Effect of thickness variations of lithium niobate on insulator waveguide on the frequency spectrum of spontaneous parametric down-conversion

We study the effect of waveguide thickness variations on the frequency spectrum of spontaneous parametric down-conversion in the periodically-poled lithium niobate on insulator (LNOI) waveguide. We analyze several variation models and our simulation results show that thickness variations in several nanometers can induce distinct effects on the central peak of the spectrum, such as narrowing, broadening, and splitting. We also prove that the effects of positive and negative variations can be canceled and thus lead to a variation-robust feature and an ultra-broad bandwidth. Our study may promote the development of on-chip photon sources in the LNOI platform, as well as opens up a way to engineer photon frequency state.     

Phase Measurement Algorithm in Wavelength Scanned Fizeau Interferometer

Wavelength scanned interferometry allows the simultaneous measurement of top surface shape and optical thickness variation of a transparent object consisting of several parallel surfaces. Interference signals from these surfaces can be separated in frequency space, and their phases are detected by discrete Fourier analysis. However, these signal frequencies are shifted from the detection frequency by the refractive index dispersion of the object and a nonlinearity of the wavelength scanning. The Fourier analysis is sensitive to the detuning of the signal frequency and suffers from the multiple-beam interference noise. Conventional error-compensating algorithms cannot be applied to an object consisting of more than three reflecting surfaces. We derive a new 2N-1 sample error-compensating algorithm, which allows the phase detection of any order of harmonic frequency among the interference signals. The new algorithm suppresses the effect of signal frequency detuning as well as the multiple-beam interference noise and can be applied to the measurement of complex objects consisting of more than three reflecting surfaces.     

Visualization of two-dimensional flows by a Liquid (Soap) Film Tunnel

Experimentally produced two-dimensional flows have become possible in recent years due to the invention of Liquid Film Tunnel (LFT) in 1987 by Gharib and Derango. This simple, inexpensive, yet powerful device, which we have improved extensively over the last decade, can generate a variety of flows. Liquid (soap) films can be visualized through light interference effects produced by small variations in the film thickness. Flow-disturbing objects such as cylinders, wedges, and air bubbles create these variations. Monochromatic visualization of these thickness variations will render phenomenally accurate graphic information about the flow patterns thus produced. Under a polychromatic light, these interference effects can be spectacular, due to reflection of different colors by different isothickness regions.     

Correct interpretation of spectral interference measurements of weakly absorbing films of micrometer thickness

We present analytical equations based on thin-film optics with which to extract the thickness of weakly absorbing films from spectral interference measurements, using only the observed constant interference frequency. It is shown that the assumption of a constant index of refraction n for the analysis of interference frequency omega 0 introduces significant errors into the thickness calculation. Instead, the first derivative of n with respect to the energy, n', has to be included as well to yield the correct film thickness, even for small values of n'. The equations presented can be used as constraints in appropriate numerical methods to improve the film thickness iteratively.     

Simultaneous measurement of surface shape and absolute optical thickness of a glass plate by wavelength tuning phase-shifting interferometry

The absolute optical thickness and the surface shape of a glass plate of 7-in. square and 3.1mm thick was simultaneously measured by three-surface interferometry using a wavelength tuning Fizeau interferometer. The wavelength of a tunable diode laser is scanned linearly from 632 to 642 nm, at which the initial and the final phases of the interference fringes for the surface shape and for the optical thickness were separated and measured by a tunable phase-shifting technique. The number of phase variations in the interference fringes during the scanning is counted by discrete Fourier analysis, in which systematic errors caused by a nonlinearity in the wavelength scanning is corrected by a correlation analysis between the observed and theoretical interference fringes. Experimental results demonstrate that the systematic errors in the measured value were 15 nm for the surface shape and 0.6 μm for the absolute optical thickness.     

Simultaneous measurement of several near-parallel surfaces with wavelength-shifting interferometry and a tunable phase-shifting method

Wavelength-shifting interferometry can distinguish in frequency space interference signals from different surfaces, and therefore allows the measurement of optical thickness variation between several quasi-parallel surfaces of a composite transparent object. Frequency analysis of the signal spectrum with a tunable phase-shifting formula can then detect the phase of the individual signals. We have devised a tunable phase-shifting method which uses a freely adjustable number of intensity samples and can be adapted to any frequency spectrum. To extract the signal reliably, two properties of the phase-shifting method are particularly important: it should suppress cross-talk from unwanted frequencies, and it should allow for some variation in the signal frequency. We show that a carefully designed sampling function envelope will combine these benefits, and demonstrate the technique in measurements of three different composite objects each consisting of three reflecting surfaces. The importance of phase-shift linearisation is discussed, and methods for selecting optimal set-up parameters are given.     

