Explore how pulses travel through uneven media and bend around obstacles. This book explains how to model wave behavior with Green’s functions, boundary conditions, and diffraction in two dimensions.

< p > In Friedlander’s rigorous, but accessible, treatment, you’ll see how the pressure field from a sudden source evolves in a half‑space with varied refractive index. The discussion blends analytic methods with physical intuition to reveal how direct and reflected waves contribute to the observed field, and how shadows and diffraction arise when direct paths are blocked.

The work develops practical techniques to approximate the pulse, including series solutions and asymptotic methods, and connects these results to geometrical optics. It also covers how conformal mapping can simplify complex geometries like cylinders and other scattering objects.

Learn how Green’s function describes the disturbance from an instantaneous source.

Understand how boundary conditions at a surface shape the transmitted and reflected waves.

See how diffraction in the shadow region can be analyzed with leading-term approximations.

Explore connections between exact solutions and geometrical optics in diffraction problems.

Ideal for readers of applied mathematics, acoustics, and wave theory who seek a solid foundation in two‑dimensional pulse propagation and diffraction.

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