Scattering by an Infinite Elliptic Metallic Cylinder

Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core

“…Moreover, we have reproduced the results of [19] by using the extreme ratios ϵ 1 ∕ϵ 2 10 15 and μ 1 ∕μ 2 10 −15 in our formulas.…”

“…and also in Eqs (13)-(15). are found, after lengthy and cumbersome calculations, by using the expansions for the Mathieu functions from[17][18][19], and are given in Eqs.(A3)-(A13). In Eqs.…”

Oblique scattering/hybrid wave propagation in elliptical homogeneous configurations & spectrum/preconditioning of the singular domain integral equation

“…Compared with the expressions in [70,72], it is obvious that we have two contributions due to the hybrid fields, and also, the additional factor 1= sin that appears in the 7 oblique incidence case. For the total scattering cross section, defined in [54], we have…”

“…homogeneous cylinders and dielectric coated conducting cylinders, based on expanding the fields in terms of elliptical wavefunctions. Exact, closed form expressions have been obtained in [70] for the xiii INTRODUCTION scattering cross sections of the scattering by an elliptic metallic cylinder having small eccentricity, by using asymptotic analysis, while in [72], the same procedure has been followed to obtain results for a dielectric elliptic cylinder, also with small eccentricity. Composite elliptical bodies have also been studied, e.g.…”

“…Αρχικά, η µελέτη ξεκίνησε µε τον υπολογισµό της οπίσθιας διατοµής σκέδασης από έναν διηλεκτρικό ελλειπτικό κύλινδρο υπό κάθετη πρόσπτωση [79]. Ακριβείς εκφράσεις κλειστής µορφής έχουν ληφθεί [70] για τις διατοµές σκέδασης από έναν ελλειπτικό µεταλλικό κύλινδρο που έχει µικρή εκκεντρότητα, χρησιµοποιώντας ασυµπτωτική ανάλυση, ενώ στην [72], η ίδια διαδικασία έχει ακολουθηθεί για έναν διηλεκτρικό ελλειπτικό κύλινδρο, επίσης µε µικρή εκκεντρότητα. Σύνθετες ελλειπτικές γεωµετρίες έχουν επίσης µελετηθεί, π.χ.…”