Table of Contents

• Foreword
• Introduction and Historic Remarks
• The Diffraction Problem in Angular Domains
• Solutions of the Helmholtz Equation by the Sommerfeld Integral
• Sommerfeld Integral in the Problem of the Plane-Wave Diffraction by a Perfect Wedge
• Sommerfeld-Diffraction Problem on a Riemann Surface and the Uniform Far-Field Asymptotics
• Diffraction by a Wedge with Impedance-Boundary Conditions (the Malyuzhinets Problem)
• General Theory of the Malyuzhinets-Type Equations with One Unknown Function
• Green Function for an Angular Domain (Cylindrical-Wave Diffraction)
• Diffraction of a Plane Wave by a Wedge with Thin Dielectric Coatings
• Wave Diffraction in the Wedge’s Exterior Bisected by a Thin Semi-Transparent Layer
• Diffraction of a Skew-Incident Plane Electromagnetic Wave by an Impedance Wedge
• Concluding Remarks
• Appendices – On the Saddle-Point Technique
• The Stationary-Phase Method
• The Fresnel Integral
• The Kirchhoff and Physical-Optics Approximations
• Computation of the Malyuzhinets Function
• References
• Index.

About the Author

Vasilii M. Babich.: Lab. for Mathematical Problems in Geophysics St. Petersburg Branch of Steklov Math. Institute Russian Academy of Science, Fontanka 27, St. Petersburg, Russia Mikhail A. Lyalinov / Valery E. Grikurov.: Department of Mathematics and Mathematical Physics Division of Physics, St. Petersburg University Ulyanovskaya 1, Petrodvoretc-St. Petersburg, Russia