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Self-focusing of electromagnetic beams in the ionosphere considering Earth's magnetic field

Published online by Cambridge University Press:  01 August 2008

MAHENDRA SINGH SODHA  and
ASHUTOSH SHARMA
MAHENDRA SINGH SODHA
Affiliation:
Disha Academy of Research and Education, Disha Crown, Katchna Road, Shankar Nagar, Raipur 492007, India (msodha@rediffmail.com)
ASHUTOSH SHARMA
Affiliation:
Ramanna Fellowship Programme, Department of Education Building, Lucknow University, Lucknow 226 007, India
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Abstract

In 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.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 4 , August 2008 , pp. 473 - 491
Copyright
Copyright © Cambridge University Press 2008

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