Sommerfeld-type integrals for discrete diffraction problems

Diffraction by a Dirichlet right angle on a discrete planar lattice

“…This paper continues the research presented in [1]. A 2D discrete square lattice is under consideration.…”

“…It obeys a certain functional problem. In [1] the authors found this transformant in terms of elliptic functions. However, such a representation is not convenient.…”

“…The problem of diffraction of an incident plane wave by the blocked angle is studied. The motivation and the literature review for such a problem can be found in [1].…”

“…In Section 2 the initial diffraction problem is formulated. Then, the main result of [1] in application to the angle diffraction problem is written down. Namely, a functional problem for the Sommerfeld transformant is set.…”

“…The Sommerfeld transformant of the field is built as an algebraic function. The paper is a continuation of [1].…”