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Öğe DISTRIBUTIONAL DERIVATIVES ON A REGULAR OPEN SURFACE WITH PHYSICAL APPLICATIONS(Turkic World Mathematical Soc, 2011) Polat, B.The spatial derivatives of Schwartz-Sobolev distributions which display singularities of arbitrary order on an arbitrary regular open surface are investigated. The contributions of the present investigation to literature are i) an approach alternative to the derivation of the distributional derivatives of multilayers by Estrada and Kanwal; ii) an extension of the available results for closed surfaces to open surfaces featuring boundary distributions of arbitrary order. The end results are applied in the distributional investigation of Maxwell equations in presence of single and double layer sources located on a regular open surface.Öğe ON THE AXIOMATIC STRUCTURE OF HERTZIAN ELECTRODYNAMICS(Turkic World Mathematical Soc, 2012) Polat, B.The mathematical foundation, axiomatic structure and principles of Hertzian Electrodynamics for moving bodies are reviewed. The feature of the present investigation is the introduction of a commutative property of the comoving time derivative operator which provides the Hertzian wave equations for material bodies in rotational motion.Öğe SCATTERING BY A MOVING PEC PLANE AND A DIELECTRIC HALF-SPACE IN HERTZIAN ELECTRODYNAMICS(Turkic World Mathematical Soc, 2012) Polat, B.For a demonstration of the predictions of Hertzian Electrodynamics in scattering problems, a general formulation is provided which is followed by various applications of the presented methodology to 2-D canonical problems involving a Perfect Electrical Conductor (PEC) plane and a dielectric half- space in uniform and harmonic motions under plane wave incidence.Öğe A Thin Wire Method of Moments Scheme Employing King's Green Functions and Sinusoidal Basis Functions(Electromagnetics Acad, 2012) Zor, O.; Polat, B.We employ sinusoidal basis functions together with R.W.P. King's analytical Green functions in a Method of Moments formulation of electromagnetic scattering by thin wire mesh structures located over a dielectric ground. The present formulation is an extension of an earlier work by the authors where they have implemented R.W.P. King's Green functions for the first time in literature for the same problem using pulse basis functions. Over a number of numerical tests for canonical structures, it is observed that the results of the present formulation match perfectly with the same solutions provided by the famous open software NEC-2. While the developed codes equally have the ability to read NEC-2 formatted input files, their main advantage lies in the capability to evolve by proper substitutions of Green functions to take into account various terrain features in any scenario.