journal article·2026-10-01Open access

A holographic GRIN lens for broadband, highly directive, and aberration-free echo detection

Jinhu Zhang, Sheng Liu, Chen Yang, Nana Zhou, Erqian Dong, Zhenxuan Bu, Wei Zheng, Fei Zhang, Zhongchang Song, Yu Zhang

Abstract

Abstract Directing wave energy through strongly aberrating media poses a fundamental challenge in wave physics. This problem is especially critical in underwater acoustics, where the hydrodynamic domes of autonomous underwater vehicles inevitably distort sonar wavefronts. This aberration leads to degraded beam quality and a significantly reduced detection range. Here, we address this long-standing challenge with a passive and broadband holographic gradient-index lens designed based on time-reversal invariance and high-frequency approximation principles. The lens is realized with a soft, water-impedance-matched tungsten-silicone metamaterial with a highly stable refractive index under key marine environmental factors such as temperature and salinity. This allows the lens to powerfully correct severe aberrations while simultaneously collimating sound into a highly directive beam over a wide operational band of 20–45 kHz. This metamaterial-based approach achieves significant performance improvements, achieving approximately four-fold beam sharpening from over 65° to 16°–30° and increasing the on-axis source level by more than 10 dB. In practical underwater detection scenarios, it achieves over 10 dB of reverberation suppression and significantly increases the effective detection range. Our work establishes a new and versatile design platform for advanced wavefront engineering with broad application prospects in underwater acoustic sensing and beyond.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Acoustic Wave Phenomena Research · Metamaterials and Metasurfaces Applications · Underwater Acoustics Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Key Laboratory of Underwater Acoustic Communication and Marine Information Technology of the Ministry of Education, College of Ocean and Earth Sciences, Xiamen University

University of Hong Kong

State Key Laboratory of Submarine Geoscience, School of Ocean and Civil Engineering, Shanghai Jiao Tong University

Funding

National Natural Science Foundation of China · the Science and Technology Projects of Xiamen municipal Bureau of Science and Technology · Fuzhou-Xiamen-Quanzhou National Independent Innovation Demonstration Zone Collaborative Innovation Platform Project · National Key Research and Development Program of China · Basic and Applied Basic Research Foundation of Guangdong Province · China Scholarship Council program

References (72)

