The paper explores diffraction of acoustic waves at a two-dimensional hard trilateral cylinder with rounded edges. It represents the extension of the physical theory of diffraction (PTD) for finite objects with rounded edges. A first-order PTD approximation is developed. Integral equations are formulated for acoustic fringe waves and solved by method of moments (MoM). Good agreement is observed with the exact solution found by MoM when the object size exceeds a few wavelengths.

1.
Apaydin
,
G.
,
Hacivelioglu
,
F.
,
Sevgi
,
L.
, and
Ufimtsev
,
P. Y.
(
2014
). “
Wedge diffracted waves excited by a line source: Method of moments (mom) modeling of fringe waves
,”
IEEE Trans. Antennas Propag.
62
(
8
),
4368
4371
.
2.
Apaydin
,
G.
,
Hacivelioglu
,
F.
,
Sevgi
,
L.
, and
Ufimtsev
,
P. Y.
(
2016a
). “
Fringe waves from a wedge with one face electric and the other face magnetic
,”
IEEE Trans. Antennas Propag.
64
(
3
),
1125
1130
.
3.
Apaydin
,
G.
, and
Sevgi
,
L.
(
2016
). “
The two-dimensional nonpenetrable wedge scattering problem and a Matlab-based fringe wave calculator
,”
IEEE Antennas Propag. Mag.
58
(
2
),
86
93
.
4.
Apaydin
,
G.
,
Sevgi
,
L.
, and
Ufimtsev
,
P. Y.
(
2016b
). “
Fringe integral equations for the 2-D wedges with soft and hard boundaries
,”
Radio Sci.
51
(
9
),
1570
1578
, .
5.
Apaydin
,
G.
,
Sevgi
,
L.
, and
Ufimtsev
,
P. Y.
(
2017a
). “
Diffraction at rounded wedges: MoM modeling of PTD fringe waves
,”
Appl. Comput. Electromagn. Soc. J.
32
(
7
),
600
607
, available at http:///www.aces-society.org/includes/downloadpaper.php?of=ACES_Journal_July_2017_Paper_8&nf=17-7-8.
6.
Apaydin
,
G.
,
Sevgi
,
L.
, and
Ufimtsev
,
P. Y.
(
2017b
). “
Extension of PTD for finite objects with rounded edges: Diffraction at a soft trilateral cylinder
,”
IEEE Antennas Wireless Propag. Lett.
16
,
2590
2593
.
7.
Chambers
,
J. P.
, and
Berthelot
,
Y. H.
(
1994
). “
Time-domain experiments on the diffraction of sound by a step discontinuity
,”
J. Acoust. Soc. Am.
96
(
3
),
1887
1892
.
8.
Elsherbeni
,
A.
, and
Hamid
,
M.
(
1985
). “
Diffraction by a wide double wedge with rounded edges
,”
IEEE Trans. Antennas Propag.
33
(
9
),
1012
1015
.
9.
Hallidy
,
W.
(
1985
). “
On uniform asymptotic Green's functions for the perfectly conducting cylinder tipped wedge
,”
IEEE Trans. Antennas Propag.
33
(
9
),
1020
1025
.
10.
Hamid
,
M.
(
1973
). “
Diffraction coefficient of a conducting wedge loaded with a cylindrical dielectric slab at the apex
,”
IEEE Trans. Antennas Propag.
21
(
3
),
398
399
.
11.
Harrington
,
R. F.
(
1993
).
Field Computation by Moment Methods
(
Wiley-IEEE Press
,
New York
), pp.
41
58
.
12.
Lucido
,
M.
,
Panariello
,
G.
, and
Schettino
,
F.
(
2006
). “
Analysis of the electromagnetic scattering by perfectly conducting convex polygonal cylinders
,”
IEEE Trans. Antennas Propag.
54
(
4
),
1223
1231
.
13.
Mitzner
,
K. M.
,
Kaplin
,
K. J.
, and
Cashen
,
J. F.
(
1990
).
How Scattering Increases as an Edge is Blunted: The Case of an Electric Field Parallel to the Edge
(
Springer
,
New York)
, pp.
319
338
.
14.
Rozynova
,
A. M.
, and
Xiang
,
N.
(
2017
). “
Secondary surface sources at rigid wedges based on the physical theory of diffraction
,”
J. Acoust. Soc. Am.
141
(
5
),
3785
3785
.
15.
Ufimtsev
,
P. Y.
(
1989
). “
Theory of acoustical edge waves
,”
J. Acoust. Soc. Am.
86
(
2
),
463
474
.
16.
Ufimtsev
,
P. Y.
(
2006
). “
Improved theory of acoustic elementary edge waves
,”
J. Acoust. Soc. Am.
120
(
2
),
631
635
.
17.
Ufimtsev
,
P. Y.
(
2009
).
Theory of Edge Diffraction in Electromagnetics. Origination and Validation of the Physical Theory of Diffraction
(
Revised printing, SciTech Publishing Inc.
,
Raleigh, NC
), pp.
45
112
.
18.
Ufimtsev
,
P. Y.
(
2013
). “
The 50-year anniversary of the PTD: Comments on the PTD's origin and development
,”
IEEE Antennas Propag. Mag.
55
(
3
),
18
28
.
19.
Ufimtsev
,
P. Y.
(
2014
).
Fundamentals of the Physical Theory of Diffraction
(
Wiley
,
Hoboken, NJ
), pp.
140
151
.
20.
Uslu
,
M. A.
,
Apaydin
,
G.
, and
Sevgi
,
L.
(
2014
). “
Double tip diffraction modeling: Finite difference time domain vs. method of moments
,”
IEEE Trans. Antennas Propag.
62
(
12
),
6337
6343
.
21.
Vasiliev
,
E. N.
,
Solodukhov
,
V. V.
, and
Fedorenko
,
A. I.
(
1991
). “
The integral equation method in the problem of electromagnetic waves diffraction by complex bodies
,”
Electromagnetics
11
(
2
),
161
182
.
22.
Xiang
,
N.
, and
Rozynova
,
A.
(
2017
). “
Exploring the physical theory of diffraction for solutions of wedge fields in room-acoustic simulation
,”
J. Acoust. Soc. Am.
141
(
5
),
3785
3785
.
23.
Yarmakhov
,
G.
(
2004
). “
Investigation of diffraction of electromagnetic waves at edges of perfectly conducting and impedance wedges with a rounded edge
,”
J. Commun. Technol. Electron.
49
(
4
),
379
[in Russian: Radiotekhnika I Elektronika 36(10), 1887–1895 (1991)].
You do not currently have access to this content.