Equations of Mathematical Diffraction Theory focuses on the
comparative analysis and development of efficient analytical
methods for solving equations of mathematical diffraction theory.
Following an overview of some general properties of integral and
differential operators in the context of the linear theory of
diffraction processes, the authors provide estimates of the
operator norms for various ranges of the wave number variation, and
then examine the spectral properties of these operators. They also
present a new analytical method for constructing asymptotic
solutions of boundary integral equations in mathematical
diffraction theory for the high-frequency case.
Clearly demonstrating the close connection between heuristic and
rigorous methods in mathematical diffraction theory, this valuable
book provides you with the differential and integral equations that
can easily be used in practical applications.
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