Show source-provided references
1. Autonomous Underwater Vehicles (AUVs): their past, present and future contributions to the advancement of marine geoscience10.1016/j.margeo.2014.03.012 ↗
2. Hull shape optimization of autonomous underwater vehicles using a full turbulent continuous adjoint solver10.1016/j.oceaneng.2024.119256 ↗
3. The effects of head form on resistance performance and flow characteristics for a streamlined AUV hull design10.1016/j.oceaneng.2022.111630 ↗
4. Hull shape optimization for autonomous underwater vehicles using CFD
5. On spatial aliasing in microphone arrays10.1109/TSP.2008.2010596 ↗
6. Dynamic and high-precision sound manipulation by acoustic metamaterial-empowered phased arrays10.1002/adfm.202425833 ↗
7. Ultrasound matrix imaging for 3D transcranial in vivo localization microscopy10.1126/sciadv.adt9778 ↗
8. Three-dimensional ultrasound matrix imaging10.1038/s41467-023-42338-8 ↗
9. Ultrasound matrix imaging—Part II: the distortion matrix for aberration correction over multiple isoplanatic patches10.1109/TMI.2022.3199483 ↗
10. Distortion matrix approach for ultrasound imaging of random scattering media10.1073/pnas.1921533117 ↗
11. Locally resonant sonic materials10.1126/science.289.5485.1734 ↗
12. Acoustic metamaterials: from local resonances to broad horizons10.1126/sciadv.1501595 ↗
13. Underwater acoustic metamaterials10.1093/nsr/nwac246 ↗
14. Breaking the barriers: advances in acoustic functional materials10.1093/nsr/nwx154 ↗
15. Seven-octave ultrabroadband metamaterial absorbers via quality-factor-weighted mode density modulation10.1093/nsr/nwaf199 ↗
16. Versatile standing wave generation between arbitrarily oriented surfaces using acoustic metasurface deflectors and retroreflectors10.1002/aisy.202400474 ↗
17. Non-local and non-Hermitian acoustic metasurfaces10.1088/1361-6633/acfbeb ↗
18. Audible enclaves crafted by nonlinear self-bending ultrasonic beams10.1073/pnas.2408975122 ↗
19. Remote water-to-air eavesdropping with a phase-engineered impedance matching metasurface10.1002/adma.202301799 ↗
20. Water–air acoustic communication based on broadband impedance matching10.1063/5.0168562 ↗
21. Lotus metasurface for wide-angle intermediate-frequency water–air acoustic transmission10.1021/acsami.1c16043 ↗
22. Static passive meta-sonar for dynamic sound beam scanning10.1016/j.scib.2023.07.033 ↗
23. Holographic sonar imaging via soft meta-structures10.1016/j.device.2025.100718 ↗
24. High-resolution manifold acoustic holography based on high-pixel-array binary metasurfaces10.1002/adma.202420229 ↗
25. Holograms for acoustics10.1038/nature19755 ↗
26. Acoustic holography using composite metasurfaces10.1063/1.5132629 ↗
27. Decorated bacteria-cellulose ultrasonic metasurface10.1038/s41467-023-41172-2 ↗
28. Refined acoustic holography via nonlocal metasurfaces10.1007/s11433-023-2359-6 ↗
29. Acoustic metasurfaces10.1038/s41578-018-0061-4 ↗
30. Acoustic metaholograms for encrypted information transmission10.1103/PhysRevApplied.20.044048 ↗
31. Broadband tunable lossy metasurface with independent amplitude and phase modulations for acoustic holography10.1088/1361-665X/abaa98 ↗
32. Soft metalens for broadband ultrasonic focusing through aberration layers10.1038/s41467-024-55022-2 ↗
33. Holograms to focus arbitrary ultrasonic fields through the skull10.1103/PhysRevApplied.12.014016 ↗
34. Transcranial focusing of ultrasonic vortices by acoustic holograms10.1103/PhysRevApplied.14.054070 ↗
35. Anisotropic complementary acoustic metamaterial for canceling out aberrating layers10.1103/PhysRevX.4.041033 ↗
36. Complementary acoustic metamaterial for penetrating aberration layers10.1021/acsami.2c06227 ↗
37. Non-hermitian complementary acoustic metamaterials for imaging through skull with imperfections10.3389/fmech.2020.00055 ↗
38. Programmable acoustic metasurfaces10.1002/adfm.201808489 ↗
39. Continuously tunable acoustic metasurface for transmitted wavefront modulation10.1103/PhysRevApplied.10.054066 ↗
40. Tunable acoustic metasurface for three-dimensional wave manipulations10.1103/PhysRevApplied.15.024026 ↗
41. Kinsler · 2000
42. Time reversal of ultrasonic fields. I. Basic principles.10.1109/58.156174 ↗
43. Acoustic time-reversal mirrors10.1088/0266-5611/17/1/201 ↗
44. A review on polymer-based materials for underwater sound absorption10.1016/j.polymertesting.2021.107115 ↗
45. Multiple scattering of waves10.1063/1.1703737 ↗
46. Mechanically robust and thermal insulating nanofiber elastomer for hydrophobic, corrosion-resistant, and flexible multifunctional electromagnetic wave absorbers10.1002/adfm.202419266 ↗
47. Suitability of silicone in soft-robotic exploration of terrestrial and extraterrestrial ocean worlds10.15407/knit2023.03.047 ↗
48. Superior surface protection, mechanical and hydrophobic properties of silanized tungsten carbide nanoparticles encapsulated epoxy nanocomposite coated steel structures in marine environment10.1007/s12633-022-01842-0 ↗
49. Incorporation of silicone oil into elastomers enhances barnacle detachment by active surface strain10.1080/08927014.2016.1209186 ↗
50. On the mechanism of marine fouling-prevention performance of oil-containing silicone elastomers10.1038/s41598-022-15553-4 ↗
51. Continuous multi-material additive manufacturing10.34133/research.0889 ↗
52. Additive manufacturing of multi-material structures10.1016/j.mser.2018.04.001 ↗
53. Phase‐change-enabled, rapid, high-resolution direct ink writing of soft silicone10.1002/adma.202109240 ↗
54. Laser‐assisted direct ink writing for high-fidelity fabrication of elastomeric complex structures10.1002/admi.202300300 ↗
55. Ultrasonic focusing through the ribs using the DORT method10.1118/1.3159755 ↗
56. Focal beam distortion and treatment planning for transrib focused ultrasound thermal therapy: a feasibility study using a two-dimensional ultrasound phased array10.1118/1.3298009 ↗
57. Achieving high-performance transcranial ultrasound transmission through Mie and Fano resonance in flexible metamaterials10.1002/advs.202500170 ↗
58. Binary acoustic metasurfaces for dynamic focusing of transcranial ultrasound10.3389/fnins.2022.984953 ↗
59. Multifrequency transcranial ultrasound holography with acoustic lenses10.1103/PhysRevApplied.21.014011 ↗
60. Ultrasonic inspection of curved structures with a hemispherical-omnidirectional ultrasonic probe via linear scan SAFT imaging10.1016/j.ndteint.2022.102650 ↗
61. Ultrasonic measurement model-based non-destructive detection method for curved components using an immersion spherically focused transducer10.1080/10589759.2021.1924168 ↗
62. Advanced ultrasonic non-destructive testing for damage detection on thick and curved composite elements for constructions10.1177/1099636212456861 ↗
63. Optimizing multi-user indoor sound communications with acoustic reconfigurable metasurfaces10.1038/s41467-024-45435-4 ↗
64. Shaping reverberating sound fields with an actively tunable metasurface10.1073/pnas.1801175115 ↗
65. A deep learning approach for the fast generation of acoustic holograms10.1121/10.0003959 ↗
66. Deep-learning-aided metasurface design for megapixel acoustic hologram10.1063/5.0136802 ↗
67. Deep learning-based framework for fast and accurate acoustic hologram generation10.1109/TUFFC.2022.3219401 ↗
68. Inverse design of phononic meta-structured materials10.1016/j.mattod.2024.09.012 ↗
69. Soft bio-metamaterials with high acoustic transparency and gradient refractive index for tunable acoustic beamformer10.1016/j.matt.2024.06.048 ↗
70. Magnetoactive acoustic metamaterials10.1002/adma.201706348 ↗
71. Sharkskin-inspired magnetoactive reconfigurable acoustic metamaterials10.34133/2020/4825185 ↗
72. Bioinspired hydrogel jellyfish with mechanical flexibility and acoustic transparency10.1016/j.xcrp.2022.101081 ↗