The solution to the scattering of an incident pressure wave by an arrangement of eccentric cylinders embedded inside a pair of concentric cylinders is derived here using a combination of T-matrix and mode-matching approaches. This method allows the generation of synthetic data from relatively complex structures to be used for the validation of acoustic tomography methods. An application of the solution derived here is illustrated by reconstructing sound speed and density profiles from a complex phantom using inverse scattering.

1.
J.
Sinai
and
R. C.
Waag
, “
Ultrasonic scattering by two concentric cylinders
,”
J. Acoust. Soc. Am.
83
,
1728
1735
(
1988
).
2.
J. W.
Young
and
J. C.
Bertrand
, “
Multiple scattering by two cylinders
,”
J. Acoust. Soc. Am.
58
,
1190
1195
(
1975
).
3.
S. E.
Sherer
, “
Scattering of sound from axisymetric sources by multiple circular cylinders
,”
J. Acoust. Soc. Am.
115
,
488
496
(
2004
).
4.
J. A.
Roumeliotis
,
A.-G. P.
Ziotopoulos
, and
G. C.
Kokkorakis
, “
Acoustic scattering by a circular cylinder parallel with another of small radius
,”
J. Acoust. Soc. Am.
109
,
870
877
(
2001
).
5.
V.
Twersky
, “
Multiple scattering of radiation by an arbitrary configuration of parallel cylinders
,”
J. Acoust. Soc. Am.
24
,
42
46
(
1952
).
6.
N. K.
Uzunoglu
and
J. G.
Fikioris
, “
Scattering from an infinite dielectric cylinder embedded into another
,”
J. Phys. A
12
,
825
834
(
1979
).
7.
R. P.
Parrikar
,
A. A.
Kishk
, and
A. Z.
Elsherbeni
, “
Scattering from an impedance cylinder embedded in a nonconcentric dielectric cylinder
,”
IEE Proc. Microwaves, Antennas Propag.
138
,
169
175
(
1991
).
8.
L. G.
Stratigaki
,
M. P.
Ioannidou
, and
D. P.
Chrissoulidis
, “
Scattering from a dielectric cylinder with multiple eccentric cylindrical dielectric inclusions
,”
IEE Proc. Microwaves, Antennas Propag.
143
,
505
511
(
1996
).
9.
P. C.
Waterman
, “
New formulation of acoustic scattering
,”
J. Acoust. Soc. Am.
45
,
1417
1429
(
1969
).
10.
W. C.
Chew
,
Waves and Fields in Inhomogeneous Media
(
IEEE
,
Piscataway, NJ
,
1995
).
11.
J.
Lin
and
W.
Chew
, “
Ultrasonic imaging by local shape function method with CGFFT
,”
IEEE Trans. Ultrason. Ferroelectr. Freq. Control
43
,
956
969
(
1996
).
12.
R.
Lavarello
and
M.
Oelze
, “
Density imaging using inverse scattering
,”
J. Acoust. Soc. Am.
125
,
793
802
(
2009
).
You do not currently have access to this content.