A unique non-diffracting hybrid order longitudinal Bessel beam with pronounced resilience to scattering using acoustic metamaterial, which we call hybrid Bessel beams (HYBEs), is currently unknown. Newly proposed hybrid Bessel beams are different than the conventional cross-sectional Bessel beams. In this article, we explain the physics of multifunctional ultrasonic capabilities of a bioinspired interlocking architecture of acoustic metamaterial. At first, for the newly proposed metastructure, understanding the physics and wave energy is predictively focused through attenuative surfaces at various ultrasonic frequencies (∼120 to ∼130 kHz). Finally, a zero-order first of its kind ultrasonic Bessel-like beam between frequencies of ∼265 and ∼272 kHz is shown propagating a long distance through the base material. The new propagation had minimal reduction in energy amplitude, while the displacement was nearly constant across the depth of the wave guide following a second-order Bessel function of the first kind. To explain the physics of the phenomena, mode shapes in the frequency-wavenumber domain are investigated. Furthermore, identification of the propagating wave vector using equi-frequency contours at multiple ranges confirmed the presence of the proposed acoustic features. These abilities of the proposed metamaterial have key advantages to propagate waves deeper into thick attenuative and aberrative structures such as brain tissue, soft skin and muscles, paint surface, and non-accessible composite materials. We envision potential applications of the proposed HYBE for the non-destructive evaluation (NDE) of attenuative materials that are not easily accessible for testing. To verify the wave focusing and long-distance wave propagation, an ad hoc metamaterial lens for the conventional NDE transducer is proposed, which demonstrated wave propagation through a 10 mm thick carbon fiber reinforced polymer composite structure.

1.
D.
Chakraborty
and
M.E.
McGovern
, “NDE 4.0: Smart NDE,” in 2019 IEEE International Conference on Prognostics and Health Management (ICPHM) (IEEE, 2019).
2.
S.
Liu
 et al, “
Nondestructive evaluation 4.0: Ultrasonic intelligent nondestructive testing and evaluation for composites
,”
Res. Nondestr. Eval.
32
,
370
388
(
2020
).
3.
Z.
Wang
and
Y.
Yu
, “
Thickness and conductivity measurement of multilayered electricity-conducting coating by pulsed eddy current technique: Experimental investigation
,”
IEEE Trans. Instrum. Meas.
68
(
9
),
3166
3172
(
2018
).
4.
M.
Kishore
 et al, “
Quantitative evaluation of partial delamination in thermal barrier coatings using ultrasonic C-scan imaging
,”
Int. J. Precis. Eng. Manuf.
21
,
157
165
(
2020
).
5.
C.
Xu
 et al, “
A novel high-frequency ultrasonic approach for evaluation of homogeneity and measurement of sprayed coating thickness
,”
Coatings
10
(
7
),
676
(
2020
).
6.
A.
Ali
,
M.
El Badawe
, and
O. M.
Ramahi
, “
Microwave imaging of subsurface flaws in coated metallic structures using complementary split-ring resonators
,”
IEEE Sens. J.
16
(
18
),
6890
6898
(
2016
).
7.
J.
Li
and
J. L.
Rose
, “
Angular-profile tuning of guided waves in hollow cylinders using a circumferential phased array
,”
IEEE Trans. Ultrason. Eng.
49
(
12
),
1720
1729
(
2002
).
8.
M.
Converse
,
Multifunctional Metamaterials
(Lawrence Livermore National Laboratory,
Livermore
,
CA
,
2016
).
9.
N.
Fleck
,
V.
Deshpande
, and
M.
Ashby
, “
Micro-architectured materials: Past, present and future
,”
Proc. R. Soc. A
466
(
2121
),
2495
2516
(
2010
).
10.
V.
Tavaf
 et al, “
Effect of multiscale precursor damage on wave propagation through modulated constitutive properties of composite materials
,” in
Health Monitoring of Structural and Biological Systems XII
(
International Society for Optics and Photonics
,
2018
).
11.
V.
Tavaf
 et al, “
Quantification of material degradation and its behavior of elastodynamic Green’s function for computational wave field modeling in composites
,”
Mater. Today Commun.
17
,
402
412
(
2018
).
12.
M.
Ashby
, “
On the engineering properties of materials, Overview No. 80
,”
Acta Metall.
37
(
5
),
1273
1293
(
1989
).
13.
G. W.
Kooistra
,
V. S.
Deshpande
, and
H. N.
Wadley
, “
Compressive behavior of age hardenable tetrahedral lattice truss structures made from aluminium
,”
Acta Mater.
52
(
14
),
4229
4237
(
2004
).
14.
V.
Tavaf
,
M.
Saadatzi
, and
S.
