This book develops the theory of diffracted pulses behind a circular cylinder in two dimensions, using Green’s functions and a careful treatment of boundary conditions. It shows how the incident pulse and its diffracted counterparts are related through a Laplace-Fourier framework, and it connects acoustics to analogous electromagnetic problems.

Learn how the Green’s function is formulated for a cylinder and how it leads to the diffracted pressure field.
See how the problem is analyzed with transforms and special functions, including how fronts propagate and how caustics arise.
Understand the connections between acoustic and electromagnetic boundary conditions and how the same method applies to both.
Get insights into numerical results and asymptotic behavior for specific geometries and pulse shapes.

Ideal for readers of advanced acoustics, wave theory, and applied physics who want a rigorous, workmanlike treatment of diffraction by curved surfaces.

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