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A fast multiple method (FMM) is proposed for the fast implementation of electromagnetic scattering from onedimensional (1D) twolayered rough surfaces. Both horizontal (HH) and vertical (VV) polarised incident waves are considered. In particular, the focus in this study is on large angles of incidence. The parallel FMM is presented based on the message passing interface (MPI) of personal computer clusters. The biconjugate gradient method is adopted to solve the unsymmetrical matrix equation and is parallelised according to the property of MPI. The simulation time and parallel speedup ratio with different processors are also provided for one surface realisation. The algorithm is validated by comparing the angular distribution of bistatic scattering with that of the finitedifference timedomain (FDTD) technique. Bistatic scattering coefficient (BSC) by twolayered rough surfaces with different incident angles is exhibited. Finally, the influences of the characteristic parameters of rough surfaces, the relative permittivity of the media, as well as the average height between the two rough surfaces on the BSC for large angles of incidence are discussed.
References


1)

H.C. Ku ,
R.S. Awadalah ,
R.L. Mcdonald ,
N.E. Woods
.
Fast and accurate algorithm for electromagnetic scattering from 1D dielectric ocean surfaces.
IEEE Trans. Antennas Propag.
,
8 ,
2381 
2391

2)

M. Martorella ,
F. Berizzi ,
E.D. Mese
.
On the fractal dimension of sea surface backscattered signal at low grazing angle.
IEEE Trans. Antennas Propag.
,
1193 
120

3)

Z.X. Li ,
Y.Q. Jin
.
Bistatic scattering from a fractal dynamic rough sea surface with a ship presence at low grazingangle incidence using the GFBM/SAA.
Microw. Opt. Technol. Lett.
,
2 ,
146 
151

4)

E.I. Thorsos
.
The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum.
J. Acoust. Soc. Am.
,
1 ,
78 
92

5)

E.I. Thorsos ,
D.R. Jackson
.
The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum.
J. Acoust. Soc. Am.
,
1 ,
261 
277

6)

M.Y. Xia ,
C.H. Chan ,
S.Q. Li ,
B. Zhang ,
L. Tsang
.
An efficient algorithm for electromagnetic scattering from rough surfaces using a single integral equation and multilevel sparsematrix canonicalgrid method.
IEEE Trans. Antennas Propag.
,
6 ,
1142 
1149

7)

L. Tsang
.
Monte Carlo simulations of largescale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method.
IEEE Trans. Antennas Propagat.
,
851 
859

8)

P. Spiga ,
G. Soriano ,
M. Saillard
.
Scattering of electromagnetic waves from rough surfaces: a boundary integral method for lowgrazing angles.
IEEE Trans. Antennas Propag.
,
7 ,
2043 
2050

9)

N.T. Thành ,
H. Sahli ,
D.N. Hào
.
Finitedifference methods and validity of a thermal model for landmine detection with soil property estimation.
IEEE Trans. Geosci. Remote Sensing
,
3 ,
656 
674

10)

P.G. Rodríguez ,
A.D. Kim
.
Light propagation in twolayer tissues with an irregular interface.
J. Opt. Soc. Am. A
,
1 ,
64 
73

11)

A. Tabatabaeenejad ,
M. Moghaddam
.
Bistatic scattering from threedimensional layered rough surfaces.
IEEE Trans. Geosci. Remote Sensing
,
8 ,
2102 
2114

12)

N.C. Bruce
.
Singlescatter vectorwave scattering from surfaces with infinite slopes using the Kirchhoff approximation.
J. Opt. Soc. Am. A
,
8 ,
2011 
2017

13)

P. Imperatore ,
A. Iodice ,
D. Riccio
.
Transmission through layered media with rough boundaries: firstorder perturbative solution.
IEEE Trans. Antennas Propag.
,
5 ,
1481 
1494

14)

