Kinematic hypocentre determination using the paraxial ray approximation

1994 ◽  
Vol 38 (2) ◽  
pp. 140-156
Author(s):  
Luděk Klimeš
Keyword(s):  
Paraxial Ray Approximation ◽  
Paraxial Ray

Effect of relativistic self-focusing on plasma wave excitation by a hollow Gaussian beam

2011 ◽  
Vol 77 (6) ◽  
pp. 777-784 ◽  
Author(s):  
RUCHIKA GUPTA ◽  
M. RAFAT ◽  
R. P. SHARMA
Keyword(s):  
Laser Beam ◽  
Gaussian Beam ◽  
Plasma Wave ◽  
Radial Distance ◽  
Laser Frequency ◽  
Pump Laser ◽  
Wave Excitation ◽  
Paraxial Ray Approximation ◽  
Self Focusing ◽  
Paraxial Ray

AbstractA paraxial-like approach has been invoked to understand the nature of propagation of a hollow Gaussian beam (HGB) propagating in plasma under the influence of relativistic non-linearity. In this approach, the parameters are expanded in terms of the radial distance from the maximum of irradiance rather than that from the axis. This paper investigates the excitation of plasma wave in a hot collision less plasma by HGB. On account of the × force, a plasma wave at 2ω0 (here, ω0 is the pump laser frequency) is generated. The solution of the HGB has been obtained within the paraxial ray approximation. Filamentary structures of the laser beam are observed due to relativistic non-linearity.

Stable Stationary Solitons of the One-Dimensional Modified Complex Ginzburg-Landau Equation

2007 ◽  
Vol 62 (7-8) ◽  
pp. 368-372
Author(s):  
Woo-Pyo Hong
Keyword(s):  
Landau Equation ◽  
Model Parameters ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Paraxial Ray Approximation ◽  
New Family ◽  
Ginzburg Landau Equation ◽  
The Stability ◽  
The One ◽  
Paraxial Ray

We report on the existence of a new family of stable stationary solitons of the one-dimensional modified complex Ginzburg-Landau equation. By applying the paraxial ray approximation, we obtain the relation between the width and the peak amplitude of the stationary soliton in terms of the model parameters. We verify the analytical results by direct numerical simulations and show the stability of the stationary solitons.

scholarly journals Relativistic self-focusing of transmitted laser radiation in plasmas

2000 ◽  
Vol 18 (1) ◽  
pp. 101-107 ◽  
Author(s):  
MEENU V. ASTHANA ◽  
DINESH VARSHNEY ◽  
M.S. SODHA
Keyword(s):  
Dielectric Constant ◽  
Laser Radiation ◽  
Critical Power ◽  
Interaction Process ◽  
Gaussian Laser Beam ◽  
Laser Plasma Interaction ◽  
Paraxial Ray Approximation ◽  
Self Focusing ◽  
Beam Incident ◽  
Paraxial Ray

This paper presents an analysis of relativistic self-focusing of a Gaussian laser beam incident normally on a plane interface of a linear medium and a nonlinear, nonabsorbing plasma with an intensity dependent dielectric constant. Considering the nonlinearity to arise from the relativistic variation of mass and the Lorentz force on electrons. Following Wentzel–Kramers–Brillouin (WKB) and paraxial ray approximation the phenomenon of relativistic self-focusing of the transmitted laser radiation has been analyzed for the arbitrary magnitude of nonlinearity. Change in the intensity distribution along the wavefront of the Gaussian beam, due to refraction at the interface has also been taken into account. The variation of beamwidth parameter with distance of propagation, self trapping condition and critical power has been evaluated. Numerical estimates for typical parameters of laser plasma interaction process indicate the refraction at the interface to have a significant effect on self-focusing.

Large-Scale Self-Trapping of Optical Beams in the Paraxial Ray Approximation

1968 ◽  
Vol 175 (1) ◽  
pp. 256-266 ◽  
Author(s):  
W. G. Wagner ◽  
H. A. Haus ◽  
J. H. Marburger
Keyword(s):  
Large Scale ◽  
Paraxial Ray Approximation ◽  
Self Trapping ◽  
Optical Beams ◽  
Paraxial Ray

Large-Scale Self-Focusing of Optical Beams in the Paraxial Ray Approximation

1971 ◽  
Vol 3 (6) ◽  
pp. 2150-2150 ◽  
Author(s):  
W. G. Wagner ◽  
H. A. Haus ◽  
J. H. Marburger
Keyword(s):  
Large Scale ◽  
Paraxial Ray Approximation ◽  
Self Focusing ◽  
Optical Beams ◽  
Paraxial Ray

Combined influence of axial electron temperature and exponential plasma density ramp on the self-focusing of a chirped laser in plasma

2020 ◽  
Vol 75 (7) ◽  
pp. 671-675
Author(s):  
Niti Kant ◽  
Vishal Thakur
Keyword(s):  
Electron Temperature ◽  
Pulse Laser ◽  
Plasma Density ◽  
Beam Width ◽  
Spot Size ◽  
Higher Order ◽  
The Self ◽  
Chirped Pulse ◽  
Self Focusing ◽  
Paraxial Ray

AbstractAn analysis of the self-focusing of highly intense chirped pulse laser under exponential plasma density ramp with higher order value of axial electron temperature has been done. Beam width parameter is derived by using paraxial ray approximation and then solved numerically. It is seen that self-focusing of chirped pulse laser is intensely affected by the higher order values of axial electron temperature. Further, influence of exponential plasma density ramp is studied and it is concluded that self-focusing of laser enhances and occurs earlier. On the other hand defocusing of beam reduces to the great extent. It is noticed that the laser spot size reduces significantly under joint influence of the density ramp and the axial electron temperature. Present analysis may be useful for the analysis of quantum dots, the laser induced fusion and etc.

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