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Article: Efficient algorithm for solution of a scattering problem
Title  Efficient algorithm for solution of a scattering problem 

Authors  
Issue Date  1990 
Publisher  John Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgibin/jhome/37176 
Citation  Microwave And Optical Technology Letters, 1990, v. 3 n. 3, p. 102109 How to Cite? 
Abstract  The scattering solution of an arbitraryshape inhomogeneous scatter can be formulated as a scattering solution of N scatterers, each of whose scattered field is approximated by M harmonics. This results in an NM unknown problem. A previously developed recursive operator algorithm, now adapted for wave scattering problems, can be used to solve this N scatterer problem. It is shown that the computational time of such an algorithm scales N2M2P where P is the number of harmonics used in the translation formulas. The scattered field from the same arbitrary shape scatterer can also be conventionally solved by the method of moments, casting it into an N linear algebraic equation. The solution of the linear algebraic equation via Gauss' elimination will involve order N3 floatingpoint operations. Hence, the complexity of the recursive operator algorithm is of lower order than the method of moments. It is shown that the recursive operator algorithm is more efficient than the method of moments when the number of unknowns is large. 
Persistent Identifier  http://hdl.handle.net/10722/182498 
ISSN  2015 Impact Factor: 0.545 2015 SCImago Journal Rankings: 0.372 
DC Field  Value  Language 

dc.contributor.author  Wang, YM  en_US 
dc.contributor.author  Chew, WC  en_US 
dc.date.accessioned  20130502T05:15:36Z   
dc.date.available  20130502T05:15:36Z   
dc.date.issued  1990  en_US 
dc.identifier.citation  Microwave And Optical Technology Letters, 1990, v. 3 n. 3, p. 102109  en_US 
dc.identifier.issn  08952477  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/182498   
dc.description.abstract  The scattering solution of an arbitraryshape inhomogeneous scatter can be formulated as a scattering solution of N scatterers, each of whose scattered field is approximated by M harmonics. This results in an NM unknown problem. A previously developed recursive operator algorithm, now adapted for wave scattering problems, can be used to solve this N scatterer problem. It is shown that the computational time of such an algorithm scales N2M2P where P is the number of harmonics used in the translation formulas. The scattered field from the same arbitrary shape scatterer can also be conventionally solved by the method of moments, casting it into an N linear algebraic equation. The solution of the linear algebraic equation via Gauss' elimination will involve order N3 floatingpoint operations. Hence, the complexity of the recursive operator algorithm is of lower order than the method of moments. It is shown that the recursive operator algorithm is more efficient than the method of moments when the number of unknowns is large.  en_US 
dc.language  eng  en_US 
dc.publisher  John Wiley & Sons, Inc. The Journal's web site is located at http://www3.interscience.wiley.com/cgibin/jhome/37176  en_US 
dc.relation.ispartof  Microwave and Optical Technology Letters  en_US 
dc.title  Efficient algorithm for solution of a scattering problem  en_US 
dc.type  Article  en_US 
dc.identifier.email  Chew, WC: wcchew@hku.hk  en_US 
dc.identifier.authority  Chew, WC=rp00656  en_US 
dc.description.nature  link_to_subscribed_fulltext  en_US 
dc.identifier.scopus  eid_2s2.00025403368  en_US 
dc.identifier.volume  3  en_US 
dc.identifier.issue  3  en_US 
dc.identifier.spage  102  en_US 
dc.identifier.epage  109  en_US 
dc.publisher.place  United States  en_US 
dc.identifier.scopusauthorid  Wang, YM=13310238600  en_US 
dc.identifier.scopusauthorid  Chew, WC=36014436300  en_US 