Self−focusing of electromagnetic beams in bismuth

1975 ◽  
Vol 46 (1) ◽  
pp. 369-372 ◽  
Author(s):  
D. P. Tewari ◽  
Awdhesh Kumar
1974 ◽  
Vol 7 (16) ◽  
pp. 2188-2197 ◽  
Author(s):  
M S Sodha ◽  
R K Khanna ◽  
V K Tripathi

2004 ◽  
Vol 11 (9) ◽  
pp. 4275-4279 ◽  
Author(s):  
Ashutosh Sharma ◽  
M. P. Verma ◽  
M. S. Sodha

2009 ◽  
Vol 27 (1) ◽  
pp. 57-68 ◽  
Author(s):  
M.S. Sodha ◽  
S.K. Mishra ◽  
S. Misra

AbstractThis paper presents an investigation of the focusing of dark hollow Gaussian electromagnetic beams (HGB) in plasma, considering collisional, ponderomotive, and relativistic nonlinearities. A paraxial like approach, in which the parameters are expanded, in terms of radial distance from the maximum of irradiance rather than that from the axis, has been adopted. To highlight the nature of focusing, both critical curves and the divider curves have been obtained as a plot of dimensionless radius vs. power of the beam. The effect of the order of HGB (n), and nature of nonlinearity on self focusing of the beam has also been explored.


2008 ◽  
Vol 74 (4) ◽  
pp. 473-491 ◽  
Author(s):  
MAHENDRA SINGH SODHA ◽  
ASHUTOSH SHARMA

AbstractIn this paper the focusing/defocusing of (i) a single Gaussian electromagnetic beam and (ii) a number of coaxial Gaussian electromagnetic beams, propagating in the extraordinary mode along the Earth's magnetic field in the ionosphere has been investigated in the paraxial approximation. The growth of a sinusoidal instability on account of self-focusing has also been studied. The nonlinearity in the dielectric function, responsible for the focusing/defocusing arises from the redistribution of the electron density, caused by the non-uniform distribution of the electron temperature. The electron temperature is determined by the energy balance for electrons/ions taking into account the Ohmic heating, the collisions and the radiation from the sun. The wave frequency has been assumed to be greater than the plasma frequency. The electron cyclotron frequency due to the Earth's magnetic field in the ionosphere is much larger than the electron collision frequency. This is specifically true for a height of 150 km. Numerical results have been presented for a range of parameters and a discussion of the same has been presented.


1973 ◽  
Vol 2 (1) ◽  
pp. 39-42 ◽  
Author(s):  
M. S. Sodha ◽  
R. K. Khanna ◽  
V. K. Tripathi

1978 ◽  
Vol 20 (4) ◽  
pp. 383-393 ◽  
Author(s):  
M S Sodha ◽  
Govind ◽  
R P Sharma ◽  
S C Kaushik ◽  
D P Tewari

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