Two domain decomposition methods, SDIM and CBFM, for scattering from a two-dimensional perfectly conducting rough surface: comparison and parametric study

Christophe Bourlier; Y. Arencibia Noa; Gildas Kubické; S. Bellez

doi:10.1364/JOSAA.397764

Journal of the Optical Society of America A
Vol. 37,
Issue 9,
pp. 1512-1525
(2020)
•https://doi.org/10.1364/JOSAA.397764

Two domain decomposition methods, SDIM and CBFM, for scattering from a two-dimensional perfectly conducting rough surface: comparison and parametric study

Christophe Bourlier, Y. Arencibia Noa, Gildas Kubické, and S. Bellez

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Christophe Bourlier, Y. Arencibia Noa, Gildas Kubické, and S. Bellez, "Two domain decomposition methods, SDIM and CBFM, for scattering from a two-dimensional perfectly conducting rough surface: comparison and parametric study," J. Opt. Soc. Am. A 37, 1512-1525 (2020)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

This paper focuses on the two domain decomposition methods, the subdomain decomposition iterative method (SDIM) and the characteristics basis function method (CBFM), combined with adaptive cross approximation (ACA) to compute the normalized radar cross section (NRCS) from a perfectly conducting two-dimensional (2D) randomly rough surface. The 3D electromagnetic problem is solved from the electric field integral equation discretized by the Galerkin method of moments with the Rao–Wilton–Glisson basis functions. In addition, a parametric study versus the number of blocks, the number of overlapping edges, the thresholds of recompressed ACA (RACA; ACA combined with two QR decompositions and truncated by a SVD procedure, also named ACA-SVD or ACA-TSVD), and the parameters inherent to the CBFM is investigated. The complexity of the two methods is also addressed.

Full Article | PDF Article

More Like This

Rough layer scattering filled by elliptical cylinders from the method of moments combined with the characteristic basis function method and the Kirchoff approximation

Christophe Bourlier
J. Opt. Soc. Am. A 38(10) 1581-1593 (2021)

Numerical solutions of the Rayleigh equations for the scattering of light from a two-dimensional randomly rough perfectly conducting surface

T. Nordam, P. A. Letnes, I. Simonsen, and A. A. Maradudin
J. Opt. Soc. Am. A 31(5) 1126-1134 (2014)

Efficient propagation-inside-layer expansion algorithm for solving the scattering from three-dimensional nested homogeneous dielectric bodies with arbitrary shape

Sami Bellez, Christophe Bourlier, and Gildas Kubické
J. Opt. Soc. Am. A 32(3) 392-401 (2015)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (23)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (5)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (26)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Name	Definition
$N_{E d g e}$	Total number of edges
$N_{V e r t e x}$	Total number of vertices
$P = N_{B l o c k}$	Number of blocks
$N_{E d g e, O L}$	Total number of edges with overlapping
$n_{O L}$	Exceed edges due to the overlapping
$N_{p}$	Number of edges of block $p$
$N_{O L, p}$	Number of edges of block $p$ with overlapping
${\bar{N}}_{E d g e}$	Mean value of $N_{p}$ over $p \in [1; P]$
${\bar{N}}_{E d g e, O L}$	Mean value of $N_{O L, p}$ over $p \in [1; P]$
$K_{S D I M}$	SDIM convergence order
$ϵ_{S D I M}$	SDIM threshold
${\bar{τ}}_{S D I M}$	SDIM ACA mean compression rate
${\bar{τ}}_{S D I M, R A C A}$	SDIM RACA mean compression rate
$N_{I P W, p}$	CBFM plane wave number of block $p$
${\bar{N}}_{I P W}$	Mean value of $N_{I P W, p}$ over $p \in [1; P]$
$ϵ_{C B F M, S V D}$	CBFM threshold of the SVD truncation
$N_{I P W, S V D, p}$	CBFM plane wave number of block $p$ after SVD truncation
${\bar{N}}_{I P W, S V D}$	Mean value of $N_{I P W, S V D, p}$ over $p \in [1; P]$
$n_{I P W} \geq 1$	Integer defined in Eq. (25)
${\bar{τ}}_{C B F M}$	CBFM ACA mean compression rate
$ϵ_{A C A}$	ACA threshold
$ϵ_{A C A, 1}$	ACA threshold for the adjacent blocks
$ϵ_{A C A, 2}$	ACA threshold for the non-adjacent blocks
$ϵ_{A C A, S V D}$	RACA threshold

	0	15	30	45
0.1	0.41–0.11	0.42–0.08	2.33–0.17	0.25–0.05
0.2	0.06–0.02	0.08–0.02	1.02–0.16	0.18–0.03
0.3	0.04–0.01	0.04–0.01	0.05–0.03	0.07–0.02

	0	15	30	45
0.1	3.98–2.42	3.72–1.23	2.70–0.97	1.63–1.11
0.2	1.22–0.51	3.33–0.41	1.39–0.26	1.61–0.39
0.3	0.52–0.18	1.14–0.16	1.42–0.30	0.98–0.24

	0	15	30	45
0.1	0.92–0.05	0.49–0.06	0.67–0.12	0.76–0.09
0.2	0.13–0.04	0.22–0.08	0.56–0.14	0.63–0.13
0.3	0.13–0.02	0.14–0.03	0.31–0.04	0.51–0.06

	0	15	30	45
0.0	0.02–0.01	0.03–0.01	0.02–0.01	0.03–0.03
0.5	0.04–0.01	0.04–0.01	0.05–0.03	0.07–0.02
0.0	0.14–0.04	0.24–0.04	0.34–0.06	0.23–0.03

Abstract

Cited By

Figures (23)

Tables (5)

Equations (26)

Journal of the Optical Society of America A