Abstract:
New basic properties of the reflection operator are analyzed for the
problem of wave diffraction by abrupt discontinuities. A generalized (operator) form of
the power conservation statement has been used to evaluate the norm of this operator
and investigate the localization and the structure of its spectrum. The results obtained are useful for justifying matrix models of the considered class of diffraction problems, as
well as for developing new methods of electrodynamic analysis of waveguiding and
periodic structures.
