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Inverse Problems With Multiple Plane Waves: The Angular Simplification 多平面波反问题:角度化简
Pub Date : 2025-03-14 DOI: 10.1109/OJUFFC.2025.3551318
Baptiste Heriard-Dubreuil;Adrien Besson;Claude Cohen-Bacrie;Jean-Philippe Thiran
In unfocused ultrasound imaging, a delay-and-sum algorithm is commonly used to reconstruct one image per emission. When multiple emissions are performed, individual images can be combined by coherent compounding to improve image quality. Alternative methods based on tomographic inverse problems have been recently introduced and prove a superior image quality. However, the high dimensionality of the operators involved in such tomographic problems –especially in the case of multiple emissions– leads to prohibitive computation times and memory requirements, preventing their use in practice. We propose to use an angular framework in which plane waves are considered both in emission and reception. In this new framework, we show that the delay-an-sum and the compounding operators are commutative. Using this property, we formulate a low-dimensional tomographic inverse problem and describe a matrix-free method able to reconstruct high-quality images with a computation time independent of the number of emissions.
在非聚焦超声成像中,延迟和算法通常用于每次发射重建一个图像。当进行多次发射时,单个图像可以通过相干复合来组合,以提高图像质量。最近提出了基于层析反问题的替代方法,并证明了较好的图像质量。然而,涉及此类层析成像问题的操作符的高维性——特别是在多次发射的情况下——导致了令人望而却步的计算时间和内存需求,从而阻碍了它们在实践中的使用。我们建议使用一个角度框架,其中平面波在发射和接收中都被考虑。在这个新框架中,我们证明了延迟和算子和复合算子是可交换的。利用这一性质,我们提出了一个低维层析反问题,并描述了一种能够重建高质量图像的无矩阵方法,其计算时间与发射次数无关。
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引用次数: 0
3D Frequency-Domain Full Waveform Inversion for Whole-Breast Imaging With a Multi-Row Ring Array 多行环形阵列全乳房成像的三维频域全波形反演
Pub Date : 2025-03-14 DOI: 10.1109/OJUFFC.2025.3570253
Rehman Ali;Gaofei Jin;Melanie Singh;Trevor Mitcham;Nebojsa Duric
For ring-array ultrasound tomography, two-dimensional frequency-domain full waveform inversion is the clinical gold standard for high-resolution imaging of the breast. While yielding high-resolution images in the plane of the ring-array, the resulting slice-wise approach yields lower resolution out of plane when used to reconstruct the full volume. Instead, this work proposes a fully three-dimensional full-waveform inversion based on a multi-row ring-array transducer to improve out-of-plane resolution, while using cylindrical-wave transmissions to minimize acquisition and reconstruction time. For each numerical breast phantom tested, the root-mean-square error of three-dimensional full-waveform inversion is less than that of two-dimensional slice-wise full-waveform inversion by 6.3-13.7 m/s.
对于环形超声断层扫描,二维频域全波形反演是乳房高分辨率成像的临床金标准。虽然在环形阵列的平面上产生高分辨率图像,但当用于重建整个体积时,所得到的切片方法在平面外产生较低的分辨率。相反,这项工作提出了一种基于多排环形阵列换能器的全三维全波形反演,以提高面外分辨率,同时使用圆柱波传输来最大限度地减少采集和重建时间。对于每个测试的数值乳房模体,三维全波形反演的均方根误差比二维切片全波形反演的均方根误差小6.3-13.7 m/s。
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引用次数: 0
Taylor-Series-Based Derivation of the Resolution of Null Subtraction Imaging for a Uniform Linear Array 基于泰勒级数的均匀线性阵列零相减成像分辨率推导
Pub Date : 2025-03-10 DOI: 10.1109/OJUFFC.2025.3550096
Chaoran Han;Sven Peter Näsholm;Andreas Austeng;Håvard Kjellmo Arnestad
Null subtraction imaging (NSI) is a non-linear beamformer that aims to improve the spatial resolution of ultrasound images. NSI incoherently combines three delay-and-sum (DAS) outputs from the same RF data using three related apodizations on receive. NSI has been advocated to have many advantages in different domains such as B-mode imaging, plane wave imaging, power Doppler imaging, and for large-pitch arrays. However, despite its increasing popularity, an explicit relationship between NSI resolution (interpreted as the mainlobe width) and various parameters (such as the DC offset value c, array aperture, and wavelength) is not known, making system design and intuitive reasoning about the method difficult. Therefore, in the current work, we derive the theoretical NSI array pattern and give an approximate expression for the −6dB mainlobe width. Our derivation is based on a Taylor series-expansion of the analytical NSI array pattern, which is valid over the mainlobe region for the range of c values typically seen in the literature. The results show that the NSI mainlobe width is proportional to $c lambda /D$ , which is the DC offset value multiplied by the wavelength and divided by the aperture size, and therefore has a similar wavelengh and aperture dependency as the classical DAS mainlobe. The work is validated numerically, also showing that the NSI mainlobe width approaches the DAS mainlobe width as c approaches infinity.