N. Pinel ,
J.T. Johnson ,
C. Bourlier
.
A geometrical optics model of threedimensional scattering from a rough layer with two rough surfaces.
IEEE Trans. Antennas Propag.
,
3 ,
809 
816

15)

J. Li ,
L.X. Guo ,
H. Zeng
.
FDTD investigation on bistatic scattering from a target above twolayered rough surfaces using UPML absorbing condition.
Progr. Electromagn. Res.
,
197 
211

16)

C.H. Kuo ,
M. Moghaddam
.
Scattering from multilayer rough surfaces based on the extended boundary condition method and truncated singular value decomposition.
IEEE Trans. Antennas Propag.
,
10 ,
2917 
2929

17)

C.D. Moss ,
T.M. Grzegorczyk ,
H.C. Han ,
J.A. Kong
.
Forward–backward method with spectral acceleration for scattering from layered rough surfaces.
IEEE Trans. Antennas Propag.
,
3 ,
1006 
1016

18)

R.F. Harrington
.
(1993)
Filed computation by moment method.

19)

N. Déchamps ,
N. de Beaucoudrey ,
C. Bourlier ,
S. Toutain
.
Fast numerical method for electromagnetic scattering by rough layered interfaces: propagationinsidelayer expansion method.
J. Opt. Soc. Am. A
,
359 
369

20)

V. Rokhlin
.
Rapid solution of integral equations of scattering theory in two dimensions.
J. Comput. Phys.
,
414 
439

21)

R. Wang ,
L.X. Guo
.
Study on EM scattering from the timevarying lossy dielectric ocean and a moving conducting plate above it.
J. Opt. Soc. Am. A
,
3 ,
517 
529

22)

L.X. Guo ,
J. Li ,
H. Zeng
.
Bistatic scattering from a threedimensional object above a twodimensional randomly rough surface modeled with the parallel FDTD approach.
J. Opt. Soc. Am. A
,
11 ,
2383 
2392

23)

J. Li ,
L.X. Guo ,
H. Zeng ,
X.B. Han
.
Messagepassinginterfacebased parallel FDTD investigation on the EM scattering from a 1D rough sea surface using uniaxial perfectly matched layer absorbing boundary.
J. Opt. Soc. Am. A
,
6 ,
1494 
1502

24)

C.T. Kelley
.
(1995)
Iterative methods for linear and nonlinear equations.

25)

V. Jandhyala ,
E. Michielssen ,
S. Balasubramaniam ,
W.C. Chew
.
A combined steepest descentfast multipole algorithm for the fast analysis of threedimensional scattering by rough surfaces.
IEEE Trans. Geosci. Remote Sens.
,
3 ,
738 
748

26)

R.L. Wagner ,
J.M. Song ,
W.C. Chew
.
Monte Carlo simulation of electromagnetic scattering from twodimensional random rough surfaces.
IEEE Trans. Antennas Propag.
,
2 ,
235 
245

27)

L. Tsang ,
J.A. Kong ,
K.H. Ding ,
C.O. Ao
.
(2001)
Scattering of electromagnetic waves: numerical simulations.

28)

C.C. Lu ,
W.C. Chew
.
Fast algorithm for solving hybrid integral equations.
IEE Proc. H
,
6 ,
455 
460

29)

W.C. Chew ,
J. Jin ,
E. Michielssen
.
(2001)
Fast and efficient algorithms in computational electromagnetic.

30)

L.X. Guo ,
A.Q. Wang ,
J. Ma
.
Study on EM scattering from 2D target above 1D large scale rough surface with low grazing incidence by parallel MoM based on PC clusters.
Progr. Electromagn. Res.
,
149 
166

31)

J. Curtis
.
(1996)
Dielectric properties of soils: various sites in Bosnia (Station Data Rep.)’.

32)

R. Wang ,
L.X. Guo
.
Numerical simulations of wave scattering from twolayered rough interface.
Progr. Electromagn. Res. B
,
163 
175
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