Diffraction of a Plane Wave by a Right Angled Wedge Which Sustains Surface Waves on One Face (Classic Reprint) - Hardcover

Frank C. Karal

Hardcover

ISBN 10: 0656874198 ISBN 13: 9780656874194

Publisher: Forgotten Books, 2018

Synopsis

Get an exact solution to how a plane wave diffracts around a right-angled wedge that supports surface waves on one face. This edition reveals the surface-wave amplitude and the far-field behavior.

This book presents a precise mathematical treatment of electromagnetic diffraction by a wedge with mixed boundary conditions. It shows how an impedance boundary can generate surface waves and derives an exact solution, including a formula for the surface-wave amplitude and a description of the far-field pattern.

The approach uses an auxiliary function, chosen to satisfy the wave equation and simple boundary conditions, allowing the original field to be reconstructed. The method connects ideas from water-wave theory and diffraction, and addresses the challenges of non-separable problems with careful mathematical steps.

• Exact amplitude of the surface wave along the wedge surface for arbitrary impedance parameters.
• Asymptotic representations for the far field and how the surface waves behave at large distances.
• Use of an auxiliary function to simplify mixed boundary conditions and enable solution of the problem.
• Contextual discussion linking this diffraction problem to related work in wave theory.

Ideal for readers of advanced wave theory, diffraction, and applied mathematics seeking a rigorous treatment of impedance-boundary problems.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0656874198
• ISBN 13: 9780656874194
• Binding: Hardcover
• Number of pages: 41