空减成像(NSI)是一种非线性波束成形器,旨在提高超声波图像的空间分辨率。NSI 在接收时使用三个相关的调焦,将来自同一射频数据的三个延迟和(DAS)输出不连贯地组合在一起。NSI 被认为在不同领域(如 B 型成像、平面波成像、功率多普勒成像和大间距阵列)具有许多优势。然而,尽管 NSI 越来越受欢迎,但它的分辨率(解释为主波束宽度)与各种参数(如直流偏移值 c、阵列孔径和波长)之间的明确关系并不为人所知,这使得系统设计和有关该方法的直观推理变得困难。因此,在目前的工作中,我们推导出了理论上的 NSI 阵列模式,并给出了 -6dB 主波束宽度的近似表达式。我们的推导基于对解析 NSI 阵列模式的泰勒级数展开,它在文献中常见的 c 值范围内的主波束区域有效。结果表明,NSI 主波束宽度与 $c lambda /D$ 成正比,即直流偏移值乘以波长再除以孔径大小,因此与经典 DAS 主波束具有类似的波长和孔径依赖性。这项工作得到了数值验证,还表明当 c 接近无穷大时,NSI 主波束宽度接近 DAS 主波束宽度。
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引用次数: 0
Enhancing Liver Steatosis Classification: H-Scan Analysis of Handheld Ultrasound Data 增强肝脂肪变性分级:手持超声数据的h扫描分析
Pub Date : 2025-03-05 DOI: 10.1109/OJUFFC.2025.3566928
Tina Gabriel;Omid Chaghaneh;Julian Kober;Tönnis Trittler;Edgar M. G. Dorausch;Cornelius Kühnöl;Jakob Schäfer;Richard Nauber;Paul-Henry Koop;Carolin Schneider;Jochen Hampe;Gerhard Fettweis;Moritz Herzog
Handheld ultrasound (H-US) offers a widely accessible and cost-effective option for future medicine. Quantitative US methods, such as H-Scan, could broaden its impact by leveraging the enormous potential of radiofrequency (RF) ultrasound data. H-US derived steatosis and fibrosis assessments would reduce the need for expensive FibroScan® devices, especially supporting low-resource areas. By filtering for lower (GH2) and higher (GH8) frequencies, the method allows for differentiation of scatter sizes related to varying degrees of steatosis, which is crucial for early detection of metabolic-associated steatotic liver disease (MASLD). Considering a substantial and various patient cohort of 468 patients, reducing potential selection bias inherent in smaller study cohorts, this study aims to investigate whether H-Scan analysis of RF-data captured with inexpensive H-US yields comparable results to those seen in previous studies. A strong correlation (r=0.852, p<0.0001)> $alpha $ . No significant correlation was observed between H-Scan and the degree of liver fibrosis, suggesting that the current H-Scan alone might not be suitable for this application. Further research is needed to test and refine the methodology, especially regarding individual attenuation correction.
