Abstract
The problem of diffraction of a plane wave by an infinite array of parallel strips is attacked by the newly developed modified residue calculus method. The solution is found in terms of an infinite set of zeros of an analytic function. The asymptotic behavior of the set of zeros is specified by the edge condition, while the first several zeros are determined from a matrix equation. The rapid convergence of these zeros to their asymptotic values is demonstrated through numerical examples. For a given array of strips, it is shown that there exists a total reflection phenomenon at a critical frequency and incident angle. This fact suggests the possibility of constructing an open resonator with an extremely sparse resonance frequency.
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