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As-doped Si's complex permittivity and its effects on heating curve at 2.45 GHz frequency 掺as硅的复介电常数及其对2.45 GHz频率下加热曲线的影响
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138802
S. Varadan, G. Pan, Zhao Zhao, T. Alford
An analysis to determine the complex permittivity of arsenic-doped silicon wafer at 2.45 GHz is presented based on closed-form analytical expressions for cylindrical symmetry. Experimental results in support with the numerical analysis and simulation results are also presented. This analysis will further help analyze the capacitive heating of doped and undoped silicon wafer at microwave frequency; hence, this paper is a precursor to elucidation of capacitive heating of silicon substrates placed between susceptors. This study indicates that when the dopant is added to the silicon the loss tangent decreases with increase in concentration but upon annealing the loss tangent becomes constant with respect to concentration of the dopant.
基于圆柱对称的封闭解析表达式,给出了在2.45 GHz频率下砷掺杂硅片复介电常数的计算方法。实验结果与数值分析和仿真结果相吻合。该分析将进一步有助于分析掺杂和未掺杂硅片在微波频率下的电容加热;因此,本文是阐明放置在感受器之间的硅衬底的容性加热的先驱。研究表明,在硅中加入掺杂剂后,损耗正切随掺杂剂浓度的增加而减小,但退火后损耗正切随掺杂剂浓度的增加而保持不变。
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引用次数: 1
Least-square fit, Ω counters, and quadratic variance 最小二乘拟合,Ω计数器,和二次方差
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138854
F. Vernotte, M. Lenczner, P. Bourgeois, E. Rubiola
This work is motivated by the wish to have the most precise measurement of a frequency ν and of the variance σy2 of its fractional fluctuations in a given time τ, out of high-end general-purpose instruments. Thanks to the progress of digital electronics, new time-interval analyzers have been made available in the last few years. Such instruments measure the time stamp of the input events at high sampling speed (MS/s), and with high resolution (10-100 ps). We propose the linear regression as a means to estimate the frequency from time stamps of the input signal. The frequency counter based on the linear regression is called Ω counter. The linear regression is interpreted as a finite impulse response filter which takes the frequency samples as the input, and delivers the estimated frequency at the output. We derive the transfer function of such filter, which turns out to be parabolic shaped. As compared to the H and Λ counters, the Ω counter features better rejection of the background noise. We define the quadratic variance (QVAR), a wavelet variance similar to the Allan variance, and we derive its statistical properties. The QVAR is superior to the AVAR and MVAR in the rejection of the background noise.
这项工作的动机是希望最精确地测量频率ν和在给定时间τ内其分数波动的方差σy2,而不是高端通用仪器。由于数字电子学的进步,新的时间间隔分析仪在过去几年中已经可用。这种仪器以高采样速度(MS/s)和高分辨率(10-100 ps)测量输入事件的时间戳。我们提出线性回归作为从输入信号的时间戳估计频率的一种手段。基于线性回归的频率计数器称为Ω计数器。线性回归被解释为一个有限脉冲响应滤波器,它以频率样本作为输入,并在输出处提供估计的频率。我们推导出了这种滤波器的传递函数,它是抛物线形的。与H和Λ计数器相比,Ω计数器具有更好的抑制背景噪声的功能。我们定义了二次方差(QVAR),一种类似于Allan方差的小波方差,并推导了它的统计性质。QVAR在抑制背景噪声方面优于AVAR和MVAR。
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引用次数: 1
The effect of contour concentricity on the acceleration sensitivity of quartz crystal resonators 轮廓同心度对石英晶体谐振器加速度灵敏度的影响
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138873
P. Morley
Optimization of the acceleration sensitivity of quartz crystal resonators has been a challenging problem for resonator designers for decades. The structural symmetry of the resonator and mount combination has been shown in past work, both theoretical and practical, to have a strong influence on acceleration sensitivity, and specialized structures have been developed [1], [2], [3] that have greatly improved performance. However, with applications such as airborne radar systems, there is a persistent demand for further improvement. The design of many of the practical high-stability resonator products that have a need for good acceleration sensitivity is also constrained by other attributes, such as high quality factor, and these constraints typically result in a low-frequency overtone device with a fully contoured resonator element design. In this paper, the effect of the concentricity of the contour shape on the quartz disk in contoured resonators is considered, and results are presented that demonstrate a strong correlation between the contour offset from the blank center and the acceleration sensitivity of the resonator. Methods are also described for measurement of the contour position relative to the perimeter of the disk.