手持式超声(H-US)为未来医学提供了一种广泛可及且具有成本效益的选择。定量的美国方法,如H-Scan,可以通过利用射频(RF)超声数据的巨大潜力来扩大其影响。H-US衍生的脂肪变性和纤维化评估将减少对昂贵的FibroScan®设备的需求,特别是支持低资源地区。通过过滤较低(GH2)和较高(GH8)频率,该方法可以区分与不同程度脂肪变性相关的散点大小,这对于代谢相关脂肪变性肝病(MASLD)的早期检测至关重要。考虑到468名患者的大量和不同的患者队列,减少了小型研究队列中固有的潜在选择偏倚,本研究旨在调查用廉价H-US捕获的射频数据的H-Scan分析是否产生与先前研究中看到的结果相当的结果。强相关性(r=0.852, p $alpha $。H-Scan与肝纤维化程度无明显相关性,提示目前单独的H-Scan可能不适合此应用。需要进一步的研究来测试和完善这种方法,特别是在个别衰减校正方面。
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引用次数: 0
Square-Wave Driven Ultrasonic Liquid Crystal Optical Lenses 方波驱动超声液晶光学透镜
Pub Date : 2025-03-01 DOI: 10.1109/OJUFFC.2025.3566354
Ryoya Mizuno;Yuma Kuroda;Akira Emoto;Mami Matsukawa;Daisuke Koyama
Conventional optical lenses only have one focal point. Whereas compound lens systems with multiple lenses and mechanical actuators are used in modules to focus on near and far objects. Camera modules with these systems tend to be bulky and have a slow time response. Electrically-controllable varifocal lenses will accelerate the development of compact photographic devices with high-speed responses. Here, we discuss an ultrasound varifocal liquid crystal (LC) lens that consists of an LC layer between two glass discs and an ultrasound transducer. The orientation of nematic LC molecules could be controlled by acoustic radiation forces, and the lens could change the refractive index distribution and its focal length by ultrasound vibration by utilizing the high LC liquidity and optical anisotropy. The effects of input waveforms on the optical characteristics of the ultrasonic LC lens were investigated in an industrial setting. We applied sinusoidal and square waves at the resonant frequency of the lenses to assess the impact on the optical characteristics. Those characteristics were largely similar. However, slight differences were observed in the vibrational distributions on the lens substrate, indicating that the lens could be controlled by a square-wave drive.
传统的光学镜头只有一个焦点。而在模块中使用具有多个透镜和机械致动器的复合透镜系统来聚焦近处和远处的物体。这些系统的相机模块往往体积庞大,时间响应缓慢。电控变焦镜头将加速具有高速响应的小型摄影设备的发展。在这里,我们讨论了一种超声变焦液晶(LC)透镜,它由两个玻璃圆盘之间的LC层和超声换能器组成。向列型LC分子的取向可以由声辐射力控制,透镜可以利用LC的高流动性和光学各向异性,通过超声振动改变折射率分布和焦距。在工业环境下,研究了输入波形对超声LC透镜光学特性的影响。我们在透镜的共振频率处施加正弦波和方波来评估对光学特性的影响。这些特征大体上是相似的。然而,在透镜衬底上观察到轻微的振动分布差异,表明透镜可以由方波驱动控制。
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引用次数: 0
Enhanced Row–Column-Addressed Array Imaging With Retrospective Filtering 增强行-列寻址阵列成像回顾性滤波
Pub Date : 2025-02-25 DOI: 10.1109/OJUFFC.2025.3545600
Chung-Shiang Mei;Wei-Hsiang Shen;Meng-Lin Li
To address the inherent complexity associated with fabricating fully-sampled (FS) 2-D arrays, row-column-addressed (RCA) arrays offer a promising alternative by significantly reducing the number of active elements. However, RCA arrays are limited by reduced image quality, as they only allow one-way focusing along both the x- and y-axes. This study introduces a post-filtering scheme that leverages a retrospective filtering method combined with filter-derived coherence-index (FCI) weighting to enhance RCA focusing quality, aiming to emulate the performance of FS arrays. Preliminary simulations were conducted to assess the efficacy of this approach, including point spread function (PSF) analysis and anechoic vessel phantom imaging. In the PSF analysis, our method achieved a 14.63-dB reduction in the sidelobe level, with improvements of 11.3% and 14.29% observed in the -6 dB and -20 dB full-width at half-maximum (FWHM), respectively. For anechoic vessel phantom imaging, the proposed scheme demonstrated substantial gains, with a 15.77 dB enhancement in contrast ratio (CR), a 1.615 increase in contrast-to-noise ratio (CNR), and a 27.03% improvement in generalized contrast-to-noise ratio (gCNR).