Banerjee
, “
Quantification of degraded constitutive coefficients of composites in the presence of distributed defects
,”
J. Compos. Mater.
53
,
2517
(
2019
).
15.
H.
Ahmed
 et al, “
Investigation of wave trapping and attenuation phenomenon for a high symmetry interlocking micro-structure composite metamaterial
,”
Proc. SPIE
10973
,
109730W
(
2019
).
16.
M.
Saadatzi
 et al, “
AEVE 3d: Acousto electrodynamic 3-dimensional vibration exciter for engineering testing
,”
IEEE/ASME Trans. Mechatron.
23
,
1897
(
2018
).
17.
M.
Saadatzi
 et al, “
An electro-dynamic 3-dimensional vibration test bed for engineering testing
,” in
Industrial and Commercial Applications of Smart Structures Technologies 2017
(
International Society for Optics and Photonics
,
2017
).
18.
F.
Mir
 et al, “
The possibility of harvesting electrical energy from industrial noise barriers using meta-wall bricks
,” in
Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems 2018
(
International Society for Optics and Photonics
,
2018
).
19.
N.
Whitmore
 et al, “Full wavefield modeling with vector reflectivity,” in 82nd EAGE Annual Conference & Exhibition (European Association of Geoscientists & Engineers, 2020).
20.
Y.
Sun
and
E.
Verschuur
, “Full wavefield modeling using rigorous one-way propagation, reflection and transmission operators,” in SEG Technical Program Expanded Abstracts 2020 (Society of Exploration Geophysicists, 2020), pp. 2694–2698.
21.
K.
Somasundaram
and
P.
Kalavathi
, “
Contour-based brain segmentation method for magnetic resonance imaging human head scans
,”
J. Comput. Assist. Tomogr.
37
(
3
),
353
368
(
2013
).
22.
R.
Jurkonis
 et al, “
Quantification of endogenous brain tissue displacement imaging by radiofrequency ultrasound
,”
Diagnostics
10
(
2
),
57
(
2020
).
23.
M.
Makūnaitė
 et al, “Ultrasonic mapping of endogenous motion in brain tissue,” in 2019 IEEE International Ultrasonics Symposium (IUS) (IEEE, 2019).
24.
G. J.
Murray
and
F.
Gandhi
, “
Auxetic honeycombs with lossy polymeric infills for high damping structural materials
,”
J. Intell. Mater. Syst. Struct.
24
(
9
),
1090
1104
(
2013
).
25.
M. M.
Indaleeb
 et al, “
Deaf band based engineered Dirac cone in a periodic acoustic metamaterial: A numerical and experimental study
,”
Phys. Rev. B
99
(
2
),
024311
(
2019
).
26.
M. M.
Indaleeb
 et al, “
Deaf band-based prediction of Dirac cone in acoustic metamaterials
,”
J. Appl. Phys.
127
(
6
),
064903
(
2020
).
27.
Y.
Estrin
,
A. V.
Dyskin
, and
E.
Pasternak
, “
Topological interlocking as a material design concept
,”
Mater. Sci. Eng. C
31
(
6
),
1189
1194
(
2011
).
28.
K. S.
Novoselov
 et al, “
Two-dimensional gas of massless Dirac fermions in graphene
,”
Nature
438
(
7065
),
197
200
(
2005
).
29.
Y.
Zhang
 et al, “
Experimental observation of the quantum Hall effect and Berry's phase in graphene
,”
Nature
438
(
7065
),
201
204
(
2005
).
30.
A. C.
Neto
 et al, “
The electronic properties of graphene
,”
Rev. Mod. Phys.
81
(
1
),
109
(
2009
).
31.
F. O.
Fahrbach
and
A.
Rohrbach
, “
Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media
,”
Nat. Commun.
3
(
1
),
1
8
(
2012
).
32.
Z.
Li
 et al, “
Generation of an axially asymmetric Bessel-like beam from a metallic subwavelength aperture
,”
Phys. Rev. Lett.
102
(
14
),
143901
(
2009
).
33.
J.
Durnin
, “
Exact solutions for nondiffracting beams. I. The scalar
,”
J. Opt. Soc. Am.
4
(
4
),
651
654
(
1986
).
34.
J.
Durnin
,
J.
Miceli
, Jr.
, and
J. H.
Eberly
, “
Diffraction-free beams
,”
Phys. Rev. Lett.
58
(
15
),
1499
1501
(
1987
).
35.
Z.
Bouchal
,
J.
Wagner
, and
M.
Chlup
, “
Self-reconstruction of a distorted nondiffracting beam
,”
Opt. Commun.
151
(
4
),
207
211
(
1998
).
36.
P. L.
Marston
, “
Scattering of a Bessel beam by a sphere
,”
J. Acoust. Soc. Am.
121
(
2
),
753
758
(
2007
).