超音喷流啸音发声机理的实验研究

啸音是超音速喷流噪声的三大成分之一,其特点是向上游传播的离散纯音,被认为是飞机部件声疲劳的重要因素之一。但到目前为止,啸音仍是喷流噪声研究中理解最少、预测能力最低的成分,研究表明这主要是因为啸音受环境的影响很大,如啸音的强度就受到喷流马赫数、喷流温度、喷嘴唇口厚度以及形状等的影响。本文通过实验研究了在超音速喷流情况下喷嘴唇口厚度对啸音幅值、模态等的影响。实验结果表明,随着喷嘴厚度的增加,啸音的幅值增加达到了10 db以上。啸音的频率则随着唇口厚度的增加有所减小。     

Destructive interference in coherent backscattering of light by an ensemble of cold atoms

The coherent backscattering of light by an ensemble of cold atoms located in a magneto-optical trap is investigated theoretically. The dependence of the gain coefficient on the probe frequency is analyzed in a wide spectral range covering the entire hyperfine structure of the excited state. The calculation is performed for ⁸⁵Rb atoms. It is found that destructive interference can be observed at certain frequencies, which results in gain coefficients smaller than unity. The angular distribution of scattered light is investigated for corresponding frequencies and the dependence of the shape of the cone of destructive interference on the size of the atomic cloud and its optical thickness is analyzed.     

Interference microscopy under double-wavelet analysis: a new approach to studying cell dynamics

This Letter combines a novel experimental approach to the study of intracellular processes with a newly developed technique for multimode time-series analysis. Experiments are performed on isolated pond snail (Lymnaea stagnalis) neurons. Local variations in the cellular refractive index as detected by laser interference microscopy are related to the processes in the cell. A wavelet analysis shows the presence of several identifiable modes in the membrane and intracellular dynamics, and a double-wavelet analysis reveals nonlinear interactions between the regulatory processes in the form of mutual frequency and amplitude modulations.     

Elimination of standing wave effects in ultrasound radiation force excitation in air using random carrier frequency packets

The ultrasound radiation force has been used for noncontact excitation of devices ranging from microcantilevers to acoustic guitars. For ultrasound radiation force excitation, one challenge is formation of standing waves between the ultrasound transducer and the device under test. Standing waves result in constructive/destructive interference causing significant variations in the intensity of the ultrasound field. The standing-wave induced intensity variations in the radiation force can result from minor changes in the transducer position, carrier frequency, or changes in the speed of sound due to changes in ambient temperature. The current study demonstrates that by randomly varying the ultrasound carrier frequency in packets, it is possible to eliminate the negative consequences resulting from the formation of standing waves. A converging ultrasound transducer with a central frequency of 550 kHz was focused onto a brass cantilever. The 267 Hz resonance was excited with the ultrasound radiation force with a carrier frequency that randomly varied between 525 kHz to 575 kHz in packets of 10 cycles. Because each packet had a different carrier frequency, the amplitude of standing wave artifacts was reduced by a factor of 20 compared to a constant frequency excitation of 550 kHz.     

Suppression of Multiple-Beam Interference Noise in Testing an Optical-Parallel Plate by Wavelength-Scanning Interferometry

Measurements of optical parallel plates in a Fizeau interferometer lead to problems from multiple-beam interference noise unless the back surface of the plate has an additional treatment to prevent its reflection from reaching the detector. Such internal-reflection noise can be separated from the fundamental interference signal by its modulation frequency in a wavelength-scanning interferometer. However, to completely eliminate the noise, the air-gap distance between the testing and reference surfaces of the interferometer must be adjusted to a specific value, depending on the thickness and refractive index of the plate. This adjustment requires an undesirable change in the air gap, which is related to the phase modulation rate of the interferometer, and also requires additional information regarding the testing plate, which makes the measurement laborious. We show that if we add new symmetries to the sampling functions of the phase measuring algorithm, we can obtain significantly greater tolerance for the air-gap error. A new 19-sample algorithm allows a tolerance of ±23% while keeping the systematic errors at less than λ/200. The periodicity of the new algorithm and an integrating bucket technique also provide more options for the thickness of the testing plate, which guarantees an air-gap distance more independent of this thickness.     

