Exponentially converging Nystrom methods in scattering from infinite curved smooth strips Part 1: TM-case

Tsalamengas, JL

dc.contributor.author	Tsalamengas, JL	en
dc.date.accessioned	2014-03-01T01:33:29Z
dc.date.available	2014-03-01T01:33:29Z
dc.date.issued	2010	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20441
dc.subject	Electromagnetic scattering	en
dc.subject	Galerkin method	en
dc.subject	integral equations	en
dc.subject	Nystrom method	en
dc.subject	strip scatterers	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Analytical expressions	en
dc.subject.other	Closed form	en
dc.subject.other	Computational costs	en
dc.subject.other	Conducting screens	en
dc.subject.other	Curved strips	en
dc.subject.other	Electrically large	en
dc.subject.other	Electromagnetic computation	en
dc.subject.other	Electromagnetic scattering	en
dc.subject.other	Galerkin	en
dc.subject.other	High-order modeling	en
dc.subject.other	Implementation cost	en
dc.subject.other	Inner product	en
dc.subject.other	Matrix elements	en
dc.subject.other	Methods of moments	en
dc.subject.other	Numerical example	en
dc.subject.other	Nystrom method	en
dc.subject.other	strip scatterers	en
dc.subject.other	Subdomain	en
dc.subject.other	TM scattering	en
dc.subject.other	Algorithms	en
dc.subject.other	Electromagnetic wave scattering	en
dc.subject.other	Electromagnetism	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Integral equations	en
dc.subject.other	Magnetic materials	en
dc.subject.other	Method of moments	en
dc.subject.other	Galerkin methods	en
dc.title	Exponentially converging Nystrom methods in scattering from infinite curved smooth strips Part 1: TM-case	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TAP.2010.2055788	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TAP.2010.2055788	en
heal.identifier.secondary	5498962	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	Low-order subdomain basis methods of moments provide little help when highly accurate electromagnetic computations are required. High order modeling, on the other hand, can fill the need for enhanced accuracy but at the expense of greater implementation cost. To supplement such methods, this paper presents Nystrm techniques, both easily implemented and highly accurate, relevant to TM scattering by arbitrarily shaped smooth infinite curved strips. The analysis takes full account of both the singular nature of the kernels and the singularities of the solution at the edges; as a result, the proposed solutions are exponentially converging. In addition, by eliminating inner product integrals, closed form analytical expressions are obtained for all matrix elements; thus our algorithms have very low implementation and computational cost. Detailed numerical examples and case studies amply demonstrate the efficiency, stability, and extremely high accuracy of the algorithms. These algorithms apply uniformly from electrically small to electrically large conducting screens. With only slight modifications the present analysis can be also used to obtain exponentially converging Galerkin solutions. © 2010 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Antennas and Propagation	en
dc.identifier.doi	10.1109/TAP.2010.2055788	en
dc.identifier.isi	ISI:000283364300019	en
dc.identifier.volume	58	en
dc.identifier.issue	10	en
dc.identifier.spage	3265	en
dc.identifier.epage	3274	en