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变光外差为电外差的双频激光探测 被引量:21
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作者 李磊 赵长明 +2 位作者 高岚 孙鑫鹏 杨苏辉 《光学学报》 EI CAS CSCD 北大核心 2007年第2期249-252,共4页
演示一种双频激光位移探测系统,阐述光载波激光雷达的概念。由单块非平面环形腔固体激光器和声光调制器产生100MHz载波频率的双频激光束,作为探测光束,经过光路收发系统,探测位于电动导轨上目标的位移变化,信号处理部分采用高速光电探... 演示一种双频激光位移探测系统,阐述光载波激光雷达的概念。由单块非平面环形腔固体激光器和声光调制器产生100MHz载波频率的双频激光束,作为探测光束,经过光路收发系统,探测位于电动导轨上目标的位移变化,信号处理部分采用高速光电探测器响应后信号的电子外差解调方式,位移量的获得通过高频锁相放大器解算参考光束与信号光束的相位差并计算获得。通过双频激光把光学外差探测变为了电子外差探测,系统重复误差小于3%。系统在利用无线电雷达信号处理方式的同时,保留了激光探测的优点,位移测量系统具有良好的重复性。 展开更多
关键词 光学测量 激光雷达 双频激光探测 拍频 外差
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光纤干涉型传感器原理及其相位解调技术 被引量:15
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作者 裴雅鹏 杨军 苑立波 《光学与光电技术》 2005年第3期17-21,共5页
光纤干涉型传感器是由于外界信号作用到干涉仪上,引起干涉信号相位的变化,通过对相位的解调来反应外界信号。介绍了光纤干涉型传感器的结构及其原理,并对各种干涉型传感器的相位调制与解调技术的优缺点进行了分析。
关键词 光纤干涉型传感器 相位解调 零差法 外差法
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基于光频调节的干涉型光纤水听器相位补偿检测方法 被引量:14
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作者 王泽锋 罗洪 +2 位作者 熊水东 倪明 胡永明 《光学学报》 EI CAS CSCD 北大核心 2007年第4期654-658,共5页
提出了一种基于光源频率调节的干涉型光纤水听器主动相位补偿的信号检测方法。详细介绍了该方法的基本检测原理,对信号解调误差进行了理论分析与仿真。为了验证该方法的可行性,搭建了实验系统,并编写了实时的信号采集、处理程序,对某一... 提出了一种基于光源频率调节的干涉型光纤水听器主动相位补偿的信号检测方法。详细介绍了该方法的基本检测原理,对信号解调误差进行了理论分析与仿真。为了验证该方法的可行性,搭建了实验系统,并编写了实时的信号采集、处理程序,对某一干涉型光纤水听器的声压灵敏度进行了测试。在频带20 Hz-1.3 kHz上,平均声压灵敏度为-162.2 dB(0 dB=1 rad/μPa),波动小于±0.8 dB,与采用相位载波调制解调方法测量的结果基本吻合。实验结果证明该方法是有效的。由于传感部分不含有源器件,便于实现全光纤化,且解调算法简单、检测频带宽,该方法能被广泛应用到各种干涉型光纤传感器的信号检测当中。 展开更多
关键词 光学测量 光纤水听器 检测方法 外差法 无源零差 相位载波调制和解调
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干涉型光纤水听器数字化外差检测方法动态范围上限研究 被引量:14
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作者 张楠 孟洲 +1 位作者 饶伟 熊水东 《光学学报》 EI CAS CSCD 北大核心 2011年第8期84-90,共7页
阐述了干涉型光纤水听器外差检测的基本原理,对干涉型光纤水听器数字化外差检测方法动态范围上限进行了研究。理论分析了由外差频率决定的动态范围上限以及反正切、微分-交叉相乘(DCM)两种正交解调算法决定的动态范围上限,并进行了综合... 阐述了干涉型光纤水听器外差检测的基本原理,对干涉型光纤水听器数字化外差检测方法动态范围上限进行了研究。理论分析了由外差频率决定的动态范围上限以及反正切、微分-交叉相乘(DCM)两种正交解调算法决定的动态范围上限,并进行了综合对比。分析结果表明,不同的外差频率所能达到的动态范围上限不同;相同的外差频率结合不同的正交解调算法,所能达到的动态范围上限也不相同。在固定采样率下,设置外差频率为采样率的1/4,并结合反正切算法,可以实现更大的动态范围上限。数值模拟证明了理论分析的正确性。构建了基于外差检测的光纤水听器系统并进行了实验研究,实验结果与理论相符,证实了采用外差检测方法实现大规模光纤水听器阵列更大动态范围检测的可行性。 展开更多
关键词 光纤光学 光纤水听器 信号检测 外差 动态范围上限
