Journal ArticleDOI
The self-action of the electromagnetic field in a medium with considerable nonlinearity
TLDR
In this paper, the propagation of the electromagnetic wave field in a nonlinear medium is discussed in the framework of generalized nonlinear geometrical optics, where the nonlinearity of the medium and the angles between the rays and the general orientation of the wave's beam are not assumed to be small.Abstract:
The propagation of the electromagnetic wave field in a nonlinear medium is discussed in the framework of generalized nonlinear geometrical optics. In this approach the nonlinearity of the medium and the angles between the rays and the general orientation of the wave's beam are not assumed to be small. The exact analytical solutions of the equations of this generalized nonlinear geometrical optics are constructed. These solutions show the possibility of a peculiar mechanism of space stratification of the field.read more
Citations
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Journal ArticleDOI
The non-linear Schrödinger equation and the non-stationary evolution of the intense localized wave field
A. B. Shvartsburg,M. A. Zuev +1 more
TL;DR: In this article, the Schrodinger equation was used to explain the origin of the high intensity localized region near the wave pulse maximum and the critical and supercritical regimes of wave pulse non-stationary evolution.
Journal ArticleDOI
Geometrical-optics solution for self-focusing in nonlinear optics
TL;DR: In this article, a simple solution with focusing rays is obtained by writing the equations in ray coordinates and separating the variables, and a comparison is made with a paraxial solution developed by S. A. Akhmanov et al.
Journal ArticleDOI
Geometrical optics of dispersive media with turning points
TL;DR: In this article, the modification of the geometrical optics approximation developed in our earlier paper has been extended to problems in which the classical conditions for its validity are violated, e.g., turning points are present, and tunnelling and over-barrier reflection are studied.
Journal ArticleDOI
Geometrical optics approximation for nonlinear equations
TL;DR: It is shown that a nonlinear equation with coefficients dependent on the amplitude of the function sought can be reduced to a system of quasi-linear equations of the gas-dynamics type.
References
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Journal ArticleDOI
Self-constriction of a wave packet in a non-linear medium
TL;DR: In this article, the possibility of controlled deformation of a wave packet in the non-linear medium is discussed and exact analytical solutions, describing, in the bounds of nonlinear geometrical optics, the pulse envelope evolution and the nonlinear modulation of such a packet, are found.
Journal ArticleDOI
Non-linear aberration of a self-focussing electromagnetic wave beam
TL;DR: In this paper, the aberrations of a centered axially symmetric electromagnetic wave beam in a nonlinear medium are examined and a formula is obtained, which describes the intensity distribution of the beam near the aberration point.
Journal ArticleDOI
A time-dependent, ray-geometrical treatment of the interference fringes within a thermally self-defocused laser beam
TL;DR: In this article, a time-dependent theoretical treatment of the intensity distribution within a thermally self-defocused laser beam is presented, based on a ray-geometrical approach.