43 citations · 115 across the 26 of their papers we have counts for
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math-ph2020★ 7 cited
Analytical continuation of two-dimensional wave fields
Raphael C. Assier, Andrey V. Shanin
Wave fields obeying the 2D Helmholtz equation on branched surfaces (Sommerfeld surfaces) are studied. Such surfaces appear naturally as a result of applying the reflection method t…
math.AP2020
Vertex Green's functions of a quarter-plane. Links between the functional equation, additive crossing and Lamé functions
Raphaël C. Assier, Andrey V. Shanin
In our previous work (Assier \& Shanin, QJMAM, 2019), we gave a new spectral formulation in two complex variables associated with the problem of plane-wave diffraction by a quarter…
math.AP2020★ 8 cited
On the asymptotic properties of a canonical diffraction integral
Raphael C. Assier, I. David Abrahams
We introduce and study a new canonical integral, denoted , depending on two complex parameters and . It arises from the canonical problem of wave d…