Acoustic field prediction for a single planar continuous-wave source using an equivalent phased array method

Fan, Xiaobing; Moros, Eduardo G.; Straube, William L.

doi:10.1121/1.420327

Cited by 16 publications

(6 citation statements)

References 23 publications

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“…From these publications, a small number were related to produce accurate models of acoustic field for the planar radiators used in this application [1, 23]. Furthermore, when the acoustic field was modeled, it usually referred to a piston source [24, 25] and few particular efforts were made to demonstrate the validity of this assumption.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, Gélat et al [24] presented the aperture method to determine the effective radiating area of physiotherapy transducers formulated by assuming the transducer as a plane-piston. Although the validity of the method is not questioned, simplifying the transducer as a piston source is not congruent with the measured fields of this kind of radiators [1, 2, 23]. Lu et al [25] developed a method for numerically approximating the acoustic field of hyperthermia devices in multilayer media.…”

Section: Introductionmentioning

confidence: 99%

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Experimental Verification of Modeled Thermal Distribution Produced by a Piston Source in Physiotherapy Ultrasound

Gutiérrez

Lopez-Haro

Vera

et al. 2016

BioMed Research International

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Objectives. To present a quantitative comparison of thermal patterns produced by the piston-in-a-baffle approach with those generated by a physiotherapy ultrasonic device and to show the dependency among thermal patterns and acoustic intensity distributions. Methods. The finite element (FE) method was used to model an ideal acoustic field and the produced thermal pattern to be compared with the experimental acoustic and temperature distributions produced by a real ultrasonic applicator. A thermal model using the measured acoustic profile as input is also presented for comparison. Temperature measurements were carried out with thermocouples inserted in muscle phantom. The insertion place of thermocouples was monitored with ultrasound imaging. Results. Modeled and measured thermal profiles were compared within the first 10 cm of depth. The ideal acoustic field did not adequately represent the measured field having different temperature profiles (errors 10% to 20%). Experimental field was concentrated near the transducer producing a region with higher temperatures, while the modeled ideal temperature was linearly distributed along the depth. The error was reduced to 7% when introducing the measured acoustic field as the input variable in the FE temperature modeling. Conclusions. Temperature distributions are strongly related to the acoustic field distributions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental Verification of Modeled Thermal Distribution Produced by a Piston Source in Physiotherapy Ultrasound

Gutiérrez

Lopez-Haro

Vera

et al. 2016

BioMed Research International

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“…For example, Cavanagh and Cook [37] decomposed the axial-symmetrical field produced by a circular piston to simple Gaussian beams; Berkhout and Wapenaar [40-42] developed a matrix formulation for ultrasound propagation and reflection in inhomogeneous media; Fan et al [39, 46] calculated the axial-symmetric ultrasound field through an equivalent phased array method; Lee and Benkeser [43] divided the piston into small rectangular parts and applied the Fourier transform relationship between the far field and the aperture.…”

Section: Introductionmentioning

confidence: 99%

Extension of the distributed point source method for ultrasonic field modeling

2011

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The distributed point source method (DPSM) was recently proposed for ultrasonic field modeling and other applications. This method uses distributed point sources, placed slightly behind transducer surface, to model the ultrasound field. The acoustic strength of each point source is obtained through matrix inversion that requires the number of target points on the transducer surface to be equal to the number of point sources. In this work, DPSM was extended and further developed to overcome the limitations of the original method and provide a solid mathematical explanation of the physical principle behind the method. With the extension, the acoustic strength of the point sources was calculated as the solution to the least squares minimization problem instead of using direct matrix inversion. As numerical examples, the ultrasound fields of circular and rectangular transducers were calculated using the extended and original DPSMs which were then systematically compared with the results calculated using the theoretical solution and the exact spatial impulse response method. The numerical results showed the extended method can model ultrasonic fields accurately without the scaling step required by the original method. The extended method has potential applications in ultrasonic field modeling, tissue characterization, nondestructive testing, and ultrasound system optimization.

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“…Additionally, a pressure field projected to a plane near the transducer surface could provide information for precise field modeling. [7][8][9] Phased arrays consisting of a large number of elements could use the projected information to adjust the amplitude and phase of individual driving signals and improve radiated signals.…”

Section: Introductionmentioning

confidence: 99%

Field characterization of therapeutic ultrasound phased arrays through forward and backward planar projection

Clement

Hynynen

2000

The Journal of the Acoustical Society of America

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Spatial planar projection techniques propagate field measurements from a single plane in front of a transmitter to arbitrary new planes closer to or further away from the source. A linear wave vector frequency-domain projection algorithm is applied to the acoustic fields measured from several focused transducer arrays designed for ultrasound therapy. A polyvinylidene difluoride hydrophone is first scanned in a water tank over a plane using a three-dimensional positioning system to measure the complex pressure field as a function of position. The field is then projected to a series of new planes using the algorithm. Results of the projected fields are compared with direct measurements taken at corresponding distances. Excellent correlation is found between the projected and measured data. The method is shown to be accurate for use with phase-controlled field patterns, providing a rapid and accurate method for obtaining field information over a large spatial volume. This method can significantly simplify the characterization procedure required for phased-array application used for therapy. Most significantly, the wavefront propagated back to a phased array can be used to predict the field produced by different phase and amplitude settings of the array elements. A field back-projected to the source could be used as an improved source function in acoustic modeling.

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Acoustic field prediction for a single planar continuous-wave source using an equivalent phased array method

Cited by 16 publications

References 23 publications

Experimental Verification of Modeled Thermal Distribution Produced by a Piston Source in Physiotherapy Ultrasound

Experimental Verification of Modeled Thermal Distribution Produced by a Piston Source in Physiotherapy Ultrasound

Extension of the distributed point source method for ultrasonic field modeling

Field characterization of therapeutic ultrasound phased arrays through forward and backward planar projection

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