Asymptotic Formulas for Diffraction by Parabolis Surfaces (Classic Reprint) - Softcover

Inhaltsangabe

Diffraction by Paraboloid Surfaces reveals practical ways to solve wave problems with paraboloidal and parabolic-cylinder reflectors.

This book presents asymptotic methods and practical approximations for understanding how waves reflect and diffract in these geometries, with a focus on real-world applications in optics and acoustics. This edition covers the construction of asymptotic solutions to the wave equation in paraboloidal coordinates, the role of caustic surfaces, and the Green’s-function approach to boundary-value problems. It explains how stationary-phase ideas produce usable formulas for plane, spherical, and cylindrical waves reflecting from paraboloidal and parabolic-cylinder reflectors, including cases with sources at the focus or along the axis.

• Derivation of caustic surfaces and their impact on wave behavior.
• Asymptotic representations for Green’s functions in parabolic coordinates.
• Practical solutions for reflections and diffractions of different wave sources.
• Techniques to approximate complex integrals and obtain scalable results.

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