Modeling of ultrasonic wave propagation in teeth using PSpice: a comparison with finite element models

Ultrasound is used extensively in the medical field for the detection and characterization of a variety of features in the human body. Finite element models used to understand ultrasonic wave propagation in teeth have been developed so that ultrasound techniques could be realized in dentistry. This paper presents a hypothesis that underlies one possible design of an ultrasonic tool that can be used in a clinical environment, as well as several models that describe acoustic field simulation, propagation, and interaction with the layers of several tooth structures. A complete PSpice model of a single-element transducer based on Redwood's version of Mason's equivalent circuit, a focusing lens, and a multi-layer tooth structure is used to illustrate the validity of this hypothesis. Transmission line theory is employed as a basis for the models of the piezoceramic, the lens, and the different tooth layers. Results clearly depict the transmission and reflection of the ultrasonic waves as they travel through the layers within the tooth structure and point out the noticeable similarity to longitudinal L-wave signatures produced by axisymmetric finite element models presented in earlier studies.     

Design of focused ultrasound surgery transducers

High-intensity focused ultrasound surgery (FUS) has been developed for the extracorporeal treatment of various benign and malignant soft tissue tumors. The system developed at the Institute of Cancer Research/Royal Marsden (ICR/RM) National Health Service (NHS) Trust incorporates a 150 mm focal length focused bowl transducer operated at 1.7 MHz, and is currently undergoing Phase 1 clinical trials for the treatment of benign prostatic hyperplasia and superficial bladder cancer. However, the application of this transducer is limited by its focal length to a maximum depth of 100 mm, and by power absorption in the skin to a minimum depth of 40 mm. A computer model of acoustic fields, which assumes uniform excitation of the transducer over its entire surface, has previously been published. This has been used both to calculate the intensity in nonattenuating media, and to estimate the absorbed power per unit volume in homogeneous tissues in order to allow determination of the transducer configurations (frequency, focal length, and diameter) necessary for the treatment of both deep (~150 mm) and shallow (~20 mm) soft tissue tumors. These depths encompass the typical range for human tissues which are likely to be treated. Calculations cover the frequency range 0.5-4.5 MHz, focal lengths from 70 to 200 mm, and transducer diameters from 30 to 190 mm. The results show that appropriate transducers can be designed for the noninvasive treatment of tumors in specific organs     

Modeling and optimization of high-frequency ultrasound transducers

Obtaining an accurate transducer model for a high-frequency transducer can be troublesome using traditional models, such as the KLM model, since it is often difficult to measure precisely the piezoelectric, dielectric, and mechanical properties of the transducer. This paper describes an alternative method of modeling transducers using network theory. The network theory model for a transducer is determined from a measurement of the transducer impedance in water and the pulse-echo response of the system for a given electrical source and load. A discussion of how this model can be used to optimize the design of an electrical matching circuit is given. This method is illustrated by designing a two-element transmission line matching circuit for a miniature 53 MHz transducer. Excellent agreement between the network model prediction and the experimental response is obtained     

Enterprise modelling: from early languages to models transformation

During the last 30 years, enterprise modelling has been recognised as an efficient tool to externalise the knowledge of companies in order to understand their operations, to analyse their running and to design new systems from several points of view: functions, processes, decisions, resources and information technology. This paper aims at describing the long evolution of enterprise modelling techniques as well as one of the future challenges of these techniques: the transformation of enterprise models. So, in a first part, the paper describes the evolution of enterprise modelling techniques from the divergence era to the convergence period. In a second time, the paper focuses on the recent advances in the use of enterprise models through model-driven approaches, interoperability problem-solving and simulation, all these advances having the same characteristic to use the transformation of enterprise models.     

Electromagnetic transducers close to high-temperature plasma in thethermonuclear fusion experiment RFX

RFX is a magnetically confined fusion experiment in operation since 1992 in Padova, Italy. Analysis of the magnetic field is essential for the safe operation of the machine and the understanding of high-temperature plasma dynamics. Both of these issues require an accurate electromagnetic diagnostic system. In this paper, after a discussion of the problems related to magnetic measurements in fusion experiments, with particular reference to the RFX environment, the probes installed inside the vacuum vessel are described     

A fast algorithm to calculate ultrasound pressure fields from single-element transducers

An algorithm for calculating the beam profile for a single-element circular transducer is reported here. It performs well in calculating the pressure everywhere in the field including the near field and points at large distances from the axis of the transducer. The algorithm is much faster than direct numerical methods currently in use. Lateral beam profiles computed using the fast algorithm are nearly identical to profiles computed using a 96-point Gaussian quadrature routine.     

