On justification of Sobolev's formula for diffraction by wedge
A.I.Komech, A.E. Merzon, J.E. De la Paz Mendez
TL;DR
This paper investigates the mathematical justification of Sobolev's formula for the diffraction of plane waves by a wedge, providing rigorous analysis of wave scattering in this geometric setting.
Contribution
The work offers a rigorous mathematical validation of Sobolev's formula for wedge diffraction, extending previous heuristic or approximate methods.
Findings
Sobolev's formula is mathematically justified for wedge diffraction
The analysis applies to arbitrary tempered distribution incident waves
Provides a rigorous foundation for wave scattering by wedges
Abstract
We consider the scattering of an arbitary incident plane wave which is a tempered distribution by a two-dimensional wedge.
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Taxonomy
TopicsElectromagnetic Scattering and Analysis · Geophysical Methods and Applications