Advances in Mathematical Methods for Electromagnetics This book covers recent achievements in the area of advanced analytical and associated numerical methods as applied to various problems arising in all branches of electromagnetics Introduction Kazuya Kobayashi and Paul D. Smith New insights in integral representation theory for the solution of complex canonical diffraction problems J.M.L. Bernard Scattering of electromagnetic surface waves on imperfectly conducting canonical bodies Mikhail A. Lyalinov and Ning Yan Zhu Dieletric wedge Fourier series Svend Berntsen Greens theorem Greens functions and Huygens principle in discrete electromagnetics John M. Arnold The concept of generalized functions and universal properties of the Greens functions associated with the wave equation in bounded piece wise homogeneous domains M. Idemen Elliptic cylinder with a strongly elongated cross section : high frequency techniques and function theoretic methods Frédéric Molinet and Ivan Andronov High frequency hybrid ray mode techniques Hiroshi Shirai Scattering and diffraction of scalar and electromagnetic waves using spherical multipole analysis and uniform complex source beams Ludger Klinkenbusch and Hendrik Brüns Changes in the far field pattern induced by rounding the corners of a scatterer : dependence upon curvature Audrey J. Markowskei and Paul D. Smith Radiation from a line source at the vertex of a right angled dielectric wedge Anthony D. Rawlins Wiener Hopf analysis of the diffraction by a thin material strip Takashi Nagasaka and Kazuya Kobayashi The Wiener Hopf Fredholm factorization technique to solve scattering problems in coupled planar and angular regions Vito G. Daniele and Guido Lombardi On the analytical regularization method in scattering and diffraction Yury A. Tuchkin Resonance scattering of E polarized plane waves by two dimensional arbitrary open cavities : spectrum of complex eigenvalues Elena D. Vinogradova Numerical solutions of integral equations for electromagnetics Roberto D. Graglia and Andrew F. Peterson Electromagnetic modelling at arbitrarily low frequency via the quasi Helmholtz projectors Adrien Merlini Alexandre Dély Kristof Cools and Francesco P. Andriulli Resistive and thin dielectric disk antennas with axially symmetric excitation analyzed using the method of analytical regularization Nataliya Y. Bliznyuk and Alexander I. Nosich Scattering and guiding problems of electromagnetic waves in inhomogeneous media by improved Fourier series expansion method Tsuneki Yamasaki Methods and fast algorithms for the solution of volume singular integral equatios Alexander B. Samokhin Herglotz functions and applications in electromagnetics Mitja Nedic Casimir Ehrenborg Yevhen Ivanenko Andrei Ludvig Osipov Sven Nordebo Annemarie Luger Lars Jonsson Daniel Sjöberg and Mats Gustafsson Scattering and guidance by layered cylindrically periodic arrays of circular cylinders Vakhtang Jandieri and Kiyotoshi Yasumoto Analytical and numerical solution techniques for forward and inverse scattering problems in waveguides E.D. Derevyanchuk Yu.V. Shestapalov and Yu.G. Smirnov Beam based local diffraction tomography Ram Tuvi Ehud Heyman and Timor Melamed Modal expansions in dispersive material systems with application to quantum optics and topological photonics Marío G. Silveirinha Multiple scattering by a collection of randomly located obstacles distributed in a dielectric slab Gerhard Kristensson and Niklas Wellander Electromagnetics of complex environments applied to geophysical and biological media Akira Ishimaru Yasuo Kuga and Max Bright Innovative tools for SI units in solving various problems of electrodynamics Oleg A. Tretyakov Oleksandr Butrym and Fatih Erden.