Title :
A new hybrid series expansion for 3D forward scattering problems
Author :
D´Urso, Michele ; Catapano, Ilaria ; Crocco, Lorenzo ; Isernia, Tommaso
Author_Institution :
Univ. di Napoli Federico II, Naples
Abstract :
In this paper we show that a large number of 3D forward scattering problems can be efficiently solved by means of simply series expansions. Theoretical conditions assuring the applicability of the traditional Born series and the one arising from the Contrast Source - Extended Born model are derived discussed. Practical tools to foresee their convergence are also provided. Then, in order to enlarge the range of problems which can be solved exploiting series expansions, a new hybrid series is proposed. Numerical examples are given to asses effectiveness and simplicity of the proposed tools.
Keywords :
electromagnetic wave scattering; integral equations; series (mathematics); 3D forward scattering problem; Born series; contrast source-extended Born model; integral equations; series expansion; Biological materials; Biomedical materials; Convergence; Electromagnetic fields; Electromagnetic radiation; Electromagnetic scattering; Frequency; Integral equations; Lab-on-a-chip; Permittivity; Contrast Source - Extended Born model; Integral Equations; series expansions;
Conference_Titel :
Geoscience and Remote Sensing Symposium, 2007. IGARSS 2007. IEEE International
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-1211-2
Electronic_ISBN :
978-1-4244-1212-9
DOI :
10.1109/IGARSS.2007.4422902