A fast algorithm for the analysis of scattering by elongated cavities

Moti Zelig; Ehud Heyman; Amir Boag

doi:10.1080/09205071.2018.1465481

A fast algorithm for the analysis of scattering by elongated cavities

Moti Zelig^*, Ehud Heyman, Amir Boag

^*Corresponding author for this work

School of Electrical Engineering

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

Abstract

Electromagnetic scattering from elongated, arbitrarily shaped, open-ended cavities (OEC) has been studied extensively over the years. In this paper, we introduce the fast encapsulating domain decomposition (EDD) scheme for the analysis of radar cross section (RCS) of such OEC. The EDD advantages stem from a domain decomposition along the elongated dimension, followed by a spectral representation of the fields in each segment, whereby the field is naturally separated into in- and out-going waves. This diagonalizes the translation between the cross sections, thus reducing the per segment computational complexity from O((N^A)³) to O(N^W(N^A)²), where N^A and N^W are the number of aperture and wall unknowns per segment, satisfying N^W << N^A as the segmentation is constructed to be smaller than the cross section. The results of the EDD are demonstrated on an S-shaped elongated open-ended cavity.

Original language	English
Pages (from-to)	1675-1696
Number of pages	22
Journal	Journal of Electromagnetic Waves and Applications
Volume	32
Issue number	13
DOIs	https://doi.org/10.1080/09205071.2018.1465481
State	Published - 2 Sep 2018

Keywords

CC–computational complexity
CIO–cavity IO
DD–domain decomposition
EDD–encapsulating DD
Electromagnetic scattering
IE–integral equation
IO–input operator
LCN
LCN–locally corrected Nyström
NG–non-uniform grid
OEC–open-ended cavity
RADAR cross section
RCS
SDD–segmented DD
higher order
inlets
integral equations
numerical methods
open-ended cavity
spectral methods

Access to Document

10.1080/09205071.2018.1465481

Cite this

@article{25b08e730cea443ca2fe90aee3384b15,

title = "A fast algorithm for the analysis of scattering by elongated cavities",

abstract = "Electromagnetic scattering from elongated, arbitrarily shaped, open-ended cavities (OEC) has been studied extensively over the years. In this paper, we introduce the fast encapsulating domain decomposition (EDD) scheme for the analysis of radar cross section (RCS) of such OEC. The EDD advantages stem from a domain decomposition along the elongated dimension, followed by a spectral representation of the fields in each segment, whereby the field is naturally separated into in- and out-going waves. This diagonalizes the translation between the cross sections, thus reducing the per segment computational complexity from O((NA)3) to O(NW(NA)2), where NA and NW are the number of aperture and wall unknowns per segment, satisfying NW << NA as the segmentation is constructed to be smaller than the cross section. The results of the EDD are demonstrated on an S-shaped elongated open-ended cavity.",

keywords = "CC–computational complexity, CIO–cavity IO, DD–domain decomposition, EDD–encapsulating DD, Electromagnetic scattering, IE–integral equation, IO–input operator, LCN, LCN–locally corrected Nystr{\"o}m, NG–non-uniform grid, OEC–open-ended cavity, RADAR cross section, RCS, SDD–segmented DD, higher order, inlets, integral equations, numerical methods, open-ended cavity, spectral methods",

author = "Moti Zelig and Ehud Heyman and Amir Boag",

note = "Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2018",

month = sep,

day = "2",

doi = "10.1080/09205071.2018.1465481",

language = "אנגלית",

volume = "32",

pages = "1675--1696",

journal = "Journal of Electromagnetic Waves and Applications",

issn = "0920-5071",

publisher = "Taylor and Francis Ltd.",

number = "13",

}

TY - JOUR

T1 - A fast algorithm for the analysis of scattering by elongated cavities

AU - Zelig, Moti

AU - Heyman, Ehud

AU - Boag, Amir

PY - 2018/9/2

Y1 - 2018/9/2

N2 - Electromagnetic scattering from elongated, arbitrarily shaped, open-ended cavities (OEC) has been studied extensively over the years. In this paper, we introduce the fast encapsulating domain decomposition (EDD) scheme for the analysis of radar cross section (RCS) of such OEC. The EDD advantages stem from a domain decomposition along the elongated dimension, followed by a spectral representation of the fields in each segment, whereby the field is naturally separated into in- and out-going waves. This diagonalizes the translation between the cross sections, thus reducing the per segment computational complexity from O((NA)3) to O(NW(NA)2), where NA and NW are the number of aperture and wall unknowns per segment, satisfying NW << NA as the segmentation is constructed to be smaller than the cross section. The results of the EDD are demonstrated on an S-shaped elongated open-ended cavity.

AB - Electromagnetic scattering from elongated, arbitrarily shaped, open-ended cavities (OEC) has been studied extensively over the years. In this paper, we introduce the fast encapsulating domain decomposition (EDD) scheme for the analysis of radar cross section (RCS) of such OEC. The EDD advantages stem from a domain decomposition along the elongated dimension, followed by a spectral representation of the fields in each segment, whereby the field is naturally separated into in- and out-going waves. This diagonalizes the translation between the cross sections, thus reducing the per segment computational complexity from O((NA)3) to O(NW(NA)2), where NA and NW are the number of aperture and wall unknowns per segment, satisfying NW << NA as the segmentation is constructed to be smaller than the cross section. The results of the EDD are demonstrated on an S-shaped elongated open-ended cavity.

KW - CC–computational complexity

KW - CIO–cavity IO

KW - DD–domain decomposition

KW - EDD–encapsulating DD

KW - Electromagnetic scattering

KW - IE–integral equation

KW - IO–input operator

KW - LCN

KW - LCN–locally corrected Nyström

KW - NG–non-uniform grid

KW - OEC–open-ended cavity

KW - RADAR cross section

KW - RCS

KW - SDD–segmented DD

KW - higher order

KW - inlets

KW - integral equations

KW - numerical methods

KW - open-ended cavity

KW - spectral methods

UR - http://www.scopus.com/inward/record.url?scp=85046427562&partnerID=8YFLogxK

U2 - 10.1080/09205071.2018.1465481

DO - 10.1080/09205071.2018.1465481

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85046427562

SN - 0920-5071

VL - 32

SP - 1675

EP - 1696

JO - Journal of Electromagnetic Waves and Applications

JF - Journal of Electromagnetic Waves and Applications

IS - 13

ER -

A fast algorithm for the analysis of scattering by elongated cavities

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this