Exact and Asymptotic Analysis of EM-Wave Scattering in Cold Plasma

Abstract

The literature survey made it clear that researchers were interested in analyzing the effects of cold plasma on scattering of EM-waves. Now a day’s interest of researchers towards the scattering of EM-waves in the existence of non-plasma has made a very few investigations under the consideration of various aspects. Therefore, in our thesis we aim to explore the exact and asymptotic solutions for the scattered far field by considering different geometries. Also, to gain thorough insight towards the physics of the models proposed, the effects of the physical parameters will be presented and discussed briefly. Analysis of diffraction and scattering of waves by planes, half-planes, finite planes and strips is a worthwhile subject matter regarding electromagnetic theory and modern optics. A lot of exact, asymptotic, analytical and numerical techniques are worked out and have been applied to evaluate the results for diffraction phenomena for different geometries. Wiener-Hopf method is one of the strongest techniques to tackle such a large class of problems modelled for diffraction of waves by different types of obstacles. Electromagnetic waves propagate through an ionized gas and get affected due to interaction with ionized gas. This made the researchers curious. Particularly, 5 researchers started extensive study and investigation about the waves that radio waves got reflected from and got transmitted through the ionosphere containing cold plasma. This ionized gas is termed as plasma because it is electrically neutral as well as the electron and ion densities are substantially the same. The problem proposed to explore the antenna characteristics, journey of waves through plasma, and radars catching signals are worthwhile. Characteristics of Antenna and artificial satellites regarding wave propagation or communicating signals through ionosphere between vehicle and earth station are also worthwhile. The often existence of DCmagnetic field (geomagnetic field) in plasma makes it an-isotropic medium and named as magneto-plasma. For example, earth magnetic field is effective in ionosphere. Assuming the small effect of temperature and pressure variations in plasma reduces it to non-thermal plasma. The characteristics of an-isotropic medium due to plasma are examined by magneto-ionic theory. In the view of this theory, effects of finite temperature and pressure variations can be ignored, because their action is usually small that is why it is reasonable to deal with the plasma at low temperature. Hence, the magneto-ionic theory may be used as a tool to deal with a cold plasma. Methodology of solution is briefly discussed.The literature survey made it clear that researchers were interested in analyzing the non-plasma’s effects on scattering of EM-waves. Now a day’s interest of researchers towards the scattering of EM-waves in the existence of non-thermal plasma has made a very few investigations under the consideration of various aspects. Therefore, in our thesis we aim to explore the exact and asymptotic solutions for the scattered far field by considering different geometries.