The Recursive Aggregate Interaction Matrix Algorithm for Multiple Scatterers

W. C. Chew, C. C. Lu

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

The recursive aggregate interaction matrix algorithm (RAIMA) for calculating a wave scattering solution is developed. This algorithm combines the strength of both the recursive aggregate T matrix algorithm (RATMA) and the recursive interaction matrix algorithm (RIMA) that have been previously developed. The resultant algorithm is robust for scattering problems involving highly singular Green’s functions by avoiding the violation of the addition theorem. It also has reduced computational complexity for inverting the volume integral equation of scattering. The computational complexity of RAIMA is O(N7/3) in three dimensions and O(N2) in two dimensions.

Original languageEnglish
Pages (from-to)1483-1486
Number of pages4
JournalIEEE Transactions on Antennas and Propagation
Volume43
Issue number12
DOIs
StatePublished - Dec 1995

Bibliographical note

Funding Information:
Manuscript received February 22, 1994; revised June 8, 1995. This work was supported in part by NASA Contract NASA NAG 2-871, by the Office of Naval Research Grant NOOO14-89-J1286, by the Army Research Office Contract DAAL03-91-G-0339,a nd by the National Science Foundation Grant NSF-ECS-92-24466. The computer time was provided by the National Center for Supercomputing Applications (NCSA) at the University of Illinois, Urbana-Champaign. The authors are with the Electromagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801 USA. IEEE Log Number 9415652.

Funding

Manuscript received February 22, 1994; revised June 8, 1995. This work was supported in part by NASA Contract NASA NAG 2-871, by the Office of Naval Research Grant NOOO14-89-J1286, by the Army Research Office Contract DAAL03-91-G-0339,a nd by the National Science Foundation Grant NSF-ECS-92-24466. The computer time was provided by the National Center for Supercomputing Applications (NCSA) at the University of Illinois, Urbana-Champaign. The authors are with the Electromagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801 USA. IEEE Log Number 9415652.

FundersFunder number
National Science Foundation Arctic Social Science ProgramNSF-ECS-92-24466
National Science Foundation Arctic Social Science Program
Office of Naval Research Naval AcademyNOOO14-89-J1286
Office of Naval Research Naval Academy
National Aeronautics and Space AdministrationNAG 2-871
National Aeronautics and Space Administration
Army Research OfficeDAAL03-91-G-0339
Army Research Office

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

    Fingerprint

    Dive into the research topics of 'The Recursive Aggregate Interaction Matrix Algorithm for Multiple Scatterers'. Together they form a unique fingerprint.

    Cite this