深远海线性内波条件下声场时间相关性的空间分布

深海声场特定的干涉结构导致其时间相关性的空间起伏,研究这种空间特性可以为水声信号的探测与处理提供重要参考。利用抛物方程声场仿真模型,联合Monte-Carlo数值方法计算分析了深远海线性内波条件下声场时间相关性的空间分布特性。与现有的研究相比,给出了时间相关性的距离和深度起伏特征。结果表明,当接收达到一定距离,声场时间相关性的空间分布具有与声场干涉条纹类似的结构,声场干涉越强,时间相关性越好。此外,声源频率和声速标准差的变化会引起时间相关性空间分布规律的改变,且会聚区传播模式下的改变强于深海声道传播模式。      

基于GIXRR反射率曲线的二氧化硅纳米薄膜厚度计算

为了快速、准确得到纳米薄膜厚度,采用Kiessig厚度干涉条纹计算薄膜厚度的线性拟合公式,计算了不同系列厚度(10~120 nm)的二氧化硅薄膜。薄膜样品采用热原子层沉积法(T-ALD)制备,薄膜厚度使用掠入射X射线反射(GIXRR)技术表征,基于GIXRR得到的反射率曲线系统讨论了线性拟合公式计算薄膜厚度的步骤及影响因素,同时使用XRR专业处理软件GlobalFit2.0比较了两种方法得到的膜厚,最后提出一种计算薄膜厚度的新方法-经验曲线法。结果表明：峰位级数对线性拟合厚度产生主要影响,峰位级数增加,厚度增大;峰位对应反射角同样对线性拟合厚度有较大影响,表现为干涉条纹周期增大,厚度减小。但峰位级数及其对应反射角在拟合薄膜厚度过程中引入的误差可进一步通过试差法,临界角与干涉条纹周期的校准来减小。对任意厚度的同一样品,线性拟合和软件拟合两种方法得到的薄膜厚度具有一致性,厚度偏差均小于0.1 nm,表明线性拟合方法的准确性。在厚度准确定值的基础上提出薄膜厚度与干涉条纹周期的经验关系曲线,通过该曲线,可直接使用干涉条纹周期计算薄膜厚度,此方法不仅省略了线性拟合过程中确定峰位级数及其对应反射角的繁琐步骤,而且避免了软件拟合过程中复杂模型的建立,对快速、准确获得薄膜厚度信息具有重要的意义。     

A theoretical study of the effects of various laryngeal configurations on the acoustics of phonation.

Simulation of glottal volume flow and vocal fold tissue movement was accomplished by numerical solution of a time-dependent boundary value problem, in which nonuniform, orthotropic, linear, incompressible vocal fold tissue media were surrounded by irregularly shaped boundaries, which were either fixed or subject to aerodynamic stresses. Spatial nonuniformity of the tissues was of the layered type, including a mucosal layer, a ligamental layer, and muscular layers. Orthotropy was required to stabilized the vocal folds longitudinally and to accomodate large variations in muscular stress. Incompressibility and vertical motions at the golttis played an important role in producing and sustaining phonation. A nominal configuration for male fundamental speaking pitches was selected, and the regulation of fundamental frequency, intensity, average volume flow, and vocal efficiency was investigated in terms of variations around this nominal configuration. Parameters which were varied consisted of geometrical factors such as length, thickness, and depth, factors for shaping the glottis, as well as tissue elasticities, tissue viscosities, and subglottal pressure. Since nonlinear stress-strain properties were not included, subglottal pressure did not produce a pronounced effect upon fundamental frequency under these somewhat edealized conditions F0 rasing correlated strongly with increased tension in the ligament, and somewhat with increasing tension in the vocalis. F0 lowering correlated with increase in vocal fold length when the tensions were held constant, but not with increase in vocal fold thickness. Vocal intensity and efficiency are shown to have local maxima as the configurational parameters are varied one at a time. It appears that oral acoustic power output and vocal efficiency can be maximized by proper adjustments of longitudinal tension of nonmuscular (mucosal and ligamental) tissue layers in relation to muscular layers. Quantitative verification of the "body-cover" theory is therefore suggested, and several further implications with regard to control of the human larynx are considered.     