为了解决与制造全采样(FS)二维阵列相关的固有复杂性,行-列寻址(RCA)阵列通过显着减少有源元件的数量提供了一个有前途的替代方案。然而,RCA阵列受到图像质量降低的限制,因为它们只允许沿x轴和y轴单向聚焦。本研究引入了一种后滤波方案,该方案利用回溯滤波方法结合滤波器衍生相干指数(FCI)加权来提高RCA聚焦质量,旨在模拟FS阵列的性能。进行了初步模拟以评估该方法的有效性,包括点扩散函数(PSF)分析和消声血管影成像。在PSF分析中,我们的方法使旁瓣电平降低了14.63 dB,在半最大值(FWHM)的-6 dB和-20 dB全宽分别提高了11.3%和14.29%。对于无回声血管影成像,该方案显示出显著的增益,对比度(CR)提高15.77 dB,对比噪声比(CNR)提高1.615,广义对比噪声比(gCNR)提高27.03%。
{"title":"Enhanced Row–Column-Addressed Array Imaging With Retrospective Filtering","authors":"Chung-Shiang Mei;Wei-Hsiang Shen;Meng-Lin Li","doi":"10.1109/OJUFFC.2025.3545600","DOIUrl":"https://doi.org/10.1109/OJUFFC.2025.3545600","url":null,"abstract":"To address the inherent complexity associated with fabricating fully-sampled (FS) 2-D arrays, row-column-addressed (RCA) arrays offer a promising alternative by significantly reducing the number of active elements. However, RCA arrays are limited by reduced image quality, as they only allow one-way focusing along both the x- and y-axes. This study introduces a post-filtering scheme that leverages a retrospective filtering method combined with filter-derived coherence-index (FCI) weighting to enhance RCA focusing quality, aiming to emulate the performance of FS arrays. Preliminary simulations were conducted to assess the efficacy of this approach, including point spread function (PSF) analysis and anechoic vessel phantom imaging. In the PSF analysis, our method achieved a 14.63-dB reduction in the sidelobe level, with improvements of 11.3% and 14.29% observed in the -6 dB and -20 dB full-width at half-maximum (FWHM), respectively. For anechoic vessel phantom imaging, the proposed scheme demonstrated substantial gains, with a 15.77 dB enhancement in contrast ratio (CR), a 1.615 increase in contrast-to-noise ratio (CNR), and a 27.03% improvement in generalized contrast-to-noise ratio (gCNR).","PeriodicalId":73301,"journal":{"name":"IEEE open journal of ultrasonics, ferroelectrics, and frequency control","volume":"5 ","pages":"15-18"},"PeriodicalIF":0.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10902463","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple-Node Time Transfer Over Star Fiber Network Without Requiring Link Calibration 星形光纤网络上的多节点时间传输,无需链路校准
Pub Date : 2025-02-11 DOI: 10.1109/OJUFFC.2025.3541156
Kunfeng Xie;Liang Hu;Jianping Chen;Guiling Wu
In this letter, we proposed a point-to-multipoint fiber-optic time transfer scheme over a star-shaped fiber network based on bidirectional frequency division multiplexing without requiring link calibration. The time signals at the local station and remote stations are encoded into time-varying signals within in different spectral passbands, respectively. The optical carriers with the same wavelength are employed to transfer the two time-varying signals in both directions over a single fiber. The backscattering noises from fiber links can be effectively suppressed by simply electrical filtering due to the non-overlapping on spectrum between the forward and backward time-varying signals. The local station broadcasts the time signal of the reference clock to all remote stations based on space division multiplexing to support point-to-multipoint fiber-optic time transfer. The proposed scheme is demonstrated over a star-shaped fiber network with two remote stations. The results show that the measured mean clock difference can be less than -1.03 ps and 4.99 ps without link calibration, respectively. The measured time stability in terms of time deviation is better than 19.93 ps@1s, 0.50 ps@1000s and 25.35 ps@1s, 0.65 ps@1000s.
