Ultrasound Systems

3D-Printed Acoustic Masks

A concave shell printed in PLA, filled with a non-Newtonian gel, clipped onto a flat linear array. The transmit converges. The frame rate does not move.

47.31%
Lateral resolution
improvement
44.57%
Intensity
improvement
0.238
dB/cm-MHz
attenuation
13.60%
Mass lost in
10 days

One radius, and the rest of the mask follows

Pick a radius of curvature. Thickness, edge height and focal length are fixed by it, through the same two equations used to design the fabricated lenses.

Cross section of a 128-element linear array with a concave acoustic mask beneath it. The mask is thinnest at the centre of the aperture and thickest at its edges.
Sagitta T
3.54mm
Edge height T + Tc
13.54mm
Focal length F
1562.5mm
Ra = F (1 − cm/cl)   ·   T = Ra − √|Ra2 − (L/2)2|

Drawn for the fabricated configuration: L = 38.40 mm aperture, 128 elements at 0.30 mm pitch, collar thickness Tc = 10.00 mm. The depth axis rescales with the mask, so compare the labelled millimetres rather than the shape. cm = 1540 m/s in tissue and cl = 1595 m/s in the non-Newtonian fluid. The drawing is an illustration of the design parameterisation in the papers, not measured data. The simulated pressure fields further down are the measured convergence.

Focusing costs frame rate, and gel costs hours

Clinicians pick the probe to suit the depth. Linear arrays for the near field, convex probes for the far field. In both cases the transmit is focused with electronic delays, and that focusing caps the frame rate at roughly 50 fps, because every focal zone needs its own transmit event.

Plane wave imaging removes the cap by firing every element at once, but it gives up the focused transmit beam and the lateral resolution that comes with it. For a wearable system the trade is worse still: delays mean transmit events, transmit events mean time, and time on a moving body means motion artefact.

There is a second problem underneath the first. A rigid probe strapped to a curved surface makes imperfect edge contact, and the hydrogel filling the gap dehydrates within hours. Elastomer couplants last longer but damp the deep-tissue return. Continuous imaging with a conventional couplant is measured in hours, not days.

Move the focusing out of the electronics and into a passive part that clips onto the probe.

Nothing in the transmit sequence changes, so nothing in the frame rate changes either.

A printed shell with a curved cavity

The mask is a rectangular polylactic acid shell, 60 mm by 25 mm by 31 mm, printed on an Ultimaker 2+ by fused deposition modelling with a 0.40 mm nozzle at 240 °C. PLA was chosen because it is non-reactive with the gel, rigid enough to hold the boundary of the lens, and biocompatible enough for prototyping against skin.

Its inner face is not flat. It carries a concave arc of radius 53.88 mm, a value taken from the range of human neck diameters. That arc is the whole optical design: with the fluid faster than tissue, a concave interface converges the transmitted plane wave instead of diverging it.

The curved cavity is coated with a thin latex sheet, then filled with the non-Newtonian gel using a squeeze bottle and levelled with a glass rod to the brim. Volumetric measuring cylinders keep the fill quantity uniform across lenses, which is what makes lenses of different radii comparable to each other at all.

Body material
PLA
Outer structure
60×25×31mm
Radius of curvature
53.88mm
Sagitta T
3.54mm
Collar thickness
10.00mm
Edge thickness
13.54mm
Nozzle
0.40 mmat 240 °C
Focal length
1562.52mm
Isometric CAD illustration of the non-Newtonian fluid lens showing the printed rectangular mask, the concave gel cavity, the transducer array above it and the labelled radius of curvature, sagitta and collar thickness.
Fig. 1 Conceptual illustration of NNFL in an isometric view with RoC = 53.88 mm. From the Biomedical Engineering Advances paper.
Geometry of the concave acoustic lens drawn against the transducer array, with the radius of curvature, focal point and scatterer position labelled, alongside a photograph of the 3D printed concave lens mask fitted to a linear array probe.
Fig. 2 (a) Geometry of focused lens using concave structure, (b) 3D printed concave lens mask on linear array. From the ISBI 2022 paper.
Schematic cross sections of the fluid lens at three radii of curvature with their printed masks, a photograph of the data acquisition and processing rack, and a photograph of the experimental setup with the CIRS phantom and L11-5v probe.
Fig. 3 (a) Schematic diagram along with the mask for NNFL with three different RoCs. (b) Photograph of the Data acquisition and processing system. (c) Photograph of experimental setup with CIRS General Purpose US Phantom Model 054GS and US linear probe L11–5v.

