Abstract
This paper presents an analysis of selfconsistent, steadystate, theoretical model, which explains the ring formation in a Gaussian electromagnetic beam propagating in a magnetoplasma, characterized by relativistic nonlinearity. Higher order terms (up to ) in the expansion of the dielectric function and the eikonal have been taken into account. The condition for the formation of a dark and bright ring derived earlier by Misra and Mishra [J. Plasma Phys.75, 769 (2009)] has been used to study focusing/defocusing of the beam. It is seen that inclusion of higher order terms does significantly affect the dependence of the beam width on the distance of propagation. Further, the effect of the magnetic field and the nature of nonlinearity on the ring formation and selffocusing of the beam have been explored.
R.K. and R.M. gratefully acknowledge Guru Nanak Dev University, Amritsar, India for providing financial support.
I. INTRODUCTION
II. BASIC FORMULATION
III. SELFTRAPPING
IV. DISCUSSION
V. CONCLUSIONS
Key Topics
 Self focusing
 19.0
 Magnetic fields
 6.0
 Laser beams
 4.0
 Relativistic plasmas
 4.0
 Dielectric function
 3.0
Figures
Variation of normalized beam width parameter with dimensionless distance of propagation for the following set of parameters: , , , and . The solid curve corresponds to simple paraxial theory, i.e., when and the dashed curve corresponds to higher order paraxial theory, and this figure corresponds to the dark ring.
Variation of normalized beam width parameter with dimensionless distance of propagation for the following set of parameters: , , , and . The solid curve corresponds to simple paraxial theory, i.e., when and the dashed curve corresponds to higher order paraxial theory, and this figure corresponds to the dark ring.
Variation of normalized beam width parameter with dimensionless distance of propagation for the following set of parameters: , , , and . The solid curve corresponds to simple paraxial theory, i.e., when and the dashed curve corresponds to higher order paraxial theory, and this figure corresponds to the bright ring.
Variation of normalized beam width parameter with dimensionless distance of propagation for the following set of parameters: , , , and . The solid curve corresponds to simple paraxial theory, i.e., when and the dashed curve corresponds to higher order paraxial theory, and this figure corresponds to the bright ring.
Dependence of normalized beam width parameter on the magnetic field as a function of dimensionless distance of propagation in a collisionless magnetoplasma with relativistic nonlinearity for the following set of parameters: , , and . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotted curve corresponds to when .
Dependence of normalized beam width parameter on the magnetic field as a function of dimensionless distance of propagation in a collisionless magnetoplasma with relativistic nonlinearity for the following set of parameters: , , and . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotted curve corresponds to when .
Dependence of normalized beam width parameter on the magnetic field as a function of dimensionless distance of propagation in a collisionless magnetoplasma with relativistic nonlinearity for the following set of parameters: , , and . The solid curve corresponds to when , the dashed curve corresponds to when and dotteddashed curve correspond to when .
Dependence of normalized beam width parameter on the magnetic field as a function of dimensionless distance of propagation in a collisionless magnetoplasma with relativistic nonlinearity for the following set of parameters: , , and . The solid curve corresponds to when , the dashed curve corresponds to when and dotteddashed curve correspond to when .
Variation of normalized irradiance on the dimensionless distance of propagation as a function of for relativistic nonlinearity in magnetoplasma when the formation of both bright ring and dark ring is considered. For the upper set of curves (bright ring), the following set of parameters are chosen: , , , and . The solid curve corresponds to and the dashed curve corresponds to . For the lower set of curves (dark ring), the following set of parameters are chosen: , , , and . The dotted curve corresponds to and the dotteddashed curve corresponds to .
Variation of normalized irradiance on the dimensionless distance of propagation as a function of for relativistic nonlinearity in magnetoplasma when the formation of both bright ring and dark ring is considered. For the upper set of curves (bright ring), the following set of parameters are chosen: , , , and . The solid curve corresponds to and the dashed curve corresponds to . For the lower set of curves (dark ring), the following set of parameters are chosen: , , , and . The dotted curve corresponds to and the dotteddashed curve corresponds to .
Plot of equilibrium beam width as intensity parameter when higher order paraxial theory is taken into account, i.e., when . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotteddashed curve corresponds to when ; this figure corresponds to the bright ring formation.
Plot of equilibrium beam width as intensity parameter when higher order paraxial theory is taken into account, i.e., when . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotteddashed curve corresponds to when ; this figure corresponds to the bright ring formation.
Plot of equilibrium beam width as intensity parameter when simple paraxial theory is taken into account, i.e., when . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotteddashed curve corresponds to when ; this figure corresponds to the bright ring formation.
Plot of equilibrium beam width as intensity parameter when simple paraxial theory is taken into account, i.e., when . The solid curve corresponds to when , the dashed curve corresponds to when , and the dotteddashed curve corresponds to when ; this figure corresponds to the bright ring formation.
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