Displacement-noise-free gravitational-wave detection with two Fabry-Perot cavities

We propose two detuned Fabry-Perot cavities, each pumped through both the mirrors, positioned in line as a toy model of the gravitational-wave (GW) detector free from displacement noise of the test masses. It is demonstrated that the noise of cavity mirrors can be completely excluded in a proper linear combination of the cavities output signals. This model is illustrated by a simplified round trip model (without Fabry-Perot cavities). We show that in low-frequency region the obtained displacement-noise-free response signal is stronger than the one of the interferometer recently proposed by S. Kawamura and Y. Chen.     

波长扫描法布里-珀罗干涉仪的优化设计

分析了可用于绝对距离测量的波长扫描法布里－珀罗干涉仪腔内多光束干涉对输出信号的影响, 及由此产生的相位测量误差。研究表明, 通过选择合适的腔端面反射率和参考腔长度可以减小相位测量误差。优化选择的腔面反射率为０．１０～０．１５, 参考腔长为０．９５ ｍ ｍ , 在１ ｍ ｍ 范围内系统可达到０．０５ μｍ 的测距精度。     

Measure of the tunnelling time of a single photon through a Fabry-Perot cavity

The displacement of the peak of a wavepacket that crosses an empty Fabry-Perot cavity is measured by using photon pairs generated by parametric down conversion, a Hong-Ou-Mandel (HOM) interferometer and coincidence detection. The Fabry-Perot cavity distorts the photon wavepacket. The HOM interferometer is a good tool to map this distortion. We discuss the corrections which must be made in the two-photon inteference results, in order to achieve the true data researched. Even in the absence of active absorbers media or media with inverted atomic populations, superluminal-like effects connected with the tunnelling phenomena are observed. An interpretation of the experimental results in the causality frame is given.     

Pulse stretching and spectroscopy of subnanosecond optical pulses using a Fabry-Perot interferometer

A Fabry-Perot interferometer has been used to produce optical pulses of variable width from a short gaussian input pulse. Pulse stretching of two to five or more times the original pulse width is possible provided a longer tail on the output pulse is acceptable. Calculations and measurements of pulse shape and interferometer finesse are presented, along with a discussion of short-pulse spectroscopy using a Fabry-Perot interferometer.     

非线性介质F－P干涉仪光束输出特性的理论研究

本文对准直光束射入含有非线性介质的Ｆ－Ｐ干涉仪内的光场分布进行了研究．由于非线性介质与光的作用，从Ｆ－Ｐ干涉仪出射的光束截面上的相移随位置的改变呈一定的分布，进而引起了干涉仪的透射率和输出光束重新分布。当干涉仪两个面的反射系数较大时，输出光束截面出现光强和相移的跃变．这种现象与以前在平面波假设下所得的光强分布所得结论有较大的不同．     

2 μm semiconductor disk laser with a heterodyne linewidth below 10 kHz

We demonstrate a 2 μm semiconductor disk laser emitting in a single longitudinal mode with a linewidth in the <10 kHz range. A heterodyne detection scheme was used for precise linewidth measurements. In these experiments, the output beams of two identical laser cavities were superposed in order to generate a beat note signal on a photodiode. In the absence of active frequency stabilization, a linewidth of 45 kHz was measured at an output power of 100 mW. When using a frequency stabilization consisting of a feedback loop with a Fabry-Perot interferometer as wavelength reference, the linewidth could be further reduced to 9 kHz.     

Time-resolved spectral analysis of transient processes in Fabry-Perot interferometers

Parameters of a spectrochronograph that represents a Fabry-Perot interferometer combined with a spatial-time analyzer (a streak camera) are analyzed. Using numerical simulation, time scans of interferograms for bandwidth-limited and phase-modulated pulsed optical signals are obtained. The conditions are determined under which a Fabry-Perot interferometer represents a high-accuracy instrument for measuring the timeresolved spectral dynamics of short optical signals. In particular, an adequate representation of relatively smooth and monotone changes in amplitude and phase characteristics of an optical signal in a spectrochronograph requires that the mode lifetime in a Fabry-Perot interferometer be matched to the time scale of changes in the spectral structure of a pulse being studied. The character of distortions formed in the time-resolved spectral patterns in the case where these conditions are not fulfilled is qualitatively determined, and quantitative estimates of the distortions are presented. The results of the analysis and the numerical calculations show that a spectrochronogram obtained using a Fabry-Perot interferometer and a time analyzer (a streak camera) with parameters corresponding to the criteria formulated in the paper enable one to obtain information on the initial amplitude-phase pattern of a light pulse.     

