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Numerically rigorous techniques for the computation of
electromagnetic fields diffracted by an object become
computationally intensive, if not impractical to handle, at high
frequencies and one must resort to asymptotic methods to solve the
scattering problem at short wavelengths. The asymptotic methods
provide closed form expansions for the diffracted fields and are
also useful for eliciting physical interpretations of the various
diffraction phenomena. One of the principal objectives of this book
is to discuss the different asymptotic methods in a unified manner.
Although the book contains explicit formulas for computing the
field diffracted by conducting or dielectric-coated objects, it
also provides the mathematical foundations of the different methods
and explains how they are interrelated.
Le calcul numerique du champ diffracte par un objet est limite, aux
courtes longueurs d'onde, par les capacites des ordinateurs. Les
methodes asymptotiques haute frequence, inventees pour traiter ces
situations, donnent des expressions entierement explicites du champ
diffracte, ainsi qu'une interpretation physique des mecanismes de
diffraction. L'ouvrage presente de maniere unifiee les differentes
methodes asymptotiques. Il donne d'une part les formules
essentielles permettant le calcul effectif du champ diffracte, en
un point quelconque de l'espace, par un objet complexe conducteur,
recouvert de materiau dielectrique. Il explicite d'autre part les
fondements mathematiques des methodes presentees. Il permet donc
d'acquerir une connaissance pratique ainsi qu'une comprehension
theorique de ces methodes."
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