在这封信中,我们提出了一种基于双向频分复用的星形光纤网络点对多点光纤时间传输方案,无需链路校准。将本站和远站的时间信号分别编码为不同频谱波段内的时变信号。采用具有相同波长的光载波在一根光纤上向两个方向传输两个时变信号。由于前向时变信号和后向时变信号在频谱上不重叠,通过简单的电滤波可以有效地抑制光纤链路的后向散射噪声。本站将参考时钟的时间信号基于空分复用向所有远站广播,以支持点对多点光纤时间传输。在具有两个远程站的星形光纤网络上对该方案进行了验证。结果表明,在不进行链路校准的情况下,测得的平均时钟差分别小于-1.03 ps和4.99 ps。以时间偏差计的测量时间稳定性优于19.93 ps@1s、0.50 ps@1000s和25.35 ps@1s、0.65 ps@1000s。
{"title":"Multiple-Node Time Transfer Over Star Fiber Network Without Requiring Link Calibration","authors":"Kunfeng Xie;Liang Hu;Jianping Chen;Guiling Wu","doi":"10.1109/OJUFFC.2025.3541156","DOIUrl":"https://doi.org/10.1109/OJUFFC.2025.3541156","url":null,"abstract":"In this letter, we proposed a point-to-multipoint fiber-optic time transfer scheme over a star-shaped fiber network based on bidirectional frequency division multiplexing without requiring link calibration. The time signals at the local station and remote stations are encoded into time-varying signals within in different spectral passbands, respectively. The optical carriers with the same wavelength are employed to transfer the two time-varying signals in both directions over a single fiber. The backscattering noises from fiber links can be effectively suppressed by simply electrical filtering due to the non-overlapping on spectrum between the forward and backward time-varying signals. The local station broadcasts the time signal of the reference clock to all remote stations based on space division multiplexing to support point-to-multipoint fiber-optic time transfer. The proposed scheme is demonstrated over a star-shaped fiber network with two remote stations. The results show that the measured mean clock difference can be less than -1.03 ps and 4.99 ps without link calibration, respectively. The measured time stability in terms of time deviation is better than 19.93 ps@1s, 0.50 ps@1000s and 25.35 ps@1s, 0.65 ps@1000s.","PeriodicalId":73301,"journal":{"name":"IEEE open journal of ultrasonics, ferroelectrics, and frequency control","volume":"5 ","pages":"11-14"},"PeriodicalIF":0.0,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10879779","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
3D High-Frame-Rate Imaging of Natural Shear Waves in the Parasternal View of the Heart 心脏胸骨旁位自然横波的三维高帧率成像
Pub Date : 2025-02-04 DOI: 10.1109/OJUFFC.2025.3538819
Annette Caenen;Konstantina Papangelopoulou;Laurine Wouters;Ekaterina Seliverstova;Jens-Uwe Voigt;Jan D’Hooge
Most clinical studies use a 2D parasternal long-axis view to measure natural shear waves after valve closure for myocardial stiffness assessment. However, its 3D wave propagation direction and its alignment with the 2D imaging plane are not well understood. Previous 3D research has mainly focused on wave propagation from an apical view, primarily tracking the longitudinal component of wave motion instead of the transverse component observed in the parasternal view. Therefore, this work aims to bridge this gap by using 3D high-frame-rate imaging in the parasternal view in 6 healthy volunteers (~750 volumes/s), and compared its results to 2D measurements (~1000 frames/s). We found a more complex wave propagation pattern after mitral valve closure encompassing two wave excitation sources, whereas the wave propagation after aortic valve closure clearly originated near the left ventricular outflow tract. The extent of the wave excitation region varied across volunteers. For the septal wall – tracked in 2D shear wave imaging, the overall wave propagation was from base to apex, which is theoretically in line with the 2D imaging plane orientation. However, wave speed estimations were lower for 3D measurements than for 2D (-0.7 m/s for mitral valve and -0.5 m/s for AVC, on average), potentially due to misalignment of the 2D imaging plane with the longitudinal direction of the heart.
