Scattering of Wedges and Cones with Impedance Boundary Conditions

Mikhail A. Lyalinov is a Professor in the Department of Mathematics and Mathematical Physics at Saint Petersburg University, Russia. He has published more than 50 research papers on different mathematical aspects of diffraction theory and is co-author of two monographs. He is a principal organizer of the annual international 'Days on Diffraction' seminars.

This book is a systematic and detailed exposition of different analytical techniques used in studying two of the canonical problems, the wave scattering by wedges or cones with impedance boundary conditions. It is the first reference on novel, highly efficient analytical-numerical approaches for wave diffraction by impedance wedges or cones. This text includes calculations of the diffraction or excitation coefficients, including their uniform versions, for the diffracted waves from the edge of the wedge or from the vertex of the cone; study of the far-field behavior in diffraction by impedance wedges or cones, reflected waves, space waves from the singular points of the boundary (from edges or tips), and surface waves; and the applicability of the reported solution procedures and formulae to existing software packages designed for solving real-world high-frequency problems encountered in antenna, wave propagation, and radar cross section. This book is for researchers in wave phenomena physics, radio, optics and acoustics engineers, applied mathematicians and specialists in mathematical physics and specialists in quantum scattering of many particles.

Chapter 1: Fundamentals