法-珀腔干涉仪的实验研究

在分析法-珀腔干涉仪测量原理的基础上,阐述了它在高分辨率光谱测量领域中的应用。搭建了一套法-珀腔干涉仪系统,利用该系统对某多纵模氦氖激光器的模式进行了实际测量,并就实验结果进行了分析。     

双边缘技术多普勒测风激光雷达标准具的优化

 优化了基于双边缘技术的直接测风多普勒激光雷达中F-P标准具的工作参数。确定激光谱宽后，选择适当的F-P标准具自由谱间距，可正确消除瑞利背景噪声的影响。分析了标准具镜面缺陷、非严格平行和入射光束发散角对其透过率曲线的影响。将标准具透过率函数表达为唯一系统参数，即反射精细度的函数；通过计算散粒噪声极限时的相对测量误差，可确定最优反射精细度以及激光频率相对标准具透过率中心频率的最佳偏置；由最优反射精细度可得到入射到标准具光束的最大发散角和标准具的最小通光口径。     

157nm准分子激光制作的光纤珐-珀干涉折射率传感器

利用157nm激光微加工技术在单模光纤的端面加工一个微槽,用一段光纤将其密封形成一个空气珐-珀腔,这段密封用光纤与两侧的空气界面形成第二个珐-珀腔,传感器干涉条纹由两个珐-珀腔共同作用而成。计算表明,当两珐-珀腔长度接近时,传感器反射光谱的波谷位置会随着外界折射率变化而发生漂移。这种双干涉腔结构提供了一种新的折射率测量方案。实验表明当外界折射率在1．3333～1．4712内变化时,响应为非线性,平均灵敏度为28．21nm／RIU,系统折射率分辨率为3．54×10^-5,与理论计算吻合。     

Fabry-Perot interferometers built by photonic crystal fiber pressurization during fusion splicing

We report on a microscopic Fabry-Perot interferometer whose cavity is a bubble trapped inside an optical fiber. The microcavity is formed by pressuring a photonic crystal fiber (PCF) with large voids during fusion splicing with a conventional single-mode fiber. The technique allows achieving high repeatability and full control over the cavity size and shape. It was found that the size of the PCF voids contributes to control the cavity size independently of the pressure in the PCF. Our devices exhibit a record fringe contrast of 30?dB (visibility of 0.999) due to the ellipsoidal cavity whose surfaces compensate for the diffraction of the reflected beam. The strain sensitivity of the interferometers is higher when the cavities are ellipsoidal than when they are spherical.     

Confocal Fabry-Perot interferometer for frequency stabilization of laser

The frequency shift of laser source of Doppler lidar is required in the range of a few megahertzs. To satisfy this demand, a confocal Fabry-Perot (F-P) interferometer was manufactured as the frequency standard for frequency stabilization. After analyzing and contrasting the center frequency shift of confocal Fabry-Perot interferometers that are made of three different types of material with the change of temperature, the zerodur material was selected to fabricate the interferometer, and the cavity mirrors were optically contacted onto the end of spacer. The confocal Fabry-Perot interferometer was situated within a double-walled chamber, and the change of temperature in the chamber was less than 0.01 K. The experimental results indicate that the free spectral range is 500 MHz, the full-width at half maximum is 3.33 MHz, and the finesse is 150.     

Photoinduced refractive index changes and photoluminescence in semiconductor-doped glasses

Transient refractive index changes of Cd(S, Se)-glasses induced by 10 ns laser pulses at 532 nm are determined from time-resolved transmission measurements of a Fabry-Perot interferometer containing samples of the semiconductor glass. Comparison of the transient index measurements with time-resolved photoluminescence supports an electron-hole-plasma model and suggests that the relaxation mechanism is Auger recombination of the electrons and the holes.     