几十年来,优化石英晶体谐振器的加速度灵敏度一直是谐振器设计人员面临的一个具有挑战性的问题。在过去的理论和实践工作中,谐振器和安装架组合的结构对称性已经被证明对加速度灵敏度有很强的影响,并且已经开发了专门的结构[1],[2],[3],这些结构大大提高了性能。然而,随着诸如机载雷达系统的应用,有进一步改进的持续需求。许多需要良好加速灵敏度的实用高稳定性谐振器产品的设计也受到其他属性的限制,例如高质量因子,这些限制通常导致低频泛音器件具有完全轮廓的谐振器元件设计。本文研究了等高线谐振器中等高线形状的同心度对石英盘的影响,并给出了等高线与空白中心的偏移量与谐振器的加速度灵敏度之间有很强的相关性的结果。还描述了用于测量相对于圆盘周长的轮廓位置的方法。
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引用次数: 0
Faraday anomalous dispersion optical filter at 461nm utilizing a strontium hollow cathode lamp 利用锶空心阴极灯的461nm法拉第反常色散滤光片
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138919
D. Pan, Xiaobo Xue, Xiang Peng, Jingbiao Chen, Hong Guo, Bin Luo
We realize a Faraday anomalous dispersion optical filter (FADOF) operating on the 88Sr (5s2)1S0-(5s5p)1P1 transition, utilizing a strontium hollow cathode lamp (HCL). At the magnetic field strength of 1460 G and the HCL discharge current of 22 mA, a single transmission peak with a maximum transmission of 28.8% is obtained. The dependence of transmission on magnetic field and HCL discharge current is qualitatively studied. This demonstration will be used to build a Faraday laser, which will be applied in the Sr optical clock.
我们利用锶空心阴极灯(HCL)实现了88Sr (5s2) 1so -(55p)1P1跃迁的法拉第反常色散滤光片(FADOF)。在磁场强度为1460 G, HCL放电电流为22 mA时,获得了最大传输率为28.8%的单传输峰。定性地研究了传输对磁场和HCL放电电流的依赖关系。该演示将用于构建法拉第激光器,该激光器将应用于Sr光学时钟。
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引用次数: 2
How to qualify LGT crystal for acoustic devices? 如何使LGT晶体符合声学器件的要求?
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138800
M. Allani, X. Vacheret, A. Clairet, T. Baron, J. Boy, C. Reibel, O. Cambon, J. Lesage, O. Bel, H. Cabane, C. Pécheyran
Before using any piezoelectric crystal to realize acoustic devices (sensors, transducers, actuators or ultra-stable resonators) and beyond its mechanical properties, the crystal material itself has to be characterized. Whether the very interesting properties of the LGT crystal make it the best candidate to substitute quartz crystal for frequency output devices, we must take into account the crystal quality. Indeed, applications require homogeneous crystals with reproducible physical properties.
在使用任何压电晶体来实现声学器件(传感器、换能器、致动器或超稳定谐振器)及其机械性能之前,必须对晶体材料本身进行表征。LGT晶体的有趣特性是否使其成为取代石英晶体的频率输出器件的最佳人选,我们必须考虑晶体质量。事实上,应用需要具有可重复物理性质的均匀晶体。
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引用次数: 2
Uncertainty evaluation of 2013 TL METODE link calibration tour 2013年TL METODE链路校准行程的不确定度评定
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138829
Shinn-Yan Lin, Yi-Jiun Huang, Wen-Hung Tseng
We targeting analyzed the UTC link delay of GPS station PTBB of PTB to TWTF of TL and expressed it as 3 groups: the uncompensated GPS common clock difference measurements, cable delay measurement, and the total delay variations of fixed GPS stations and travelling calibrator used in this METODE calibration tour. The total delay variation of fixed GPS stations PTBB and TWTF was evaluated by monitoring their long-term CCD of the same type receiver more than 350 days. For the BIPM travelling calibrator BP1C and BP0U, we used a moving cesium clock method to evaluate their instability of total delay in different antenna position. Our study was helpful for clarifying the uncertainty composition of the current PTB-TL link and could reduce it.
