal modes” of nonparaxial solitons and their characteristics were determined.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 89 (1999), S. 243-248 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The vector structure of a self-channeling electromagnetic field is determined by solving the complete system of Maxwell’s equations in a transparent medium with a Kerr nonlinearity. Self-channelling with an asymmetric angular distribution of the field occurs at powers several times the critical self-focusing power. As the power is increased, a universal (self-similar) field structure develops in which only the scales change as the power is varied. Self-channelling with a channel width much smaller than the (linear) wavelength of the light, i.e., a “needle of light” with an extreme concentration of radiant power, is found to occur.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of experimental and theoretical physics 86 (1998), S. 284-288 
    ISSN: 1090-6509
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An analysis is done of the effects of self-action of intense coherent electromagnetic radiation in an electron-positron vacuum that is in homogeneous electric and magnetic fields. A modified version of the Heisenberg-Euler theory, in which the Lagrangian incorporates terms with field derivatives, is used to take into account vacuum dispersion. The nonphysical branch of the solutions of the dispersion equation is excluded by a transition to a quasioptical equation for the slowly varying field envelope, an equation that describes the propagation of radiation with allowance for diffraction, spatial-temporal dispersion, and vacuum nonlinearity. The existence of dark solitons (with an intensity gap) in the vacuum is shown to be present. Finally, self-focusing of radiation in a vacuum is demonstrated and the critical self-focusing power is determined.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Optics and spectroscopy 88 (2000), S. 790-791 
    ISSN: 1562-6911
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The results of numerical analysis of dissipative localized structures (“dissitons”) in a single-mode waveguide with nonlinear gain and absorption are presented. An allowance is made for the finite relaxation times in the active and passive media and the finite width of the spectral profiles of absorption and gain.
    Type of Medium: Electronic Resource
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