Thermally induced optical multistability with a beam splitter in the degenerate two-beam interferometer configuration

Thermally induced optical multistability has been obtained with light of arbitrary wavelength in a cavity structure with strong interference effects on the input mirror absorption. The system constitutes the degenerate version of the recently introduced two-beam interferometric bistable devices based on a beam splitter yielding in-phase interference outputs.     

-70 dB optical carrier suppression by two-beam coupling in photorefractive media

Suppression of an optical carrier from an RF modulated laser beam of wavelength 532 nm is performed using two-beam coupling in photorefractive barium titanate. A theoretical analysis reveals that perfect suppression can be achieved at a specific modulation strength, which depends on the gain and intensity ratio between the two beams. The experiments achieve a maximum of -72.9±2.4 dB carrier suppression at the theoretically ideal modulation strength, and -61.0±2.4 dB for small modulation strengths. Received: 29 November 2000 / Revised version: 2 February 2001 / Published online: 27 April 2001     

A Fourier optics model of two-beam scanning laser interferometers

The article illustrates the use of Fourier optics to describe the operation of two-beam scanning laser interferometers. It deals with the effect of diffraction on the spatial periodicity of a monochromatic and coherent beam. Particular attention is given to the analysis of systematic errors in high-accuracy laser metrology. The article reviews the special case of plane wave and Gaussian illuminations, examines how beam truncation affects the period of traveling fringes and presents a general relation between the relative wavelength deviation and the impulse standard deviation of the photons. Received: 18 February 1998 / Revised: 21 October 1998 / Accepted: 16 November 1998     

磁光盘光头瞬态光学特性研究

本文研究了磁光盘光头的瞬态光学特性,其结果实现了光头部件的最优化设计。     

光擦除双光束耦合的阈值开关特性

基于光擦除折射率光栅和双光束耦合构成了一种新型的非线性光学器件.用带导模型和耦合波方程建立了理论公式.用KNSBN单晶和Ar~+激光进行了实验演示.理论和实验都表明该器件具有明显的阈值开关特性.     

Effect of photoconductivity and dielectric constant of the photorefractive materials on two-beam coupling gain and phase-shifts for a single unidirectional photorefractive ring resonator

Photoconductive dependence of two-beam coupling between the pump beam and the signal beam in photorefractive materials have been analyzed in case of non-degenerate wave mixing under the undepleted pump approximation method. During the two-wave mixing in photorefractive materials, steady state amplification of the signal beam and oscillation characteristics of a single unidirectional ring resonator has been studied. The domination of the two-beam coupling gain over the combined absorption and resonator losses such as Fresnel reflections from the crystal and imperfect mirrors builds up unidirectional oscillation. The buildup of such an oscillation leads to a saturation of the gain, which can be explained in terms of the photorefractive phase-shift. The existence of this phase-shift between the photorefractive index grating and the illumination intensity pattern, which is of characteristic of the photorefractive effect, leads to an energy transfer between the two beams. For a single unidirectional ring resonators, the effects of photoconductivity of the materials, two-beam energy coupling coefficient, dielectric constant, crystal thickness, and material's absorption coefficient on amplification of the two-beam coupling gain and photorefractive phase-shifts of the signal beam have also been studied in detail. It has been found that amplification of the signal beam and phase-shift can be enhanced by taking the photorefractive crystal having higher photoconductivity and lower dielectric constant, which improves performance of the resonators.     

Time-resolved two-beam coupling in silicon

The analytical solution of the optical field equations and the material equations for two-beam coupling in a medium with real excitation of quasiparticles is given. Transient energy transfer is analyzed throughout the range of the coherent overlapping of the excitation and probe pulses for a hypothetical medium with variable relation between the real part and the imaginary part of the nonlinear response. A detailed comparison between the theory and the model experiments for two-beam coupling in silicon is given.     

Efficiency enhancement of a two-beam free-electron laser using a nonlinearly tapered wiggler

A nonlinear and non-averaged model of a two-beam free-electron laser (FEL) wiggler that is tapered nonlinearly in the absence of slippage is presented. The two beams are assumed to have different energies, and the fundamental resonance of the higher energy beam is at the third harmonic of the lower energy beam. By using Maxwell's equations and the full Lorentz force equation of motion for the electron beams, coupled differential equations are derived and solved numerically by the fourth-order Runge-Kutta method. The amplitude of the wiggler field is assumed to decrease nonlinearly when the saturation of the third harmonic occurs. By simulation, the optimum starting point of the tapering and the slopes for reducing the wiggler amplitude are found. This technique can be applied to substantially improve the efficiency of the two-beam FEL in the XUV and X-ray regions. The effect of tapering on the dynamical stability of the fast electron beam is also studied.     

