Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems

Eric Michielssen; Amir Boag

doi:10.1002/mop.4650071707

Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems

Eric Michielssen^*, Amir Boag

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A multilevel algorithm is presented for evaluating fields generated by given distributions of electric current. The algorithm can be used to accelerate the solution of scattering problems using the method of moments and/or boundary element methods. The algorithm exploits the limited number of degrees of freedom that characterize a field observed over a domain that is well separated from a source domain. Both the memory requirements and the computational complexity of the algorithm are O(N^s log(N^s)), where N^s is the common number of sources and observation points. The multilevel algorithm can easily be incorporated into existing method‐of‐moments (MoM) programs. A simple physical interpretation of the algorithm is provided. © 1994 John Wiley & Sons, Inc.

Original language	English
Pages (from-to)	790-795
Number of pages	6
Journal	Microwave and Optical Technology Letters
Volume	7
Issue number	17
DOIs	https://doi.org/10.1002/mop.4650071707
State	Published - 5 Dec 1994
Externally published	Yes

Keywords

Method of moments
iterative methods
multilevel algorithms
scattering

Access to Document

10.1002/mop.4650071707

Cite this

@article{51310a8ba4a34c6c82be4bfc3e507934,

title = "Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems",

abstract = "A multilevel algorithm is presented for evaluating fields generated by given distributions of electric current. The algorithm can be used to accelerate the solution of scattering problems using the method of moments and/or boundary element methods. The algorithm exploits the limited number of degrees of freedom that characterize a field observed over a domain that is well separated from a source domain. Both the memory requirements and the computational complexity of the algorithm are O(Ns log(Ns)), where Ns is the common number of sources and observation points. The multilevel algorithm can easily be incorporated into existing method‐of‐moments (MoM) programs. A simple physical interpretation of the algorithm is provided. {\textcopyright} 1994 John Wiley & Sons, Inc.",

keywords = "Method of moments, iterative methods, multilevel algorithms, scattering",

author = "Eric Michielssen and Amir Boag",

year = "1994",

month = dec,

day = "5",

doi = "10.1002/mop.4650071707",

language = "אנגלית",

volume = "7",

pages = "790--795",

journal = "Microwave and Optical Technology Letters",

issn = "0895-2477",

publisher = "John Wiley and Sons Inc.",

number = "17",

}

TY - JOUR

T1 - Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems

AU - Michielssen, Eric

AU - Boag, Amir

PY - 1994/12/5

Y1 - 1994/12/5

N2 - A multilevel algorithm is presented for evaluating fields generated by given distributions of electric current. The algorithm can be used to accelerate the solution of scattering problems using the method of moments and/or boundary element methods. The algorithm exploits the limited number of degrees of freedom that characterize a field observed over a domain that is well separated from a source domain. Both the memory requirements and the computational complexity of the algorithm are O(Ns log(Ns)), where Ns is the common number of sources and observation points. The multilevel algorithm can easily be incorporated into existing method‐of‐moments (MoM) programs. A simple physical interpretation of the algorithm is provided. © 1994 John Wiley & Sons, Inc.

AB - A multilevel algorithm is presented for evaluating fields generated by given distributions of electric current. The algorithm can be used to accelerate the solution of scattering problems using the method of moments and/or boundary element methods. The algorithm exploits the limited number of degrees of freedom that characterize a field observed over a domain that is well separated from a source domain. Both the memory requirements and the computational complexity of the algorithm are O(Ns log(Ns)), where Ns is the common number of sources and observation points. The multilevel algorithm can easily be incorporated into existing method‐of‐moments (MoM) programs. A simple physical interpretation of the algorithm is provided. © 1994 John Wiley & Sons, Inc.

KW - Method of moments

KW - iterative methods

KW - multilevel algorithms

KW - scattering

UR - http://www.scopus.com/inward/record.url?scp=0028766101&partnerID=8YFLogxK

U2 - 10.1002/mop.4650071707

DO - 10.1002/mop.4650071707

M3 - מאמר

AN - SCOPUS:0028766101

VL - 7

SP - 790

EP - 795

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

SN - 0895-2477

IS - 17

ER -

Multilevel evaluation of electromagnetic fields for the rapid solution of scattering problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this