Why a non-Newtonian fluid and not a gel pad

The filling is a saturated solution of polymerised sodium polyacrylate, a non-Newtonian fluid. It was chosen against three competing requirements that a solid lens cannot satisfy at once.

It has to be faster than tissue, or the concave interface diverges rather than converges. Measured by the direct speed-of-sound method at 7.6 MHz and 20 °C, it runs at 1595 m/s against the 1540 m/s assumed for tissue. Solid lenses reach a far higher speed of sound, up to 2680 m/s in reported designs, but they pay for it in impedance mismatch.

It has to be quiet. Attenuation of 0.238 dB/cm-MHz and an acoustic impedance of 2.0798 MRayls sit closer to tissue than the solid lenses in the literature, so less energy is lost reflecting off the lens boundary on the way in and on the way back.

It has to stay put. Its rheology holds the shape of the cavity, holds contact at the probe edges on a curved surface, and resists drying. That last property is what turns a benchtop trick into something wearable.

Composition
Sodium polyacrylate
Speed of sound
1595m/s
Attenuation
0.238dB/cm-MHz
Density
1303kg/m3
Impedance
2.0798MRayls
Acidity
7.00pH, neutral

Speed of sound, attenuation and density measured at 7.6 MHz and 20 °C. The coupling-media paper reports 0.328 dB/cm/MHz for the same fluid used as a couplant rather than as a lens filling, across 4.60 to 10.60 MHz. Impedance and pH are from the coupling-media paper’s Table 1, where the conventional acoustic gel measured 1260 kg/m3 and 1.9656 MRayls at the same pH.

The beam converges, and the images follow

The convergence was checked first in simulation with k-Wave, recording maximum beam pressure over the axial and lateral planes for a 128-element array with and without the mask. The pre-focal region develops the tapered high-pressure zone that a converging wavefront produces, and it is absent without the lens.

Note what the reflected path does. The insonified wave converges, but the echoes returning through the gel-to-medium interface diverge, which is the transmit case run in reverse. The receive beamformer has to account for the refraction at the arc, so the two-way travel time is computed as three segments: through the lens at cl, out to the scatterer at cm, and back.

Simulated maximum pressure maps over axial and lateral position for a linear array with zero angle plane wave transmit, without a lens and with the concave lens mask, showing a converging beam only in the second case.
Fig. 4 (a) Beam pattern for the linear array with zero angle planewave transmit, (b) Beam pattern for the linear array with concave lens mask and zero angle planewave transmit. Simulated in k-Wave for the 16-element case.
Maximum beam pressure over axial and lateral planes computed in k-Wave for a 128-element linear array without and with the non-Newtonian fluid lens.
Fig. 5 Maximum beam pressure calculated on axial and lateral planes using k-Wave for Linear array with 128 elements (a) without NNFL (b) with NNFL.

Then in water, then in a phantom, then in a person

The experimental chain used an L11–5v linear probe on a Verasonics Vantage 128-channel system at 7.6 MHz centre frequency. Transmit was 51 plane waves steered from −18° to +18° in 0.72° steps, reconstructed with delay-and-sum. The targets were a wire phantom in water, a CIRS General Purpose Ultrasound Phantom Model 054GS, and in vivo the human carotid artery, upper arm and index finger.

No delay adjustment was applied to compensate for the known speed of sound inside the lens region. The authors note this would improve image quality further, which means the numbers below are a floor rather than a ceiling.