我们有目标地分析了PTB的GPS站PTBB到TL的TWTF的UTC链路延迟,并将其表示为3组:未补偿的GPS公共时钟差测量,电缆延迟测量,以及本次METODE校准中使用的固定GPS站和旅行校准器的总延迟变化。通过350 d以上的同类型接收机CCD监测,评价了固定GPS站PTBB和TWTF的总延迟变化。对于BIPM旅行校准器BP1C和BP0U,我们采用移动铯时钟法评估了它们在不同天线位置的总延迟不稳定性。我们的研究有助于澄清当前PTB-TL链路的不确定性组成,并可以减少它。
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引用次数: 2
mSTAR: Testing special relativity in space using high performance optical frequency references mSTAR:使用高性能光学频率参考来测试空间中的狭义相对论
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138789
T. Schuldt, S. Saraf, A. Stochino, K. Doringshoff, S. Buchman, G. Cutler, J. Lipa, Si Tan, J. Hanson, B. Jaroux, C. Braxmaier, N. Gurlebeck, S. Herrmann, C. Lammerzahl, A. Peters, A. Alfauwaz, Abdulaziz Alhussien, Badr N. Alsuwaidan, T. Al Saud, H. Dittus, U. Johann, S. P. Worden, R. Byer
The proposed space mission mini Space-Time Asymmetry Research (mSTAR) aims at a test of special relativity by performing a clock-clock comparison experiment in a low-Earth orbit. Using clocks with instabilies at or below the 1·10-15 level at orbit time, the Kennedy-Thorndike coefficient will be measured with an up to two orders of magnitude higher accuracy than the current limit set by ground-based experiments. In the current baseline design, mSTAR utilizes an optical absolute frequency reference based on molecular iodine and a length-reference based on a high-finesse optical cavity. Current efforts aim at a space compatible design of the two clocks and improving the long-term stability of the cavity reference. In an ongoing Phase A study, the feasibility of accommodating the experiment on a SaudiSat 4 bus is investigated.
迷你时空不对称研究(mSTAR)任务旨在通过在近地轨道上进行时钟对比实验来验证狭义相对论。使用在轨道时间不稳定在或低于1·10-15水平的时钟,肯尼迪-桑代克系数的测量精度将比目前地面实验设定的极限高两个数量级。在目前的基线设计中,mSTAR采用了基于分子碘的光学绝对频率参考和基于高精细光学腔的长度参考。目前的工作目标是两个时钟的空间兼容设计和提高腔参考的长期稳定性。在正在进行的A阶段研究中,研究了在沙特4号公共汽车上容纳实验的可行性。
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引用次数: 5
Simple method for ADC characterization under the frame of digital PM and AM noise measurement 在数字调幅和调幅噪声测量框架下的ADC特性的简单方法
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138933
A. C. Cárdenas-Olaya, E. Rubiola, J. Friedt, M. Ortolano, S. Micalizio, C. Calosso
The last years improvements of electronic circuits has allowed the appliance of digital systems in phase noise measurement techniques where low noise and high accuracy are required, yielding flexibility in the implementation and setup of measurement systems. By definition, any measure performed is always affected and limited by the noise of the measurement instrument itself. Considering that the Analog to Digital Converter (ADC) is the core and front end of digital systems, its residual noise has an important impact on the system performance. Consequently, the selection of the proper ADC becomes a critical issue for the system implementation. Currently, the information available in literature deeply describes the ADC features mainly at frequencies offsets far-from-carrier. Nevertheless for time and frequency applications the performance close to the carrier is an important concern as well. In this paper, a simple method for ADC characterization is proposed based on the Phase Locked Loop (PLL) definition and on Phase and Amplitude Modulation (PM/AM) measurements, focused in obtaining the relevant information of ADC noise contributions for phase noise measurement applications. The purpose of such a method is to find the parameters of a state ADC noise model using a technique which avoids the use of complex hardware and allows having a low computational costs performance.
近年来,电子电路的改进使得数字系统在相位噪声测量技术中得以应用,这些技术需要低噪声和高精度,从而在测量系统的实施和设置方面具有灵活性。根据定义,进行的任何测量总是受到测量仪器本身噪声的影响和限制。模数转换器(ADC)是数字系统的核心和前端,其残余噪声对系统性能有重要影响。因此,选择合适的ADC成为系统实现的关键问题。目前,文献中的信息主要是在远离载波的频率偏移处深入描述ADC的特性。然而,对于时间和频率应用,接近载波的性能也是一个重要的问题。本文提出了一种基于锁相环(PLL)定义和调相调幅(PM/AM)测量的简单ADC表征方法,重点是获取ADC噪声贡献的相关信息,用于相位噪声测量应用。这种方法的目的是使用一种避免使用复杂硬件并允许具有低计算成本性能的技术来找到状态ADC噪声模型的参数。
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引用次数: 5
Measuring buffer-gas pressure in sealed glass cells 测量密封玻璃电池中的缓冲气体压力
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138885
T. Driskell, M. Huang, J. Camparo
In alkali rf-discharge lamps used for optical pumping in atomic clocks and magnetometers, a buffer-gas (Kr or Xe) allows electrons to extract energy from an rf-field, and these energized electrons eventually produce alkali resonant light. Contrary to naïve intuition, rf-discharge lamps can lose their noble-gas buffer over time. Recently, we began a long-term experimental program to better understand the mechanism of noble-gas loss in rf-discharge lamps, and needed a non-destructive means of measuring buffer-gas pressure in sealed glass cells. For this purpose, we employ the Kazantsev, Smirnova, and Khutorshchikov (KSK) technique, which is based on inferring buffer-gas pressure from the collision shift of an alkali ground-state hyperfine transition frequency νhfs. Here, we discuss the basic the KSK technique and two modifications that we have implemented for its improvement: use of a diode laser for optical pumping, and extrapolation of νhfs to zero magnetic field. Testing our system's long-term performance with a very low pressure reference cell (i.e., 3.3 torr Xe), we find a reproducibility of 0.2% and an absolute accuracy of 5%. Further, our systematic drift is less than one mtorr/month.
