Abstract:
This paper deals with the development of the Wiener-
Hopf method for solving the di®raction of waves at ¯ne strip-slotted
structures. The classical problem for di®raction of plane wave at a
strip is an important canonical problem. The boundary value problem
is consecutively solved by a reduction to a system of singular boundary
integral equations, and then to a system of Fredholm integral equations
of the second kind, which e®ectively is solved by one of three presented
methods: A reduction to a system of the linear algebraic equations with
the help of the etalon integral and the saddle point method numerical
discretization based on Gauss quadrature formulas the method of
successive approximations. The solution to the problem in the ¯rst
method contains a denominator that takes into account the resonance
process. Moreover, the precision of the main contribution of the short-
wave asymptotic solution is ensured down to the quasi-stationary limit.
The paper presents also comparisons of with earlier known results.