The propagation of self‐localizing beams of electromagnetic waves in the form of nonlinear waveguides in a slightly inhomogeneous medium is studied analytically and numerically. The trajectories of the axial ray are studied as a function of its direction and the field strength at the initial point on the basis of a nonlinear scalar Helmholtz equation. Analytic expressions are derived. The longitudinal refractive index, the field intensity, and the waveguide radius are plotted as functions of the instantaneous position of the point on the axial ray. Deep penetration of the beam into the opaque region and the position of the screening surface are studied as functions of the parameters of the beam and the medium. A steady‐state 3D problem is analyzed for a power‐law nonlinearity with an arbitrary power. A 2D problem is analyzed for the case of a ponderomotive nonlinearity with saturation.
Skip Nav Destination
Article navigation
January 1993
Research Article|
January 01 1993
Waveguide propagation of intense electromagnetic radiation in slightly inhomogeneous nonlinear media
A. A. Andreev;
A. A. Andreev
Space Research Institute, Russian Academy of Sciences, Profsouznaya St. 84‐32, 117810, Moscow, Russia
Search for other works by this author on:
N. S. Erokhin;
N. S. Erokhin
Space Research Institute, Russian Academy of Sciences, Profsouznaya St. 84‐32, 117810, Moscow, Russia
Search for other works by this author on:
N. N. Zol’nikova;
N. N. Zol’nikova
Space Research Institute, Russian Academy of Sciences, Profsouznaya St. 84‐32, 117810, Moscow, Russia
Search for other works by this author on:
L. A. Mikhaĭlovskaya
L. A. Mikhaĭlovskaya
Space Research Institute, Russian Academy of Sciences, Profsouznaya St. 84‐32, 117810, Moscow, Russia
Search for other works by this author on:
Chaos 3, 107–115 (1993)
Article history
Received:
March 25 1992
Accepted:
December 28 1992
Citation
A. A. Andreev, N. S. Erokhin, N. N. Zol’nikova, L. A. Mikhaĭlovskaya; Waveguide propagation of intense electromagnetic radiation in slightly inhomogeneous nonlinear media. Chaos 1 January 1993; 3 (1): 107–115. https://doi.org/10.1063/1.165972
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
Nonlinear model reduction from equations and data
Cecilia Pagliantini, Shobhit Jain
Recent achievements in nonlinear dynamics, synchronization, and networks
Dibakar Ghosh, Norbert Marwan, et al.
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko