This book addresses the most advanced to-date mathematical approach and
numerical methods in electromagnetic field theory and wave propagation.
It presents the application of developed methods and techniques to the
analysis of waves in various guiding structures --shielded and open
metal-dielectric waveguides of arbitrary cross-section, planar and
circular waveguides filled with inhomogeneous dielectrics,
metamaterials, chiral media, anisotropic media and layered media with
absorption. It also looks into spectral properties of wave propagation
for the waveguide families being considered, and the relevant
mathematical techniques such as spectral theory of non-self-adjoint
operator-valued functions are described, including rigorous proofs of
the existence of various types of waves. Further, numerical methods
constructed on the basis of the presented mathematical approach and the
results of numerical modeling for various structures are also described
in depth.
The book is beneficial to a broad spectrum of readers ranging from pure
and applied mathematicians in electromagnetic field theory to
researchers and engineers who are familiar with mathematics. Further, it
is also useful as a supplementary text for upper-level undergraduate
students interested in learning more advanced topics of mathematical
methods in electromagnetics.