Relation Between a Class of Two-Dimensional and Three-Dimensional Diffraction Problems (Classic Reprint) - Hardcover

L. B. Felsen

 
9780260135513: Relation Between a Class of Two-Dimensional and Three-Dimensional Diffraction Problems (Classic Reprint)

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Synopsis

Discover how 3D and 2D diffraction problems connect and how that link helps you solve real-world wave challenges.

This book explains a powerful transformation that turns a three-dimensional, ring-source setup with a conducting half-plane into a two-dimensional, line-source problem. It shows how scalar and vector fields relate across dimensions and how to use known two-dimensional solutions to address corresponding three-dimensional cases.

  • Follow the step-by-step mapping between cylindrical and Cartesian coordinates for practical problem solving.
  • See how Dirichlet and Neumann boundary conditions transfer between 2D and 3D diffraction problems.
  • Learn how to extend scalar solutions to vector electromagnetic fields through explicit construction.
  • Explore examples of common geometries, such as cylinders, wedges, slits, and half-planes, with exact or approximate solutions.
Ideal for researchers and engineers working with electromagnetic or scalar diffraction, and for readers with a solid grounding in wave theory who want a concrete method to move between dimensions.

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