Modeling of received signals from annular array ultrasound transducers due to extended reflectors

This paper describes a computationally efficient numerical technique for calculating the received signal from a broadband annular array transducer operating in pulse-echo mode, due to a specified reflector. The technique is referred to as the Diffraction Response from Extended Area Method (DREAM) and operates by tessellating the reflector into planar tiles with a dimension of several wavelengths (at the highest frequency of interest) and finding the contribution from a given tile by a temporal low-pass filtering rather than spatial integration. In particular, this paper formulates the theory for the DREAM for tessellation into triangular tiles and demonstrates the improved performance with triangular tiles relative to square tiles. This paper also analyzes the mean square error of the received signal as a function of the diameters of the transmitting and the receiving transducers and the radial position and orientation of the tile. Based on this, a set of rules for the optimal tile size is developed. The power of the modeling technique is demonstrated by calculating the received signal from an annular array transducer due to three given extended reflectors in which the effect of the focal point location on the received signal is readily demonstrated.     

ANSYS软件在模拟分析声学换能器中的应用

ANSYS是通常用于分析和设计声学换能器的有限元软件之一,通过实例给出分析声学换能器的处理过程,包括建模、施加载荷、设置求解选项、使用后处理器、以及获得换能器振动辐射参数的一般过程,并涉及宽带换能器、矢量换能器的发射与接收问题,对ANSYS有限元软件模拟换能器的一些经常遇到的问题细节的处理方法做了较全面的概括。还简要讨论了流体中结构模态分析的一般处理方法,对结果数据进行数学运算操作并获得换能器的特性参数等等。     

3-D ultrasound guidance of surgical robotics using catheter transducers: feasibility study

The goal of this study was to test the feasibility of using a real-time 3-D (RT3D) ultrasound scanner with matrix array catheter probes to guide a surgical robot. We tested the accuracy of using 3-D catheter transducers with the 3-D measurement software of the scanner to direct automatically a robot arm that touched two needle tips together within a water tank and inside a vascular graft. RMS measurement error ranged from 2.4 to 3.4 mm for two catheter designs.     

A concentric-ring equivalent phased array method to model fields of large axisymmetric ultrasound transducers

An equivalent concentric-ring ultrasound phased array method was developed to estimate ultrasonic continuous wave fields generated by axisymmetric single-source transducers. The method models a given source as a concentric-ring phased array by mathematically segmenting it into many rings and subsequently finding the amplitude and phase for each ring that produces an acoustic field similar to the field of the single-source transducer. The excitation source of each ring was calculated using an inverse technique based on complex pressure measurements along a radial line close to the source. The predicting abilities of the method are evaluated by comparing measured and estimated ultrasound fields for six different transducers. The results show that the concentric-ring equivalent phased array method (CREPAM) is able to estimate quantitatively the ultrasound fields generated by large axisymmetric planar and focused transducers.     

Heat transfer aspects of splat-quench solidification: modelling and experiment

In this paper a combined theoretical and experimental study is reported on the process of solidification of a liquid metal droplet by impaction on a cold substrate (splat-quenching). The study is focused on the heat transfer aspects of this process and on the identification of parameters affecting the heat transfer mechanism. To this end, the effect of the droplet impact velocity and temperature, the effect of the substrate material and its initial temperature, and the effect of the thermal contact resistance between the splat and the substrate are investigated. A two-dimensional conduction model accounting for the freezing process in the splat and for the solidification kinetics has predicted reasonably well the trends observed in the experimental part of the study.     

A theoretical assessment of a thermal technique to measure acoustic power radiated by ultrasound transducers

The parameters affecting the temperature rise in an insonified absorber are studied computationally. Finite-element and analytical solutions are obtained for the transient energy equation in a cylindrical absorber. When the ultrasound beam radius is less than the radius of the absorber, the temperature field is seen to be considerably more complex than when the absorber cross section is uniformly heated. Circumstances in which power predictions based upon uniform heating would result in appreciable error are identified. The rise time required to achieve equilibrium is studied as a function of operational parameters, including absorber geometry and thermal properties as well as ultrasound beamwidth and frequency. The rise time is seen to increase approximately as the square of the absorber length, while optimized temperature rise increases linearly with absorber length, demonstrating a tradeoff in ultrasound power determination via equilibrium temperature measurements: longer lengths produce higher sensitivity, but also longer times before measurements can be made. A transient technique that may bypass this tradeoff is suggested     

Estimation of the surface normal velocity of high frequency ultrasound transducers

This paper is concerned with the characterization of the true locally resolved surface normal velocity of an assumed piston-type ultrasonic transducer. Instead of involving a very complicated direct pointwise measurement of the velocity distribution, an inverse problem is solved which yields a spatially discretized weighting vector for the surface normal velocity of the transducer. The study deals with a spherically focused high frequency transducer, which is driven in pulse-echo mode. As a means of posing the inverse problem, the active transducer surface is divided into annuli of equal surface so that for each annulus the spatial impulse response can be calculated. An acrylic glass plate acts as a simple structured target. The resulting ill-posed nonlinear inverse problem is solved with an iterative regularized Gauss-Newton algorithm. The solution of the inverse problem yields an estimated weight for the surface normal velocity for each annulus. Experimental results for a thin copper wire target are compared to simulation results for both uniform and estimated surface normal velocities.     

