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Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics (Paperback, 2nd ed. 2011)
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Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics (Paperback, 2nd ed. 2011)
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This long awaited second edition traces the original developments
from the 1970s and brings them up to date with new and previously
unpublished material to give this work a new lease of life for the
early twenty-first century and readers new to the topic. In the
winter of 1970-71, Colman Altman had been finding almost exact
symmetries in the computed reflection and transmission matrices for
plane-stratified magnetoplasmas when symmetrically related
directions of incidence were compared. At the suggestion of Kurt
Suchy the complex conjugate wave fields, used to construct the
eigenmode amplitudes via the mean Poynting flux densities, were
replaced by the adjoint wave fields that would propagate in a
medium with transposed constitutive tensors, to yield a scattering
theorem - reciprocity in k-space -- in the computer output. To
prove the result analytically, one had to investigate the
properties of the adjoint Maxwell system, and the two independent
proofs that followed, in 1975 and 1979, proceeded according to the
personal preference of each of the authors. The proof given in this
volume, based on the hindsight provided by later results, is much
more simple and concise. Later, when media with bianisotropic
constitutive tensors were investigated, it was found that conjugate
(reciprocal) media and wave fields could be formed by any
orthogonal spatial mapping of those in the original problem, after
media and fields were reversed in time. The result was still quite
general and not limited to stratified systems. The second line of
development was to find the link between reciprocity in k-space and
Lorentz reciprocity involving currents and sources in physical
space. This was done for plane-stratified media by applying the
scattering theorem to the plane-wave spectrum of eigenmodes
radiated by one current source and reaching the second source. The
reverse linkage between Lorentz reciprocity and reciprocity in
k-space had already been found. However, this was the first time
that the results were presented in a systematic and mathematically
well-defined procedure to serve as a tool for solving problems of
reciprocity and scattering symmetries. The use of time reversal
gives rise to problems of causality when sources are present, but
when the interaction between two systems is involved the non-causal
effects are irrelevant. The insight gained during these
investigations enabled the authors to present many of the earlier
theorems and results, both their own and those of others, in a
compact and unified approach, which has been the main strength of
this book. This new edition has been revised, corrected and updated
where necessary to give a complete picture of this interesting
topic for the present generation of scientists.
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