在用于原子钟和磁力计光泵浦的碱rf放电灯中,缓冲气体(Kr或Xe)允许电子从rf场中提取能量,这些被激发的电子最终产生碱谐振光。与naïve的直觉相反,rf放电灯会随着时间的推移失去其惰性气体缓冲。最近,我们开始了一项长期实验计划,以更好地了解射频放电灯中惰性气体损失的机制,并且需要一种非破坏性的方法来测量密封玻璃电池中的缓冲气体压力。为此,我们采用了Kazantsev, Smirnova和Khutorshchikov (KSK)技术,该技术基于从碱基态超精细跃迁频率νhfs的碰撞位移推断缓冲气体压力。在这里,我们讨论了基本的KSK技术和我们已经实现的两个改进:使用二极管激光器进行光泵浦,并将νhfs外推到零磁场。在非常低的参考压力池(即3.3 torr Xe)下测试系统的长期性能,我们发现再现性为0.2%,绝对精度为5%。此外,我们的系统漂移小于1个月。
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引用次数: 1
Performance evaluation of CMOS-MEMS thermal-piezoresistive resonators in ambient pressure for sensor applications CMOS-MEMS热压阻谐振器在传感器环境压力下的性能评估
Pub Date : 2015-04-12 DOI: 10.1109/FCS.2015.7138823
Jung-Hao Chang, Cheng-Syun Li, Cheng-Chi Chen, Sheng-Shian Li
In this work, we report a thermally driven and piezoresistively sensed (a.k.a. thermal-piezoresistive) CMOS-MEMS resonator with high quality factor in ambient pressure and with decent power handling capability. The combination of (i) no need of tiny capacitive transducer's gap spacing thanks to thermal-piezoresistive transduction, (ii) the use of high-Q SiO2/polysilicon structural materials from CMOS back-end-of-line (BEOL), and (iii) the bulk-mode resonator design leads to resonator Q more than 2,000 in ambient pressure and 10,000 in vacuum. Key to attaining sheer Q in ambient pressure relies on significant attenuation of the air damping effect through thermal-piezoresistive transduction as compared to conventional capacitive resonators which necessitate tiny transducer's gap for reasonable electromechanical coupling. With such high Q and inherent circuit integration capability, the proposed CMOS-MEMS thermal-piezoresistive resonators can potentially be implemented as high sensitivity mass/gas sensors based on resonant transducers. The resonators with center frequency around 5.1 MHz were fabricated using a standard 0.35 μm 2-poly-4-metal (2P4M) CMOS process, thus featuring low cost, batch production, fast turnaround time, easy prototyping, and MEMS/IC integration.
在这项工作中,我们报告了一个热驱动和压阻感测(又称热压阻)CMOS-MEMS谐振器,在环境压力下具有高质量因数,并且具有良好的功率处理能力。(i)由于热压阻转导,不需要微小的电容式换能器间隙间距,(ii)使用CMOS后端(BEOL)的高Q SiO2/多晶硅结构材料,以及(iii)体模谐振器设计导致谐振器Q在环境压力下超过2000,在真空中超过10,000。与传统电容谐振器相比,在环境压力下获得绝对Q的关键在于通过热压阻转导显著衰减空气阻尼效应,而传统电容谐振器需要微小的换能器间隙来实现合理的机电耦合。由于具有如此高的Q值和固有的电路集成能力,所提出的CMOS-MEMS热压阻谐振器可以作为基于谐振换能器的高灵敏度质量/气体传感器来实现。该谐振器的中心频率约为5.1 MHz,采用标准的0.35 μm 2-聚4-金属(2P4M) CMOS工艺,具有成本低、批量生产、周转时间快、易于原型制作和MEMS/IC集成等特点。
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引用次数: 3
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时间频率公报
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