Theory and operation of 2-D array piezoelectric micromachined ultrasound transducers

Piezoelectric micromachined ultrasound transducers (pMUTs) are a new approach for the construction of 2-D arrays for forward-looking 3-D intravascular (IVUS) and intracardiac (ICE) imaging. Two-dimensional pMUT test arrays containing 25 elements (5 x 5 arrays) were bulk micromachined in silicon substrates. The devices consisted of lead zirconate titanate (PZT) thin film membranes formed by deep reactive ion etching of the silicon substrate. Element widths ranged from 50 to 200 ?m with pitch from 100 to 300 ?m. Acoustic transmit properties were measured in de-ionized water with a calibrated hydrophone placed at a range of 20 mm. Measured transmit frequencies for the pMUT elements ranged from 4 to 13 MHz, and mode of vibration differed for the various element sizes. Element capacitance varied from 30 to over 400 pF depending on element size and PZT thickness. Smaller element sizes generally produced higher acoustic transmit output as well as higher frequency than larger elements. Thicker PZT layers also produced higher transmit output per unit electric field applied. Due to flexure mode operation above the PZT coercive voltage, transmit output increased nonlinearly with increased drive voltage. The pMUT arrays were attached directly to the Duke University T5 Phased Array Scanner to produce real-time pulse-echo B-mode images with the 2-D pMUT arrays.     

Deep drawing behaviour of ultrafine grained copper: modelling and experiment

Ultrafine grained materials produced by severe plastic deformation methods possess attractive mechanical properties such as high strength compared with traditional coarse grained counterparts and reasonable ductility. Between existing severe plastic deformation methods the Equal Channel Angular Pressing is the most promising for future industrial applications and can produce a variety of ultrafine grained microstructures in materials depending on route, temperature and number of passes during processing. Driven by a rising trend of miniaturisation of parts these materials are promising candidates for microforming processes. Considering that bi-axial deformation of sheet (foil) is the major operation in microforming, the investigation of the influence of the number of ECAP passes on the bi-axial ductility in micro deep drawing test has been examined by experiments and FE simulation in this study. The experiments have showed that high force was required for drawing of the samples processed by ECAP compare to coarse grained materials. The limit drawing ratio of ultrafine grained samples was in the range of 1.9–2.0 with ECAP pass number changing from 1 to 16, while a higher value of 2.2 was obtained for coarse grained copper. However, the notable decrease in tensile ductility with increase in strength was not as pronounced for bi-axial ductility. The FE simulation using standard isotropic hardening model and von Mises yielding criterion confirmed these findings.     

Multi-layered PZT/polymer composites to increase signal-to-noise ratio and resolution for medical ultrasound transducers

Increasing transducer bandwidth and signal-to-noise ratio (SNR) is fundamental to improving the quality of medical ultrasound images. In previous work, the authors have proposed the use of multi-layer 1-3 PZT/epoxy composites to increase both but have encountered significant fabrication challenges. These difficulties include making the bond thickness between the layers extremely small relative to the ultrasound wavelength and aligning the posts of the composite to increase the coupling coefficient. The authors have routinely achieved a bond thickness of less than 5 mum but aligning the posts is more complicated. Finite element (PZFlex; Weidlinger, Assoc., New York, NY and Los Altos, CA) simulations show that the pulse-echo SNR and bandwidth degrade significantly with misalignment of the posts. Alignment of greater than 90% of the post pitch (i.e., tolerance of 10 to 20 mum) is required to obtain significant increases in SNR and bandwidth relative to conventional transducer arrays. This will be a difficult tolerance for large-scale production. Thus, the authors have developed a multi-layer composite hybrid array that will not require post alignment. This structure consists of a layer of 5 MHz 1-3 composite material on top of conventional 5 MHz PZT, which will provide greater SNR relative to conventional composites and increased bandwidth over multi-layer PZT. PZFlex simulations show that for a 2 MHz linear array element, the 2 layer hybrid structure increases the pulse-echo SNR by 7.5 dB over that from a single layer PZT element. Even without a matching layer, an increase in the -6 dB pulse-echo fractional bandwidth from 22% for the PZT element to 35% for the hybrid element was also predicted. Experimentally, in a 32 element array, the authors achieved an increase of 5.2 dB in SNR and an increased -6 dB bandwidth from 23 to 30%. In vitro and in vivo images showed corresponding improvements.     

Multiple-view modelling and meta-modelling of software product lines

A multiple-view modelling and meta-modelling approach for software product lines (SPLs) using the unified modelling language notation is described. A multiple-view model for an SPL defines the different perspectives of the product line, namely the use case model, static model, collaboration model, statechart model and feature model, including the commonality and variability. The meta-model for SPLs depicts the life-cycle phases, views within each phase and meta-classes within each view. The relationships between the different meta-model views are described. Consistency checking rules are specified based on the relationships among meta-classes in the meta-model. These rules, which are specified formally using the object constraint language, are used to resolve inconsistencies between multiple views in the same phase or different phases, and to define allowable mappings between multiple views in different phases. Finally, tool support for the approach is described.