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.
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 * Chapter 1: New insights in integral representation theory for the solution of complex canonical diffraction problems * Chapter 2: Scattering of electromagnetic surface waves on imperfectly conducting canonical bodies * Chapter 3: Dielectric-wedge Fourier series * Chapter 4: Green's theorem, Green's functions and Huygens' principle in discrete electromagnetics * Chapter 5: The concept of generalized functions and universal properties of the Green's functions associated with the wave equation in bounded piece-wise homogeneous domains * Chapter 6: Elliptic cylinder with a strongly elongated cross-section: high frequency techniques and function theoretic methods * Chapter 7: High-frequency hybrid ray-mode techniques * Chapter 8: Scattering and diffraction of scalar and electromagnetic waves using spherical-multipole analysis and uniform complex-source beams * Chapter 9: Changes in the far-field pattern induced by rounding the corners of a scatterer: dependence upon curvature * Chapter 10: Radiation from a line source at the vertex of a right-angled dielectric wedge * Chapter 11: Wiener-Hopf analysis of the diffraction by a thin material strip * Chapter 12: The Wiener-Hopf Fredholm factorization technique to solve scattering problems in coupled planar and angular regions * Chapter 13: On the analytical regularization method in scattering and diffraction * Chapter 14: Resonance scattering of E-polarized plane waves by two-dimensional arbitrary open cavities: spectrum of complex eigenvalues * Chapter 15: Numerical solutions of integral equations for electromagnetics * Chapter 16: Electromagnetic modelling at arbitrarily low frequency via the quasi-Helmholtz projectors * Chapter 17: Resistive and thin dielectric disk antennas with axially symmetric excitation analyzed using the method of analytical regularization * Chapter 18: Scattering and guiding problems of electromagnetic waves in inhomogeneous media by improved Fourier series expansion method * Chapter 19: Methods and fast algorithms for the solution of volume singular integral equations * Chapter 20: Herglotz functions and applications in electromagnetics * Chapter 21: Scattering and guidance by layered cylindrically periodic arrays of circular cylinders * Chapter 22: Analytical and numerical solution techniques for forward and inverse scattering problems in waveguides * Chapter 23: Beam-based local diffraction tomography * Chapter 24: Modal expansions in dispersive material systems with application to quantum optics and topological photonics * Chapter 25: Multiple scattering by a collection of randomly located obstacles distributed in a dielectric slab * Chapter 26: Electromagnetics of complex environments applied to geophysical and biological media * Chapter 27: Innovative tools for SI units in solving various problems of electrodynamics
* Introduction * Chapter 1: New insights in integral representation theory for the solution of complex canonical diffraction problems * Chapter 2: Scattering of electromagnetic surface waves on imperfectly conducting canonical bodies * Chapter 3: Dielectric-wedge Fourier series * Chapter 4: Green's theorem, Green's functions and Huygens' principle in discrete electromagnetics * Chapter 5: The concept of generalized functions and universal properties of the Green's functions associated with the wave equation in bounded piece-wise homogeneous domains * Chapter 6: Elliptic cylinder with a strongly elongated cross-section: high frequency techniques and function theoretic methods * Chapter 7: High-frequency hybrid ray-mode techniques * Chapter 8: Scattering and diffraction of scalar and electromagnetic waves using spherical-multipole analysis and uniform complex-source beams * Chapter 9: Changes in the far-field pattern induced by rounding the corners of a scatterer: dependence upon curvature * Chapter 10: Radiation from a line source at the vertex of a right-angled dielectric wedge * Chapter 11: Wiener-Hopf analysis of the diffraction by a thin material strip * Chapter 12: The Wiener-Hopf Fredholm factorization technique to solve scattering problems in coupled planar and angular regions * Chapter 13: On the analytical regularization method in scattering and diffraction * Chapter 14: Resonance scattering of E-polarized plane waves by two-dimensional arbitrary open cavities: spectrum of complex eigenvalues * Chapter 15: Numerical solutions of integral equations for electromagnetics * Chapter 16: Electromagnetic modelling at arbitrarily low frequency via the quasi-Helmholtz projectors * Chapter 17: Resistive and thin dielectric disk antennas with axially symmetric excitation analyzed using the method of analytical regularization * Chapter 18: Scattering and guiding problems of electromagnetic waves in inhomogeneous media by improved Fourier series expansion method * Chapter 19: Methods and fast algorithms for the solution of volume singular integral equations * Chapter 20: Herglotz functions and applications in electromagnetics * Chapter 21: Scattering and guidance by layered cylindrically periodic arrays of circular cylinders * Chapter 22: Analytical and numerical solution techniques for forward and inverse scattering problems in waveguides * Chapter 23: Beam-based local diffraction tomography * Chapter 24: Modal expansions in dispersive material systems with application to quantum optics and topological photonics * Chapter 25: Multiple scattering by a collection of randomly located obstacles distributed in a dielectric slab * Chapter 26: Electromagnetics of complex environments applied to geophysical and biological media * Chapter 27: Innovative tools for SI units in solving various problems of electrodynamics
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