Wave Diffraction by a Strip Grating: The two-straight line approach
The present work deals with the problem of wave diffraction by a
periodic strip grating which occurs in several application areas,
in particular, antenna and waveguide problems, in electrical
engineering, and diffraction of sound waves by periodic screens, in
acoustics. We give a rigorous formulation of boundary-value
problems of wave diffraction by a periodic strip grating, in which
the width of each strip can be different from the spacing between
any two adjacent strips, and also, greatly simplify the study of
the invertibility of the operator which is associated with the
diffraction problem restricted to Dirichlet and Neumann boundary
conditions when the period is equal to double the width of the
strips. The equivalence of the operators that appear in the
original formulation of the diffraction problems to a Toeplitz
operator defined on a space of functions with a two-straight line
domain allows us to give sufficiently simple formulas for the
inverse of the operator when the period of the grating is equal to
double the width of the strips. This is a joint work with Prof.
Amélia Bastos e Prof. Ferreira dos Santos.
03/10/2003, 15:00 — 16:00 — Room P3.10, Mathematics Building
