Characterisations of EM waves in canonical structures with radomes or coating shell

Abstract

In this thesis, some new methods or concepts have been proposed to analyze some specifically shaped canonical objects. One method is proposed in the analyze transmission effects of the electromagnetic field through a cylinder radome whose cross-section can be non-circular. The other method, which makes use of the spherical dyadic Green's functions (DGF's), is developed to study the electromagnetic transmission through an axi-symmetric radome of superspheroidal shapes. Next, electromagnetic radiation by an infinitely long transmission line analyzed using the dyadic Green's function technique is presented. An efficient approach is also proposed to analyze the interior boundary value problem in a spheroidal cavity with perfectly conducting wall, where a closed-form solution has been obtained for the eigenfrequencies based on TE and TM cases, and the values of the coefficients are determined numerically using least squares fitting technique. Finally, a new set of closed form expressions of the classic Mie scattering coefficients of a spherical nanoshell is derived a power series, being very accurate in the large range of various potential engineering applications including optical nanoparticle characterizations and other nanotechnology applications, validated step by step along the derivation procedure.