This volume contains almost complete proceedings of the NATO Advanced
Study Institute (ASI) organised in 1979 to bring together principal
innovators and numerous users of mathematical techniques for analysing
the interaction of electromagnetic waves with engineering and biological
structures. The mathematical disciplines which can be brought to bear on
these problems necessitate examination of effectiveness, convergence and
robustness of the derived analytic and num rical algorithms. The aim of
this ASI was to give a clear and up-to-date tutorial presentation of
available techniques, and to bring together interested scientists,
engineers and mathematiciaris, to discuss together their experience and
to ensure wider familiarity with the subject. Our programme consists of
three distinct yet related parts. The first two of these reflect two
somewhat different methods applicable for different ranges of L/A, where
L represents a characteristic dimension of a structure and A is a
representative wavelength-of radiation. The third part deals with the
specific problem of biological interaction. In the first part (Low and
Intermediate Frequency Applications) we offer tutorial texts and
user-oriented discussions on main techniques and problems concerning:
radiation, scattering, aperture penetration, inverse scattering, using
moment methods and their developments. The approach to the high
frequency applications forms the subject of the second part of this
volume, concentrating mainly on the geometrical theory of diffraction
(GTD). There are three main variants of the GTD: uniform theory of
diffraction (UTD), uniform asymptotic theory (liAT), spectral theory of
diffraction (STD).