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VECTORIAL****
MODEL OF A WAVEGUIDE WITH REENTRANT EDGES
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**Alexander****
N. Bogolubov, Alexander
I. Erokhin, Ilya
E. Mogilevsky**

**Faculty
of Physics
M.V.Lomonosov Moscow
State University,
department of
mathematics**

Received
February 14, 2012

**Abstract**.
Vectorial model of an infinite waveguide with reentrant edges in its finite region
is considered in present work. Approximate solution is obtained by incomplited
Galerkin’s method in which vectorial basis is constructed with Laplacian eigen
functions of cross-section. Existence and uniqueness of the approximate
solution and its convergence to the exact solution are proved.

**Keywords:
**waveguide, reentrant edges, reentrant
corners, projective methods.

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