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基于激光外差干涉术的薄膜厚度测量方法 被引量:7
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作者 时凯 苏俊宏 齐媛 《应用光学》 CAS CSCD 北大核心 2019年第3期473-477,共5页
针对光学薄膜厚度测量困难问题,提出了一种基于激光外差干涉术的薄膜厚度测量方法。采用经典迈克尔逊干涉光路,利用外差干涉原理将薄膜厚度差转换为光程差,以精密位移平台为扫描机构实现薄膜厚度的逐行扫描测量。测量系统在恒温实验条件... 针对光学薄膜厚度测量困难问题,提出了一种基于激光外差干涉术的薄膜厚度测量方法。采用经典迈克尔逊干涉光路,利用外差干涉原理将薄膜厚度差转换为光程差,以精密位移平台为扫描机构实现薄膜厚度的逐行扫描测量。测量系统在恒温实验条件下20 min内的漂移不超过8 nm,测量结果平均差小于1 nm,通过与椭圆偏振仪的测量结果比较,测量差值为12.97 nm,表明了该方法的可行性。 展开更多
关键词 激光干涉 外差 薄膜厚度 测量
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Dependence of interferogram phase on incident wavenumber and phase stability of Doppler asymmetric spatial heterodyne spectroscopy 被引量:7
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作者 Ya-Fei Zhang Yu-Tao Feng +3 位作者 Di Fu Peng-Chong Wang Jian Sun Qing-Lan Bai 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第10期255-260,共6页
Instrument drifts introduce additional phase errors into atmospheric wind measurement of Doppler asymmetric spatial heterodyne spectroscopy (DASH). Aiming at the phase sensitivity of DASH to instrument drifts, in this... Instrument drifts introduce additional phase errors into atmospheric wind measurement of Doppler asymmetric spatial heterodyne spectroscopy (DASH). Aiming at the phase sensitivity of DASH to instrument drifts, in this paper we calculate the optical path difference (OPD) and present an accurate formula of DASH interferogram. By controlling variables in computational ray-tracing simulations and laboratory experiments, it is indicated that initial phase is directly determined by incident wavenumber, OPD offset and field of view (FOV). Accordingly, it is indicated that retrieved phase of DASH is sensitive to slight structural change caused by instrument drift, which provides the proof of necessary-to-track and -correct phase errors from instrument drifts. 展开更多
关键词 atmospheric wind measurement Doppler asymmetric spatial heterodyne spectroscopy optical path difference interference phase
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共路外差表面轮廓仪 被引量:6
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作者 韩昌元 刘斌 +2 位作者 卢振武 张晓辉 顾去吾 《光学学报》 EI CAS CSCD 北大核心 1993年第7期670-672,共3页
本文提出了一种改进的外差共路干涉仪,用于表面粗糙度的测量,它对机械振动、温度变化等极不敏感,纵向分辨率为0.1nm,可用于表面粗糙度的实际检测工作.
