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Solution of Maxwell Equations on Deformed Spherical Domains: Applications To the Scattering Problems
(Izmir Institute of Technology, 2015) Ateş, Barış; Yılmaz, Oğuz
In the present work, firstly we consider analytic solution of the Maxwell’s Equations in the vacuum in the presence of conducting deformed spherical body. Deformation is made in the normal direction of sphere with a small perturbation parameter and arbitrarily chosen smooth deformation function f ( ; φ). The azimuthal and polar angle dependence of the function is preserved till the end. Using the Debye Potentials the solution in the exterior domain of deformed conducting spherical body is given. In addition to this, scattering of electromagnetic plane waves from non-spherical dielectric and conducting objects are considered. In order to find scattered and transmitted fields, in contrast to common use of vector wave functions and their orthogonality properties, the scalar functions and orthogonalities of Associated Legendre Polynomials are used. All the surface integrals are evaluated analytically. The corrections to the coefficients of scattered and transmitted fields up to the second order are obtained and expressed in terms of the Clebsch-Gordon coefficients.

Phd Degree / Doktora