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We analyze electromagnetic waves propagation in one-dimensional periodicmedia with single or periodic defects. The study is made both from the point ofview of the modes and of the diffraction problem. We provide an explicitdispersion equation for the numerical calculation of the modes, and weestablish a connection between modes and poles and zeros of the scatteringmatrix.Comment: 6 pages (Revtex), no figure

Poles and zeros of the scattering matrix associated with defect modes