Phd in MATHEMATICAL MODELS FOR ENGINEERING, ELECTROMAGNETICS AND
NANOSCIENCES

Thesis title: Electrical Response of Basic Scatterers And Scattering from Biological Samples

This thesis mainly addresses two electromagnetic problems. In first part, the electrostatic response of a multi-layer and Radially Anisotropic (RA) sphere, cylinder and dielectric half-ellipse has been examined by computing polarizability of each shape. For multi-layer spherical and cylindrical shapes, permittivity components have different values in radial and tangential directions. For both shapes, transmission line method is presented for finding their polarizability and hence effective permittivity. Each of these are presented as a function of positive permittivity. It is also presented that there exist a certain relationship between radial and tangential permittivity components for each layer, for which both RA shapes can be used in cloaking isotropic object of any shape and with any permittivity value. For dielectric half-elliptic object, two special cases are investigated: one series, the other parallel. Polarizability cannot be calculated purely analytically, hence a large matrix equation must be constructed and solved. The polarizability of a half-ellipse is presented as a function of relative permittivity. With positive values for permittivity, the results are quite accurate and they are verified by computing the polarizability numerically. The second part, examines the polarisation-resolved imaging. This technique has been applied to isotropic (Teflon) reference sample and anisotropic (Wood) reference sample. Both samples are exposed to linearly polarized light and then based on radiance, we are able to distinguish two samples and recognize each sample by identifying its behavior. Later, we attempt to study the difference between wood (horizontal and vertical) and teflon samples using Mueller matrix polarimetry. We tend to find Mueller matrix coefficients using two approaches.