Diffraction by a Right-Angled No-Contrast Penetrable Wedge: Analytical Continuation of Spectral Functions

Summary We study the problem of diffraction by a right-angled no-contrast penetrable wedge means two-complex-variable Wiener–Hopf approach. Specifically, analyticity properties unknown (spectral) functions equation are studied. show that these spectral can be analytically continued onto two-complex dimensional manifold, and unveil their singularities in C2. To do so, integral representation formulae for given thoroughly used. It is shown novel concept additive crossing holds problem, we reformulate physical as functional using this concept.