Test of a conical lens using a two-beam shearing interferometer

We describe a two-beam shearing interferometric technique for testing refractive conical lenses. The optical configuration requires two mutually coherent plane wave fronts transmitted through the conical lens under test. The method can also be considered as an interferometric fringe projection technique in which a fringe pattern produced by the two interfering wave fronts is projected through the optical elements. We describe the principle of the method and present application of the technique for determining the angle formed by the flat surface and the conical surface of a refractive conical lens.     

Efficiency enhancement of a two-beam free-electron laser using a nonlinearly tapered wiggler

A nonlinear and non-averaged model of a two-beam free-electron laser(FEL) wiggler that is tapered nonlinearly in the absence of slippage is presented.The two beams are assumed to have different energies,and the fundamental resonance of the higher energy beam is at the third harmonic of the lower energy beam.By using Maxwell’s equations and the full Lorentz force equation of motion for the electron beams,coupled differential equations are derived and solved numerically by the fourth-order Runge-Kutta method.The amplitude of the wiggler field is assumed to decrease nonlinearly when the saturation of the third harmonic occurs.By simulation,the optimum starting point of the tapering and the slopes for reducing the wiggler amplitude are found.This technique can be applied to substantially improve the efficiency of the two-beam FEL in the XUV and X-ray regions.The effect of tapering on the dynamical stability of the fast electron beam is also studied.     

双棱镜结构中透射光束的古斯-汉欣位移

当入射角大于全反射临界角时,双棱镜结构中透射和反射光束的古斯-汉欣(Goos-Haenchen)位移具有饱和效应,并且只有波长数量级。利用稳态相位法研究了当入射角小于全反射临界角时双棱镜结构中透射光束的古斯-汉欣位移。研究表明,传播模式下透射光束的古斯-汉欣位移是空气层厚度、入射角和双棱镜折射率的周期性函数。当透射共振时,透射光束的古斯-汉欣位移可达入射波长的几十倍,与入射角大于全反射临界角的情况相比,透射光束的位移通过边界的相互作用具有共振增强效应;在非共振点处,对称结构中的反射光束具有与透射光束相同的古斯-汉欣位移。共振增强的透射光束的位移在光开关及光耦合器中具有潜在的应用。     

Real-time monitoring of all-optical poling by two-beam second-harmonic generation

We demonstrate a simple method for monitoring all-optical poling in real time. The poling pattern created by the writing beam at the fundamental frequency and the seed beam at the second-harmonic frequency is reconstructed by two-beam second-harmonic generation because of the writing beam and an additional probe beam at the fundamental frequency. When the probe beam is sufficiently weak, it does not distort the poling process. The method provides a significantly stronger signal than monitoring based on a probe beam alone.     

Tunable enhanced spatial shifts of reflective beam on the surface of a twisted bilayer of hBN

We investigated Goos-Hänchen (GH) and Imbert-Fedorov (IF) shifts of a reflective beam on a twisted bilayer of hexagonal boron nitride (hBN), where a left circularly polarized beam was incident on the surface. Our results demonstrate that the twist angle between the two optical axes plays an important role in obtaining large shifts with a high reflectivity. The GH shift with 10λ₀ is achieved, while the reflectivity is near 100% by tuning the twist angle. The maximum of the IF shift is found in the certain condition satisfied by the reflective coefficients, and the shift strongly depends on the twist angle between the optical axes of the two slabs. The spatial shifts obtained directly from the GH and IF shift definitions were provided, which indicate that the theoretical results from the stationary phase method are believable. These results may open up a new way for developing the nano-optical devices.     

A two-beam method for extending the working range of electrostatic parallel-plate micro-actuators

Electrostatic actuation is widely used because of its rapid speed and low power consumption. The parallel-plate actuator is one of the most basic, but also most common electrostatic actuators for Micro Electro Mechanical System (MEMS) applications. The effective working range of parallel-plate actuator is limited to only one-third of the initial gap owing to the pull-in instability. Different strategies have been reported to extend the stable working range, but are mostly focused on improvement of the control circuit. In this paper, we aim to report some progress toward solution of the working range problem from the design of suspension beam. A suspension beam called “two-beam” is presented to achieve parallel-plate actuator with extended working range, but without penalties of complex control circuit and large actuation voltage. A bumper structure is employed in the design of two-beam to change the spring constant near the critical point of pull-in, and a two-layered polysilicon surface process is used to fabricate this two-beam structure. Theoretical calculation and numerical simulation indicate that the working range can be extended depending on the position and depth of the bumper. The fabrication of a 2×2 array of parallel-plate actuators suspended by four sets of two-beam is implemented, and a somewhat larger working range, i.e. about 50% of the initial gap is achieved in the experiment.     

