Plane-wave analysis of the near field of light diffracted by ultrasound.

Although the phenomenon of light diffraction by ultrasound has been studied very extensively during the last 40 years, almost all investigations were concentrated on the individual far field (Fraunhofer) diffraction orders. In the present paper, the basic theory is developed for studying the near field (Fresnel region) of light diffracted by an arbitrary plane ultrasonic wave and the fundamental periodicity properties are stated. The general plane-wave theory of Raman-Nath has been taken as a starting point. From the analysis, the near field of the diffracted light is seen to be highly sensitive to variations of the ultrasonic amplitude and this feature provides a useful technique for observing weak ultrasonic waves. In particular, for the specific case of Raman-Nath-type diffraction, a procedure is presented allowing the reconstruction of the time waveform of the ultrasonic wave from the diffracted light intensity signal.     

Bragg diffraction of light by ultrasonic shear waves in a plane-parallel layer

We have studied anisotropic Bragg diffraction of light by ultrasonic shear waves in an optically isotropic plane-parallel layer. We have established the analytical dependences of the relative intensities and polarization azimuths of reflected and transmitted diffracted waves on the intensity of the ultrasound, the layer thickness, the angle of incidence, and the polarization azimuth of the incident light. We show that rotation of the plane of polarization of the diffracted wave is determined by the different Fresnel reflection of the s and p polarized components of the incident light in the plane-parallel layer. We have determined that in mismatched acousto-optic structures, deep amplitude modulation of transmitted and reflected light is possible which is an order of magnitude greater than the usual modulation in matched structures.     

光场衍射的量子理论

用量子理论推导的平面孔衍射积分，和现有的衍射理论完全一致。光子衍射的观点可以帮助了解光的衍射本质，衰减波是不确定性原理的要求。     

Diffraction of light by two spatially separated parallel ultrasonic waves of different frequency

A theory is developed for the diffraction of light by two spatially separated parallel ultrasonic progressive waves of different frequency. The preliminary theories ofRaman andNath [C. V.Raman and N. S.Nath, Proc. Indian Acad. Sci. A2, 406–412; 413–420 (1935)] for normal and oblique incidence are taken to be valid. The resulting equations are extensions of earlier results of R.Mertens, Z. Physik160, 291–296 (1960). The predicted periodicity of the diffraction spectrum with increasing sound beam separation agrees with the well known periodicity of the light intensity distributions in the Fresnel zone of the phase grating formed by the first ultrasonic wave. Results of numerical calculations are presented to illustrate features of the theoretical results, as reflected in the first order of diffraction for 3.0 and 6.0 Mc ultrasonic waves in water.     

Diffraction testing of ultrasonically-produced phase gratings using a double beam illumination method

An optical far-field method is described for studying ultrasonically-produced phase gratings with very small phase variations. An ultrasonic grating is illuminated by two plane waves mutually inclined at an angle properly matched to the diffraction angle of the inspected grating. The expressions for the time-dependent irradiance in the far-field diffraction orders are derived. They enable the extraction of the Raman-Nath parameter of a progressive ultrasonic beam. The application of the technique to pulsed ultrasound beams is proposed.     

光盘光学系统的矢量衍射理论分析

本文以完整的矢量衍射理论分析了光盘光学系统。首先将入射的聚焦光束分解为平面波谱 ,得到每个平面波的振幅矢量 ;然后计算光盘对每个平面波的衍射 ,得到衍射波的振幅矢量 ,从而得到了整个衍射波场的空间频谱 ;最后计算物镜光瞳上的能通量 ,得到光盘系统的读出信号。在衍射计算中 ,光盘被定义为二维金属光栅 ,根据信息符的不同模型 ,选用坐标变换方法、耦合波方法或模态方法。对于典型的 DVD光学系统来说 ,矢量理论的结论与标量理论相差甚远 ,要得到正确的结果就必须采用矢量衍射理论     

Double Bragg and Bragg/normal diffraction of two laser beams by ultrasound

An accurate theory is developed describing the diffraction of two light beams incident at various Bragg angles on an ultrasonic beam, taking into account the phase-difference between the two light waves. The general results are outside the range of the Raman-Nath approximation and a comparison is made with an alternative configuration in which one of the light waves is normally incident.     

Acousto-optic polarizer

In the paper theoretical bases are presented, as well as their experimental verification, concerning an idea of a new type acousto-optic light ellipticity modulator, based on light diffraction phenomenon by ultrasonic waves, within the so-called intermediate diffraction regime. The experimental data obtained really good match relevant theoretical predictions, and the device examined enables a continuous light ellipticity variation from 0 up to 1, with low diffraction loses and for low electric voltage applied to ultrasonic transducer.     

