Advanced Theory of Diffraction by a Semi-infinite Impedance Cone
Author(s): J. M. L. Bernard
E-ISBN: E 978-1-78332-028-8
Publication Year: 2014
Binding: Hard Back Dimension: 160mm x 240mm Weight: 438
About the book
The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given.
Table of Contents
Preface / General Introduction: Generalities on our Approach / Diffraction by Cones: Complex Analysis for the Scattering by an Impedance cone / Impedance Cone with a General Smooth Section / The Flat Cone: An Efficient Expression for a Multilayer / Appendixes / Index.
Postgraduate Students, Professionals and Researchers