The Goos-Hänchen shift on a layer

A beam of linearly polarised light suffering total internal reflection is shifted longitudinally. Two different shifts are found, belonging to the eigenstates of TE and TM polarisation. A much smaller transverse shift occurs when left and right circular polarisation are considered as eigenstates. The measured shifts agree well with theoretical predictions and are referred to as Goos-Hänchen effect. In this contribution shifts are investigated for the case of frustrated total internal reflection on a thin optical barrier. As well known, there appears, in addition to the reflected beam, a transmitted beam for which hitherto the shifts were not reported.     

Speckle interferometry methods for displacement and strain measurements using photorefractive crystal

Photorefractive crystals offer several attractive features such as high resolution and in situ processing. As the images are erasable, these crystals are suitable for read–write applications and hence find potential use in speckle photography, image processing and holography. The barium titanate (BaTiO₃) crystal as recording medium has been extensively used as a novelty filter for real-time in-plane displacement measurements employing two-beam coupling configuration. This paper presents new optical configurations in speckle shear photography to measure in-plan displacement and the strain in real time using BaTiO₃ crystal as recording medium. Speckle photography studies are made using a simple two-beam coupling configuration. In speckle shear photography, a diffused object illuminated with two parallel narrow laser beams is imaged inside the crystal, and a pump beam is added at this plane. The speckle patterns due to each beam and the pump beam produce index gratings. When the object is deformed, the speckle patterns shift consequently. We now have four speckle fields: two generated from the interaction of pump beam with the index gratings and two pertaining to deformed states directly transmitted through the crystal. Thus, the fields from respective points on the object interfere after passage through the crystal and produce the Young's fringe patterns. Due to strain, the fringes in each pattern are of different width and orientation, resulting in the generation of a Moiré pattern. The strain is obtained from the width and orientation of the fringes in the Moiré pattern. The experiments are conducted on a specimen with a notch, which is subjected to tensile loading. The in-plane displacement is measured separately in another experiment. The above studies are carried out at Nd–Yag laser.     

Effect of incoherent illumination on two-beam interaction of light waves in a bismuth titanate crystal

Experimental investigations and theoretical analysis of the effect of external illumination on the dynamics of formation of photorefractive reflection gratings in a (100)-cut bismuth titanate crystal showed that, in the case of counter interaction of laser beams with a wavelength of 633 nm, incoherent green light may cause a change in the sign of the two-beam gain.     

半导体光放大器亚皮秒量级超快动态特性的研究

通过考虑脉冲频谱的增益色散，提出了一个分析亚皮秒光脉冲在半导体光放大器(SOA)中传输的新思路.分别对超快光脉冲在时域和频域内进行离散化，建立了一个更为合理的传输数值模型.基于该模型，观察到了脉冲频谱的明显漂移，并探讨了漂移量与脉冲载波波长、脉冲能量、脉冲宽度、SOA长度和注入电流等外部条件之间的关系，从理论上解释了文献没有证实的实验结果.同时，基于交叉增益调制原理，利用双光束结构，描述了载流子加热、光谱烧孔效应和双光子吸收等非线性效应引起的增益压缩.理论分析的结果为改善SOA的动态特性提供了指导. 关键词： 半导体光放大器 超快非线性效应 增益色散性     

Simultaneously Large and Opposite Lateral Beam Shifts for TE and TM Modes on a Double Metal-Cladding Slab

We report simultaneously large and opposite Goos-Hanchen shifts for TE and TM beams on a double metalcladding slab. Theoretical examination shows that both positive and negative lateral shifts are in two orders of the wavelength. It is also found that the magnitude of the lateral beam shift strongly depends on the thickness of the upper metal layer. The optimal thickness of the upper metal layer for zero reflection is found to be the critical thickness above which a negative beam shift occurs. Numerical calculations are in good agreement with the theoretical results.     

保偏膜式光学玻璃电流传感头温度特性理论分析

用理论分析和计算机仿真的方法研究了环境温度变化导致的光源中心波长移动和传感头材料Verdet常量与应力双折射变化对光学电流互感器输出性能的影响.结果表明：环境温度由10℃变化到30℃时,归一化尺度因子降低了1.379%.其中光源中心波长随温度的变化对输出尺度因子的影响大于其他光学参量温度特性的影响.因此,在光学电流互感器设计中,必须采取必要的技术措施减小或补偿传感头温度特性对系统的不利影响.