Eight panel montage: simulated pin phantom B-mode images with and without the concave lens, water pin phantom images with and without the lens, lateral and axial line plots through the pin, and cross sectional carotid images with and without the lens.
Fig. 6 (a) B-Mode image of simulated pin phantom with no lens, (b) with concave lens, (c) B-Mode image of water pin phantom with no lens, (d) with concave lens, (e) Lateral line plots along the pin for (a, b), (f) Axial line plots along the pin for (a, b), (g) Cross-sectional B-Mode image of carotid with no lens, (h) with concave lens. The difference in scale in (g, h) is due to the collar thickness of 10 mm in the concave lens.
Resolution at −3 dB, ISBI 2022, values in 10−4 mm
MeasurementNo lensConcave lensImprovement
Axial, simulation181233.33 %
Lateral, simulation402147.50 %
Axial, experiment1.72481.23228.57 %
Lateral, experiment3.001.9036.67 %

Axial resolution gains less than lateral, and the papers are explicit about why: transmit frequency and bandwidth are unchanged, and the reconstruction is on a rectangular grid, so focusing is not expected to sharpen the axial direction.

Smaller radius, tighter beam

Three masks were fabricated at 53.88, 28.80 and 19.20 mm radius, printed in distinct PLA colours purely so they could be told apart on the bench. Across the sweep, clutter falls and intensity rises as the radius shrinks, which is the behaviour the geometry predicts and a useful handle for focused ultrasound applications. Contrast-to-noise ratio peaks at R = 19.20 mm and 7.60 MHz.

Photographs of the printed lens masks above two rows of B-mode images: a wire phantom and a human index finger, each imaged with no lens and with fluid lenses of 53.88, 28.80 and 19.2 mm radius of curvature.
Fig. 7 US B-mode images of wire phantom at dynamic range of 60 dB with (a) No-lens, (b) NNFL with R = 53.88 mm, (c) NNFL with R = 28.80 mm, (d) NNFL with R = 19.2 mm. US B-mode images of human index finger with (e) No-lens, (f) R = 53.88 mm, (g) R = 28.80 mm, (h) R = 19.2 mm.
Image quality with the fluid lens, Biomedical Engineering Advances 2025
MetricChange with the lens
Lateral resolution, averaged over depth47.31 % improvement
Axial intensity44.57 % improvement
Contrast ratio54.33 % improvement
Contrast-to-noise ratio83.30 % improvementgreater than 3 dB
Peak near-field intensity15 to 20 % increasebelow 5 mm, where geometric focusing is minimal
Axial resolutionnegligible change

The near-field gain is not focusing. It comes from the interface: the fluid impedance of about 2.08 MRayls cuts transmission loss at the transducer boundary, and the concave profile shapes the beam weakly even before the geometry takes over.

Against the acoustic lens literature

Lateral resolution
Eight reported lens designs improve it by 20.00 to 32.59 %. The fluid lens reaches 47.31 %.
Intensity
Reported designs cluster between 4.00 and 10.50 %. The fluid lens reaches 44.57 %.
Attenuation
Reported designs run from 0.38 up to 2.00 dB/cm/MHz, several only bounded as greater than 1 or 2. The fluid lens measures 0.238.
Impedance
Reported designs sit at or above 2 MRayls, one at 3.16. The fluid lens measures 2.0798, the closest to tissue among those with a stated value.
Aperture
Most reported lenses are small-aperture. This one is large-aperture, covering the full 38.40 mm of a 128-element array.

What happens on day five

A lens that images well for an hour is a lens, not a wearable. The dehydration test put 5.00 g of the non-Newtonian gel and 5.00 g of conventional acoustic gel in identical printed masks, held at 20 °C with minimal airflow, and weighed both daily for ten days.

After ten days the fluid lens had lost 13.60 % of its mass. The acoustic gel had lost 50.40 %. In the parallel imaging series the difference shows up as a hard stop: B-mode images could be acquired with conventional gel only through day four, and from day five the gel had dried past usability. Lateral resolution and contrast-to-noise ratio for the non-Newtonian gel stayed essentially flat across the whole ten days.