大多数临床研究使用二维胸骨旁长轴视图测量瓣膜关闭后的自然剪切波来评估心肌刚度。然而,其三维波的传播方向及其与二维成像平面的排列尚不清楚。以往的三维研究主要集中在顶点视图的波传播,主要跟踪波的纵向分量,而不是在胸骨旁视图观察到的横向分量。因此,这项工作旨在通过在6名健康志愿者的胸骨前视图中使用3D高帧率成像(~750卷/秒)来弥补这一差距,并将其结果与2D测量结果(~1000帧/秒)进行比较。我们发现二尖瓣关闭后的波传播模式更复杂,包括两个波激发源,而主动脉瓣关闭后的波传播明显起源于左心室流出道附近。不同志愿者的波激发区的程度不同。对于二维横波成像中跟踪的间隔壁,整个波的传播是从基底到顶点,这在理论上与二维成像平面方向一致。然而,3D测量的波速估计低于2D测量(二尖瓣平均为-0.7 m/s, AVC平均为-0.5 m/s),这可能是由于2D成像平面与心脏纵向方向不对齐所致。
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引用次数: 0
k²₃₃Estimation of Thin Films via Piezoelectric Stiffening Using Ultrasonic Reflectometry 超声反射法压电强化薄膜的k²₃估计
Pub Date : 2025-02-03 DOI: 10.1109/OJUFFC.2025.3537962
Yohkoh Shimano;Motoshi Suzuki;Takahiko Yanagitani
A method for estimating intrinsic electromechanical coupling coefficient ${k}_{{33}}^{{2}}$ of piezoelectric thin films using piezoelectrically stiffened acoustic velocity ${V}^{text {D}}$ and unstiffened acoustic velocity ${V}^{text {E}}$ was proposed. ${V}^{text {D}}$ and ${V}^{text {E}}$ velocities of thin films in the sub-GHz range were estimated by ultrasonic reflectometry. Directly depositing a film specimen on the backside of the ultrasonic delay line eliminates the need for a coupler layer and avoids acoustic attenuation in the layer. The ${V}^{text {D}}$ velocity can be estimated from the phase differences of the echoes: before and after the film specimen is deposited. In contrast, ${V}^{text {E}}$ velocity can be estimated from the phase difference when the film specimen is under the open circuit and the short circuit. The intrinsic ${k}_{{33}}^{{2}}{}$ can be obtained from the relationship of ${k}_{{33}}^{{2}}~text {=}$ 1 – ( ${V}^{text {E}}$ / ${V}^{text {D}})^{{2}}$ . For the Sc0.4Al0.6N thin film specimen, ${k}_{{33}}^{{2}}$ was determined to be 11.6% from ${V}^{text {D}}$ and ${V}^{text {E}}$ of 8400 m/s and 7900 m/s, respectively. For the ZnO thin film specimen, ${k}_{{33}}^{{2}}$ was estimated to be 4.7% from ${V}^{text {D}}$ and ${V}^{text {E}}$ of 6250 m/s and 6100 m/s, respectively. These values are in good agreement with previously reported results.
提出了一种利用压电加劲声速${V}^{text {D}}$和非加劲声速${V}^{text {E}}$估计压电薄膜固有机电耦合系数${k}_{{33}}}^{{2}}$的方法。用超声反射法估计了薄膜在sub-GHz范围内的速度${V}^{text {D}}$和${V}^{text {E}}$。在超声波延迟线的背面直接沉积薄膜试样,消除了对耦合器层的需要,并避免了层中的声衰减。${V}^{text {D}}$速度可以由沉积薄膜试样前后回波的相位差来估计。而${V}^{text {E}}$速度则可以通过薄膜试样在开路和短路状态下的相位差来估算。内在$ {k} _{{33}} ^{{2}}{}的关系可以获得美元{k} _{{33}} ^{{2}} ~ 文本{=}$ 1 - ($ {V} ^{文本{E}} $ / $ {V} ^{文本 D{}}) ^{{2}} $。对于Sc0.4Al0.6N薄膜试样,从8400 m/s和7900 m/s的${V}^{text {D}}$和${V}^{text {E}}$中确定${k}_{{33}}}^{{2}}$为11.6%。对于ZnO薄膜试样,${k}_{{33}}^{{2}}$估计为${V}^{text {D}}$和${V}^{text {E}}$分别为6250 m/s和6100 m/s的4.7%。这些值与先前报道的结果非常一致。
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引用次数: 0
2024 Index IEEE Open Journal of Ultrasonics, Ferroelectrics, and Frequency Control Vol. 4 《超声、铁电学与频率控制》第4卷
Pub Date : 2025-01-31 DOI: 10.1109/OJUFFC.2025.3537476
{"title":"2024 Index IEEE Open Journal of Ultrasonics, Ferroelectrics, and Frequency Control Vol. 4","authors":"","doi":"10.1109/OJUFFC.2025.3537476","DOIUrl":"https://doi.org/10.1109/OJUFFC.2025.3537476","url":null,"abstract":"","PeriodicalId":73301,"journal":{"name":"IEEE open journal of ultrasonics, ferroelectrics, and frequency control","volume":"4 ","pages":"247-254"},"PeriodicalIF":0.0,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10864476","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143106221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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IEEE open journal of ultrasonics, ferroelectrics, and frequency control
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