Effect of frequency chirping of light from a Q-switched ruby laser on the speckle in Fabry-Perot rings

It has been observed that, when a Fabry-Perot interferometer was illuminated through a diffuser with light from a Q-switched ruby laser, the speckle smeared out in the Fabry-Perot rings. This is interpreted as a movement of the individual speckle resulting from the frequency chirping of light from the ruby laser and the high resolution of the Fabry-Perot interferometer.     

Jamin Fabry-Perot interferometer

A novel type of interferometer was designed and tested experimentally. It combines the advantages of the spatial path separation used in the two-wave polarized Jamin interferometer and the high sensitivity that characterizes the multiwave Fabry-Perot interferometer. Furthermore, when it is sandwiched between crossed polarizers it shows a sensitivity to intracavity anisotropies that is proportional to the square of the Fabry-Perot interferometer's finesse.     

Coupling laser radiation to a fabry-perot cavity with a single-mode optical fiber

Three aspects of coupling to Fabry-Perot cavities used in optical frequency standards are discussed: the use of a single-mode optical fiber to maintain coupling stability while improving vibration isolation of the cavity, the required stability of the coupling geometry, and the phase and polarization variations resulting from fiber movement. Optical fiber coupling should be useful when laser linewidths and stabilities at the Hertz level are desired.     

The effect of parametric oscillatory instability in a Fabry-Perot cavity of the Einstein telescope

The nonlinear effect of a parametric oscillatory instability in a Fabry-Perot cavity of the Einstein Telescope is investigated. Unstable combinations of elastic and optical modes are calculated for two possible configurations of the third-generation gravitational-wave detector. The results are compared with those for the LIGO gravitational-wave interferometer.     

计算电容中Fabry-Perot干涉仪测量位移的相位修正方法

计算电容是复现电学阻抗单位的基准装置, 利用计算电容值和量子霍尔电阻值可以准确计算出精细结构常数α. 计算电容的本质是通过高准确度地测量屏蔽电极的位移, 实现对电容量值的测量. 因此, 基于Fabry-Perot干涉仪的精密电极位移测量系统是计算电容装置中最为核心和关键的部分. 在Fabry-Perot干涉仪测位移过程中, 由于高斯激光束存在轴向Gouy相位, 该附加相位将会引起相邻干涉条纹对应位移的变化(大于或者小于λ/2), 导致位移的测量值与实际值存在偏差. 本文阐述了高斯激光场的传播特性, 利用高斯激光束在自由空间和透过薄透镜复振幅的变换关系, 建立了计算电容装置中Fabry-Perot干涉仪透射光束的传输模型; 通过对不同腔长的Fabry-Perot干涉仪透射光场相位的分析, 获得了高斯激光束轴向Gouy相位修正与传输距离的关系. 结果表明, 当腔长从111.3 mm移动至316.3 mm时, 在接收距离为560 mm的情况下, 高斯光束轴向Gouy 相位引起的位移修正的绝对值最小为0.7 nm, 其相对相位修正量|δL|/|ΔL| = 3.4×10^-9.     

The effect of variation of the Fabry-Perot-Michelson interferometer parameters on the sensitivity of interferometric detectors of gravitation waves

The characteristics of a laser Fabry-Perot-Michelson interferometer intended for detecting ultrasmall displacements caused by gravitational waves are investigated. The results of numerical calculations of the signal-to-shot-noise ratio variations as a result of emergence of asymmetry in the arms (e.g., in the case of disbalance of loss and transmittance of the mirrors in two Fabry-Perot interferometers) are considered. The required degree of laser and interferometer mode matching is estimated and the effect of the output mode cleaner is revealed.     

Precise determination of high metallic reflection in the far-infrared: The reflection-Fabry-Perot

We demonstrate in theory and experiment the use of a reflective Fabry-Perot interferometer to precisely determine the far-infrared reflectance of smooth metal surfaces. The absorption loss in the metal is amplified and thus conveniently measuredon resonance whereas the 100% reflectance reference is takenoff resonance. Absolute accuracy of ±0.1% is achievable.