水声材料插入损失测量中的声波多途效应抑制方法

提出了一种在非自由声场中测量水声材料插入损失时抑制多途效应的方法,称为"虚拟端射阵技术"。通过仿真设计,采用逐点移动分时发射信号的方式破坏各路径同频反射干扰的相干性,并在阵长方向形成尖锐的指向性,将上述所有位置的信号延时叠加消除干扰杂波,最后提取所需波形实现对材料插入损失的计算。在尺寸为5.5 m×3.5 m×3.5 m非消声水池中对1.1 m×1.0 m×8 mm的铝板和直径0.5 m、厚8 mm的圆形铝板进行了测量,测量频率范围为3~20 kHz。结果表明虚拟端射阵技术相比于常规方法能降低测量频率下限,矩形铝板和圆形铝板的有效测量频段内误差均小于0.5 dB,有效减少了声波多途效应的干扰。该方法的实现提高了非消声水池中单换能器测量水声材料的能力。      

Investigation of acoustic waves of higher order propagating in plates of lithium niobate

This paper presents theoretical investigation of higher order acoustic plate waves propagating in single crystals of lithium niobate. The dependencies of wave velocity and electromechanical coupling coefficient of antisymmetric, symmetric, and shear horizontal modes on the parameter hf (h=plate thickness, f=operating frequency) are calculated as a function of propagation direction on X-, Y-, and Z-cut lithium niobate plates. It is found that several modes can provide values of K2 that are much greater than can be obtained with surface acoustic waves (SAWs). For example, K2 as high as 0.26 and 0.38 can be obtained from SH1 and A2 modes, respectively. This compares with a maximum value of K2=0.055 for SAWs. It is further shown that there are several crystal cut and propagation directions that can allow efficient excitation and detection of a single mode with minimal interference due to other modes.     

超二代微光像增强器Na2KSb(Cs)多碱光电阴极荧光谱研究

利用785 nm波长激光作为激发源,测量了超二代微光像增强器Na2KSb(Cs)多碱光电阴极的荧光谱.试验中发现该荧光谱不是一条光滑的高斯型曲线,而是一条在高斯型荧光谱上叠加了一定频率间隔小锯齿峰的曲线.经实验验证和理论分析证明该荧光谱上的小锯齿峰是一种干涉条纹,与超二代微光像增强器的结构有关.干涉条纹之间的间距与相邻两干涉峰波长的乘积成正比,与超二代微光像增强器的近贴聚焦距离成反比.干涉条纹调制度大小与Na2KSb(Cs)多碱光电阴极的厚度成反比.通过测量超二代微光像增强器Na2KSb(Cs)多碱光电阴极荧光谱上两相邻干涉条纹的间距和调制度,就可以测量或比较出不同超二代微光像增强器Na2KSb(Cs)多碱光电阴极的膜厚、近贴聚焦距离.研究结果对提高超二代微光像增强器阴极灵敏度和分辨力提供了一个有效的分析手段.     

New data-processing technique for measurement of metallic foil thickness with differential white-light interferometry

The thickness of metallic foil was measured by differential white-light interferometry (DWLI). Two tandem Michelson interferometers (MI), in which the reflective surfaces measured are the surfaces of the metallic foil, were used as a basic interferometry system to obtain interference fringes on a spectrometer. Therefore, the interference fringes depend only on the path differences caused by the thickness of the metallic foil. The interference fringes were analyzed using a modified extremum method based on the least root-mean-square (RMS) deviation. Experimental results for thickness measurements are presented. Measurement time is only 100 ms or less for a thickness of 1–80 μm.     

Enhancing the Resistance of Spectral Characteristics of Interference Coatings to Deviation in Parameters of Layers Entering into Their Composition

A new method of enhancing the resistance of spectral characteristics of interference coatings to deviations in parameters of layers entering into their composition is presented. The spectral characteristic that can be obtained using this method for the energy transmittance (or reflectance) of an experimentally manufactured coating is maximally close to the characteristic of the synthesized coating. A way to use several samples for monitoring the thickness of layers during the process of their formation with the aim to reduce the deviation of optical layers during manufacturing of interference coatings is presented.

     

Multiple-surface interference fringes analysis basing on wavelength-modulated phase shifting interferometry

Phase-shifting interferometry is widely used for high-precision surface measurements, but has difficulty in dealing with parallel optical plates. In this paper, an advanced method is proposed to simultaneously measure surface distributions of parallel optical plates from multiple surface interference fringes. The basic theory behind the technique is by applying wavelength-modulated phase shifting interferometry (WMPSI) to get enough frames of multiple surface interference fringes. In the procession of wavelength-modulated phase shifting, the phase variation for one point of the surface is traced and is processed by Fourier transform, and then the frequency spectrum of every surface can be separated from each other. Therefore, it allows extraction of front surface, back surface and thickness variation from multiple surface interference fringes with high precision.