Steering single-element lead zirconate titanate ultrasound transducers using biaxial driving

Biaxial ultrasound driving technique for small animal blood-brain barrier opening

Biaxial driving can more efficiently convert electrical power to forward acoustic power in piezoelectric materials, and the interaction between the orthogonal electric fields can produce a combination of extensional and shear deformations as a function of the phase difference between them to allow dynamic steering of the beam with a single-element. In this study, we demonstrate for the first time the application of a single-element biaxially driven ring transducerin vivofor blood-brain barrier opening in mice, and compare it to that achieved with a conventional single-element highly focused (F# = 0.7) spherical transducer operating at a similar frequency. Transcranial focused ultrasound (0.45 MPa, 10 ms pulse length, 1 Hz repetition frequency, 30 s duration) was applied bilaterally to mice with a 40μl/kg bolus of DefinityTMmicrobubbles, employing either a single-element biaxial ring (1.482 MHz, 10 mm inner diameter, 13.75 mm outer diameter) or spherical (1.5 MHz, 35 mm diameter, F# = 0.7; RK50, FUS Instruments) transducer on each side. Follow-up MRI scans (T1 pre- and post- 0.2 mmol/kg Gd injection, T2) were acquired to assess blood-brain barrier opening volume and potential damage. Compared to blood-brain barrier opening achieved with a conventional single-element spherical focused transducer, the opening volume achieved with a single-element biaxial ring transducer was 35% smaller (p= 0.002) with a device of a ring diameter of 40% the aperture size. Axial refocusing was further demonstrated with the single-element biaxial ring transducer, yielding a 1.63 mm deeper, five-fold larger opening volume (p= 0.048) relative to its small-focus mode. The biaxial ring transducer achieved a more localized opening compared to the spherical focused transducer under the same parameters, and further enabled dynamic axial refocusing with a single-element transducer with a smaller fabrication footprint.

Higher harmonics dynamic focalization in single-element ring transducers using biaxial driving

Biaxial driving is a new driving technique that allows the steering of the ultrasound field generated by a single-element piezoceramic transducer. Because of their natural axisymmetric geometry, ultrasound generation with ring transducers can take advantage of the biaxial driving to change the focus of the beam generated by this type of transducer using only two driving signals. In this study, we applied the biaxial driving technique into a single-element PZT ring transducer operating at 500 kHz to produce a change in size and position of the focal spot while using the 1st (482 kHz), 3rd (1.362 MHz) and 5th (2.62 MHz) harmonic excitation. The transducer had a thickness of 2.85 mm, an inner diameter of 9.75 mm and a ring width of 2.0 mm, and two pairs of electrodes as required for biaxial driving. Simulation and experimental results showed that both the focal area and the distance at which the focal area centre was located changed as a function of the phase and power difference between the two driving signals. Experimental results showed that the focal area could be reduced from 31.6 mm² (conventional driving) to 3.4 mm² (89 % reduction) when using the first harmonic excitation. For the third harmonic, the focal area could be reduced from 4.0 mm² (conventional driving) to 3.3 mm² (17.5 % reduction). For the fifth harmonic, the focal area could be reduced from 1.7 mm² (conventional driving) to 1 mm² (41.7 % reduction). Results also demonstrated the centre of the focus could be displaced between 3.0 mm and 9.3 mm from the surface of the transducer when using the first harmonic, between 7.3 mm and 8.4 mm at the third harmonic, and between 4.9 mm and 8.2 mm at the fifth harmonic. The reduction in the focus area, as well as the possibility to displace the focus dynamically will be advantageous for preclinical applications of focused ultrasound, especially on drug delivery and neuromodulation studies in small rodents.

Passive Directivity Detection Using Individual Biaxial Ultrasound Transducers

Biaxial transducers are an emerging technology that can steer generated ultrasound waves using a single piezoceramic component. Simulations have also shown that biaxial transducers can passively estimate the direction of arrival (DOA) of sound waves when operating in the receive mode. This research seeks to experimentally verify biaxial directivity estimates and establish directivity as an independent parameter detected by biaxial transducers. Three cuboid ( 3.84×3.84×5.92 mm) biaxial piezoceramics with two pairs of orthogonal electrodes (one pair applied laterally and one pair applied in the polling direction) were manufactured and characterized. Each transducer was placed in a water tank where an independent hemispherical source was attached to a moveable arm and operated at 250 kHz. Terminal voltages were recorded for 81 source positions in a plane parallel to the transducer's front face and at a depth of approximately 9 cm. Collection was repeated three times per transducer to ensure reproducibility. In silico results were compared with the experimental results. Two derived metrics were then calculated using both the forward and lateral terminal voltages: the phase difference and amplitude ratio. Biaxial transducers demonstrate an ability to estimate the DOA of incident sound waves, independently of any time-of-flight (TOF) information. The phase difference and amplitude ratio complement each other to provide statistically significant and repeatable estimates over a range of 48° (from -24° to +24°). These results can be used to augment a variety of medical, geophysical, and industrial passive ultrasound imaging techniques.