The same fluid was also tested as a couplant in its own right, filling the gap between a rigid probe and a curved surface. On moulds imitating human curvature, lateral resolution improved by 35 % over conventional gel at the R 58.33 configuration, with a 3.5 % higher density that improves edge contact and makes trapped air bubbles less likely. Skin compatibility was checked over 24 hours of continuous contact, with no irritation, lesion, pigmentation or oedema, at a neutral pH of 7.

Mass of the acoustic coupler plotted against day over ten days, comparing the non-Newtonian fluid lens with conventional acoustic gel.
Fig. 8 Dehydration plot with NNFL and acoustic gel.
Photographs of the 3D printed wearable ultrasound probe mount with its bead, the mount holding an L11-5v probe against a curved surface, the Verasonics acquisition rack, and the water tank measurement setup.
Fig. 9 (a) 3D printed WUS Probe Mount, with individual bead and mount separately portrayed. (b) WUS Probe Mount with L11–5v mounted on curved surface for B-mode imaging. (c) Experimental setup involving Verasonics 128 channel system. (d) Water tank experimental setup for measurement of acoustic amplitude and lateral resolution.
Two rows of B-mode phantom images taken over ten days. The top row with the non-Newtonian gel spans days one to ten. The bottom row with conventional acoustic gel goes dark after day four.
Fig. 10 B-mode images of the CIRS General Purpose Ultrasound Phantom Model 054GS taken over ten days, sampled at days 1 to 4, 6, 8 and 10 with the proposed NNFAC gel in the first row and conventional acoustic gel in the second row, at 60 dB dynamic range. Images with conventional acoustic gel cannot be obtained from day 5 due to high dehydration.

What the spherical arc still costs

The design ignores refraction and diffraction at the spherical geometry for simplicity. That simplification has a price: paraxial error across a spherical surface produces destructive interference between reflections arriving from different depths. Paraxial approximations in the design, or a metastructure lens in place of the plain arc, are the stated routes out.

The receive path leaves something on the table too. No delay adjustment compensates for the known speed of sound inside the lens, though the value has been measured. Folding it into the beamformer is a software change with no hardware cost.

The direction of travel is the same one the flexible array work is on. A passive part that upgrades an existing probe, rather than a new probe, keeps the wiring, the power budget and the frame rate exactly where they were.

In vivo imaging in this work was performed in line with the principles of the Declaration of Helsinki, and the coupling-media tests followed National Institutes of Health procedures.

The three papers behind this page

Biomedical Engineering Advances 2025

Non-newtonian fluid lens for wearable planewave ultrasound imaging system

Pisharody Harikrishnan Gopalakrishnan · Mahesh Raveendranatha Panicker
Biomedical Engineering Advances, vol. 9, art. 100173, June 2025. Open access under CC BY. Centre for Computational Imaging, IIT Palakkad, and Infocomm Technology Cluster, Singapore Institute of Technology.
Sensors and Actuators A 2024

Non-Newtonian fluid coupling media for wearable ultrasound imaging systems using rigid linear sensor array

Pisharody Harikrishnan Gopalakrishnan · Mahesh Raveendranatha Panicker
Sensors and Actuators A: Physical, vol. 376, art. 115588, October 2024.
IEEE ISBI 2022

Extending the Capability of Linear Array Ultrasound Probe to Concave Array Using Low-Cost Acoustic Lens for High Frame Rate Focused Imaging

Pisharody Harikrishnan Gopalakrishnan · Mahesh Raveendranatha Panicker
2022 IEEE 19th International Symposium on Biomedical Imaging, pp. 1–4, March 2022. Centre for Computational Imaging, IIT Palakkad. Supported by DST-SERB grant ECR/2018/001746. Related: India Patent No. 202141036310, Array Adaptive Ultrasound Apparatus for Variable Field of View Imaging, September 2021.