On the polarization of light diffracted by ultrasound

If light is diffracted by ultrasound in an isotropic medium with acoustically induced birefringence, the state of polarization is modified in each order of diffraction with respect to the initial state of polarization of the incident light wave. In the present paper, some polarization effects are discussed in the case of normal light incidence. In general a rotation of the main polarization plane occurs, together with a change of the ellipticity. However, while the former effect always takes place, the latter only occurs in the case of ultrasonic light diffraction of the intermediate type. Some experimental measurements are included in case of argon laser light being diffracted by an ultrasonic wave propagating in fused silica (SiO2).     

相位、振幅调制两用声光调制器设计

针对实际应用中大多的光调制器只能实现单参数调制的情况,提出一种既可以调相又可以调幅的声光调制器的设计方案.运用矩阵级数解法求解正常声光相互作用Raman-Nath方程,通过计算机编程进行数值求解,得到衍射光的衍射光强和附加位相变化,从而指出以往解法的一些不合理性,并找到声波功率和衍射光的光强和位相的关系,为声光效应的位相调制和振幅调制设计提供了一种可行的方法.结合调制声波频率,可在同一个调制器上进行调幅、调相、调偏转方向.     

Ultrasonic monitoring of zeolite synthesis in real time

Variations of the phase and amplitude of a transmitted ultrasonic wave package were monitored in real time during the synthesis of zeolite A and zeolite X. For both materials, characteristic changes of the measured attenuation and the sound velocity of ultrasonic waves traveling in the reaction fluid were observed, correlating with the processes of gel formation and zeolite crystallization, respectively. Aging effects of the reaction fluids are demonstrated. The observation of the onset of the zeolite crystallization was verified with ex-situ X-ray diffraction (XRD) measurements.     

Collinear diffraction of a divergent light beam by ultrasound in a paratellurite crystal

The collinear acousto-optical interaction of a divergent light beam with ultrasound along the approximate [110] direction in a TeO₂ paratellurite crystal is investigated theoretically and experimentally. The collinear diffraction is studied at an ultrasonic frequency f ≈ 149 MHz under exposure of the crystal to an uncollimated laser light beam at a wavelength λ = 633 nm and at an angle of divergence as large as 4°. It is shown that the collinear diffraction along the direction forbidden for acousto-optical interactions of plane waves occurs only under conditions where the light beam is uncollimated and the diffraction efficiency increases with an increase in the divergence of the light beam. It is proved that the attenuation of an acoustic wave brings about a decrease in the diffraction efficiency and an increase in the transmission bandwidth of the device used. A model of the collinear acousto-optical filter based on a paratellurite crystal with an interaction length l = 2.7 cm is analyzed. The collinear acousto-optical filter is characterized by a high resolving power (～3000), a high diffraction efficiency (I₁/I₀ ≈ 0.8), and a large angular aperture (Δ? ≈ 4°). This makes collinear diffraction promising for use in acousto-optical filters based on paratellurite crystals.     

Use of acousto-optic grating as a sensor for determining the adulteration in liquids being used in daily life

An optical sensor has been developed for finding the proportional composition of two liquids in a mixture. The variation of the refractive index of a liquid produces light diffraction phenomenon. A liquid mixture is filled in a rectangular glass cell, which is placed orthogonically to the incident collimated beams of light. This cell consists of a piezoelectric crystal vibrator for generating ultrasonic waves. The collimated light while passing through this cell gets diffracted. The diffracted dots are collected by a converging lens and displayed in the back focal plane of the lens. The location of the diffracted dots decide the composition of mixture constituents namely fuel oils, edible oils, wine, water, etc. Thus, the adulteration of various liquids can be determined by having the knowledge of the position of diffraction dots.     

Diffraction of elastic waves by cracks: application to time-of-flight inspection

We obtain expressions for the angular variation of diffracted signal amplitude when infinite plane P or SV waves are incident on a semi-infinite crack. The importance of these calculations to non-destructive testing by the time-of-flight technique is discussed. We obtain the optimum angles to use for the case of a defect symmetrically placed with respect to transmitter and receiver. These angles are those for which the ratio of emitted signal amplitude to incident wave amplitude is a maximum.

