Items related to Two Dimensional Green's Function for a Right Angled...
Two Dimensional Green's Function for a Right Angled Wedge Under an Impedance Boundary Condition (Classic Reprint) - Hardcover
Synopsis
Explore an explicit solution for diffraction by a right-angled wedge with a special impedance coating.
This work presents a clear, elementary approach to finding the two‑dimensional Green's function for the reduced wave equation, offering a practical path through a classic problem in electromagnetics and acoustics.
The author introduces a novel technique that uses an auxiliary function to simplify boundary conditions, then reconstructs the original field by integrating a straightforward ordinary differential equation. The result is expressed through basic operations on simpler, well‑understood problems, making a complex topic accessible without sacrificing rigor. While focused on a rectangular wedge, the method highlights how impedance on a coated face shapes the wave field and its far‑field behavior.
- How the auxiliary function helps turn a tricky impedance boundary into simple conditions
- How the two‑dimensional Green's function is constructed from solutions to simpler problems
- How the far field can be obtained through elementary quadratures and differentiations
- Where these methods fit in electromagnetics and acoustics contexts with absorbing boundaries
Ideal for students, researchers, and practitioners working with wave diffraction, boundary value problems, and wave‑coefficient modeling in wedge geometries.
"synopsis" may belong to another edition of this title.
