Synopsis
Explore how diffraction by an elliptic cone reveals new Green's functions and practical boundary insights.
This nonfiction work presents a detailed treatment of wave diffraction with a focus on semi-infinite elliptic cones and plane angular sectors. It explains the sphero-conal coordinate system and how separation of variables leads to Green's functions that satisfy diffraction, radiation, and boundary conditions.
- How to model fields near a cone vertex and understand diffraction coefficients.
- The role of singular coordinate surfaces in setting boundary conditions.
- How simply periodic and nonperiodic Lamé functions arise and how they’re used.
- Step-by-step formulation of the reduced wave equation in the chosen coordinates.
Ideal for readers of advanced wave theory, mathematical physics, and applied engineering who want a rigorous, coordinate-based approach to diffraction problems.
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