A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution
Dunn, Eric Alan
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https://hdl.handle.net/2142/80919
Description
Title
A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution
Author(s)
Dunn, Eric Alan
Issue Date
2005
Doctoral Committee Chair(s)
Jin, Jianming
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Electricity and Magnetism
Language
eng
Abstract
The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which corresponds to the local near-field of the scatterer/radiator is modeled with a higher-order finite element method (FEM) using interpolatory mixed node/vector basis functions. The radiation condition for the exterior region is enforced by using the method of moments (MoM) to form a boundary integral to enclose the interior region. Scattering problems are excited by a uniform plane wave which is decomposed into a superposition of cylindrical waves. Likewise, radiation problems are excited by local current sources which are decomposed into a Fourier series. For both scattering and radiation analysis each Fourier/cylindrical mode can be evaluated independently. The FE-BI method very accurately models the fields generated by any BOR. Increasing the order of the basis functions is shown to further improve the accuracy.
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