One-dimensional model of KZ-type equations for waves in the focal region of cubic and quadratically-cubic nonlinear media


Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

Solutions of the equation describing the high-intensity wave profile within the focal region are derived. This equation is similar to the previously studied models with quadratic and modular nonlinearities, but it is adapted for cubic and quadratically-cubic (QC) nonlinear media, where other physical processes are realized. This simplified one-dimensional equation can be regarded as a “projection” of a three-dimensional equation of Khokhlov–Zabolotskaya type (KZ) onto the axis of the wave beam. Stationary profiles at high intensities of focused waves turn out to be periodic sequences of half-periods of triangular shape with singularities of the derivative at extremum points. Such profiles are typical for nonlinear systems with low-frequency dispersion. There is shown to exist a saturation effect–the amplitude of the wave in the focus cannot exceed a certain maximum value, which does not depend on the initial amplitude.

Авторлар туралы

O. Rudenko

Physics Faculty; Prokhorov General Physics Institute; Schmidt Institute of Physics of the Earth; Blekinge Institute of Technology

Хат алмасуға жауапты Автор.
Email: rudenko@acs366.phys.msu.ru
Ресей, Moscow, 119991; Moscow; Moscow; Karlskrona

Қосымша файлдар

Қосымша файлдар
Әрекет
1. JATS XML

© Pleiades Publishing, Ltd., 2017