37.
X.
Jiang
 et al, “
Broadband and stable acoustic vortex emitter with multi-arm coiling slits
,”
Appl. Phys. Lett.
108
(
20
),
203501
(
2016
).
38.
S.
Jimenez-Gambin
 et al, “
Generating Bessel beams with broad depth-of-field by using phase-only acoustic holograms
,”
Sci. Rep.
9
(
1
),
20104
(
2019
).
39.
F.
He
 et al, “
Tailoring femtosecond 1.5-μm Bessel beams for manufacturing high-aspect-ratio through-silicon vias
,”
Sci. Rep.
7
(
1
),
40785
(
2017
).
40.
F. G.
Mitri
, “
Single Bessel tractor-beam tweezers
,”
Wave Motion
51
(
6
),
986
993
(
2014
).
41.
J.
Arlt
 et al, “
Optical micromanipulation using a Bessel light beam
,”
Opt. Commun.
197
(
4
),
239
245
(
2001
).
42.
G.
Di Domenico
 et al, “
Miniaturized photogenerated electro-optic axicon lens Gaussian-to-Bessel beam conversion
,”
Appl. Opt.
56
(
10
),
2908
2911
(
2017
).
43.
F. O.
Fahrbach
,
P.
Simon
, and
A.
Rohrbach
, “
Microscopy with self-reconstructing beams
,”
Nat. Photonics
4
(
11
),
780
785
(
2010
).
44.
R. A.
Leitgeb
 et al, “
Extended focus depth for Fourier domain optical coherence microscopy
,”
Opt. Lett.
31
(
16
),
2450
2452
(
2006
).
45.
G.
Di Domenico
 et al, “
Cancellation of Bessel beam side lobes for high-contrast light sheet microscopy
,”
Sci. Rep.
8
(
1
),
17178
(
2018
).
46.
T. A.
Planchon
 et al, “
Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination
,”
Nat. Methods
8
(
5
),
417
423
(
2011
).
47.
G.
Antonacci
,
D.
Caprini
, and
G.
Ruocco
, “
Demonstration of self-healing and scattering resilience of acoustic Bessel beams
,”
Appl. Phys. Lett.
114
(
1
),
013502
(
2019
).
48.
J.-Y.
Lu
and
J. F.
Greenleaf
, “
Ultrasonic nondiffracting transducer for medical imaging
,”
IEEE Trans. Ultrason. Eng.
37
(
5
),
438
447
(
1990
).
49.
J.-Y.
Lu
 et al, “
In vitro and in vivo real-time imaging with ultrasonic limited diffraction beams
,”
IEEE Trans. Med. Imaging
12
(
4
),
819
829
(
1993
).
50.
J.-Y.
Lu
 et al, “
Application of Bessel beam for Doppler velocity estimation
,”
IEEE Trans. Ultrason. Eng.
42
(
4
),
649
662
(
1995
).
51.
N.
Jiménez
 et al, “
Formation of high-order acoustic Bessel beams by spiral diffraction gratings
,”
Phys. Rev. E
94
(
5
),
053004
(
2016
).
52.
Z.
Hong
,
J.
Zhang
, and
B. W.
Drinkwater
, “
Observation of orbital angular momentum transfer from Bessel-shaped acoustic vortices to diphasic liquid-microparticle mixtures
,”
Phys. Rev. Lett.
114
(
21
),
214301
(
2015
).
53.
J.-Y.
Lu
and
J. F.
Greenleaf
, “
Pulse-echo imaging using a nondiffracting beam transducer
,”
Ultrasound Med. Biol.
17
(
3
),
265
281
(
1991
).
54.
S.
Haldar
,
T.
Sain
, and
S.
Ghosh
, “
A novel high symmetry interlocking micro-architecture design for polymer composites with improved mechanical properties
,”
Int. J. Solids Struct.
124
,
161
175
(
2017
).
55.
A.
Metrikine
and
H.
Askes
, “
An isotropic dynamically consistent gradient elasticity model derived from a 2D lattice
,”
Philos. Mag.
86
(
21–22
),
3259
3286
(
2006
).
56.
H.
Ahmed
 et al, “
Multifunction acoustic modulation by a multi-mode acoustic metamaterial architecture
,”
J. Phys. Commun.
2
(
11
),
115001
(
2018
).
57.
D. W.
Prather
 et al,
Photonic Crystals, Theory, Applications and Fabrication
(John Wiley & Sons, Inc.,
2009
).
58.
H.
Zhu
and
F.
Semperlotti
, “
Phononic thin plates with embedded acoustic black holes
,”
Phys. Rev. B
91
(
10
),
104304
(
2015
).
You do not currently have access to this content.