We compare two methods of obtaining the exact solution for the diffraction of elastic waves at a semi-infinite crack. Both methods involve the solution of a set of integral equations, the equations being different in the two methods. In the far-field approximation the results from these methods are shown to be equivalent.     

Reflection of light from a plane-parallel layer modulated by ultrasound

The features of Bragg reflection of light from a plane-parallel layer perturbed by a standing ultrasonic wave are investigated. It is shown that, with an increase in the thickness of the modulated layer, the reflection coefficient of the light wave diffracted by the ultrasound reaches the maximum value at smaller intensities of the ultrasound and is determined by the relation between the refractive indices of the adjoining media. The possibility of efficient acousto-optical diffraction of light in the Bragg reflection regime at superlattices of photoelasticity in the field of low-frequency ultrasonic waves with a moderate level of acoustic power is established.     

Reflexion und Brechung des Lichtes an optisch einachsigen Medien

Reflection and Refraction of Light in Uniaxial Media The formulae for the amplitude relations for the reflection and refraction of plane monochromatic light waves at a plane interface between an isotropic and an arbitrarily anisotropic medium, derived in an earlier paper by the author, are specialized here to the case of uniaxial media. The incidence both from the isotropic and from the uniaxial medium is dealt with. A series of special cases (normal incidence, optical axis parallel or normal to the plane of incidence, transition from uniaxial to isotropic media a.o.) are considered.     

A theoretical study of ultrasonic wave transmission through a fluid-solid interface

This article develops a model for the study of the transient ultrasonic waves radiated by a transducer in a liquid and transmitted into a solid through a plane interface. The method is an extension to the transient case, of the angular spectrum method previously developed for the monochromatic case. It is based on the decomposition of the ultrasonic field, in impulse plane waves. The radiated waveform is calculated at any point in the field by a simple summation of these impulse plane waves, where the propagation delay and the refraction have been taken into account. These plane waves are, first of all, delayed by an amount of time corresponding to the travel time up to the considered field point. The transmission through the plane interface is taken into account by using Snell refraction laws and transmission coefficients. In the obtained results all the waves previously described by other authors are highlighted: direct wave, edge waves, head waves as well as subsurface waves with a clear resolution between compression and shear waves.     

超声波在乙酸乙酯和乙酸甲酯中的弛豫吸收

关于超声波在乙酸乙酯和乙酸甲酯中的吸收问题曾引起了多次热烈的争论,为此,作者采用了行波中的光衍射法做了进一步的实验研究。在实验过程中,特别注意了仪器的精确度问题,并且对许多种吸收系数已知的标准液体进行了多次重复的测量,结果很好地符合于一般的公认值,且误差不超出5％。对于两种乙酸酯,测量的频率范围是3-30Mc,温度保持20℃。测量结果表明,在实验的误差范围内,吸收的实验值很好地落在唯象单弛豫理论所预期的曲线上,弛豫频率对乙酸乙酯约在12Mc附近,对乙酸甲酯约在7Mc附近。并且通过对不同纯度的乙酸乙酯进行重复的测量,表示杂质引起的附加吸收并不影响吸收曲线的特性。因此也就明某些作者测量得到两个弛豫频率的结果是不真实的。作者并认为Karpovich首先提出的旋转异构的理论是适合于解释这两种液体的驰豫吸收的机理的。     

局域体全息光栅的衍射特性

基于三维耦合波理论，研究了两束有限宽度的任意偏振平面波干涉产生的局域体全息光栅的衍射问题。以单位均匀振幅的任意偏振平面波为例，给出了透射波和衍射波振幅的主分量和交叉分量的解析表达式，讨论了记录过程和再现过程中入射的参考光波的偏振角对透射波和衍射波振幅的影响。计算结果表明，记录过程中的偏振角越小，形成的光栅内的耦合越强，衍射效率越高，但光束质量越差；再现过程中不同的偏振角，由于入射波和衍射波的电矢量的不同方向的耦合强弱不同，透射波和衍射波振幅的主分量和交叉分量的振幅变化行为不同。     

Ultrasonic studies in binary liquid mixtures of benzene and coconut oil near the critical region

Velocity and attenuation of ultrasonic waves have been measured in complex binary mixtures of benzene and multicomponent coconut oil near the critical temperature in the low MHz region. The experimental results are analysed in terms of theories developed by Kawasaki and Mistura. The characteristic frequency and amplitude parameter determined by fitting the data in the relations proposed by Kawasaki-Mistura are scaled at reduced temperature and these agree with scaling exponents. A small velocity dispersion is also observed.