关键词 轮廓仪 表面粗糙率 光洁度量仪
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基于光纤声光调制的轮廓检测技术研究 被引量:6
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作者 高传梅 王辉林 《应用光学》 CAS CSCD 北大核心 2013年第6期1062-1066,共5页
为实现对工件表面微观形貌测量系统要求远距离传输、实时在线及非接触测量,同时达到高精度、高分辨力、高信噪比测量,提出基于声光调制的光纤外差法轮廓检测技术,采用外差法可有效抑制随机噪声,提高信噪比,通过原理分析建立数学模型;系... 为实现对工件表面微观形貌测量系统要求远距离传输、实时在线及非接触测量,同时达到高精度、高分辨力、高信噪比测量,提出基于声光调制的光纤外差法轮廓检测技术,采用外差法可有效抑制随机噪声,提高信噪比,通过原理分析建立数学模型;系统设计画出工件表面粗糙度测量框图;实验测量得出被测工件表面粗糙度,分辨力达到1nm;讨论了不确定度来源及控制方法,测量精度为1‰。实验结果表明:外差法、声光调制及光纤测试技术可有效降低噪声、提高分辨力和测量精度。 展开更多
关键词 光纤 轮廓检测 声光调制 纳米级测量 外差法
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基于AlGaN/GaN HEMT太赫兹探测器的340 GHz无线通信接收前端 被引量:6
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作者 廉宇轩 冯伟 +4 位作者 丁青峰 朱一帆 孙建东 秦华 程凯 《红外与激光工程》 EI CSCD 北大核心 2021年第5期126-133,共8页
利用天线耦合AlGaN/GaN HEMT太赫兹探测器的自混频和外差混频效应,分别设计并测试了340 GHz频段直接检波式和外差混频式接收机前端。通过接收机信噪比的测量和接收功率的定标,得到了两种接收机的等效噪声功率。直接检波模式下探测器的... 利用天线耦合AlGaN/GaN HEMT太赫兹探测器的自混频和外差混频效应,分别设计并测试了340 GHz频段直接检波式和外差混频式接收机前端。通过接收机信噪比的测量和接收功率的定标,得到了两种接收机的等效噪声功率。直接检波模式下探测器的响应度约为20 mA/W,直接检波模式和外差混频模式下接收机的等效噪声功率分别约为−64.6 dBm/Hz^(1/2)和−114.79 dBm/Hz。在相同的载波功率和接收信号带宽条件下,当本振太赫兹波功率大于−7 dBm时,外差混频接收的信噪比优于直接检波的信噪比。当本振功率大于0 dBm时,外差混频接收机表现出优良的解调特性,其信噪比高出直接检波接收机的信噪比10 dB以上。 展开更多
关键词 氮化镓 太赫兹无线通信 太赫兹探测器 直接检波 外差混频
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超精密空间分离式外差利特罗平面光栅编码器位移测量系统 被引量:5
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作者 王磊杰 郭子文 +2 位作者 叶伟楠 张鸣 朱煜 《光学精密工程》 EI CAS CSCD 北大核心 2022年第5期499-509,共11页
面向浸没式光刻机双工件台的超精密位置测量应用需求,提出了一种超精密空间分离式外差利特罗平面光栅编码器位移测量系统。给出了测量系统的原理与方案设计、系统各部件的设计及制造、编码器测量原理推导及实验验证等。所设计平面光栅... 面向浸没式光刻机双工件台的超精密位置测量应用需求,提出了一种超精密空间分离式外差利特罗平面光栅编码器位移测量系统。给出了测量系统的原理与方案设计、系统各部件的设计及制造、编码器测量原理推导及实验验证等。所设计平面光栅编码器位移测量系统的相位卡的细分率为4096,测量分辨率为x50 pm/z25 pm。实验结果表明:该平面光栅位移测量系统可实现x向和z向位移的同时测量,z向运动行程为±1 mm,满足光刻机双工件台的垂向调焦需求;Rx/Ry/Rz单轴转动或三轴联合转动极限转角为±1.5 mrad时,交流信号质量仍然满足测量要求,光刻机双工件台的Rx/Ry/Rz的调平转动满足需求。所设计的平面光栅编码器位移测量系统能够实现光刻机双工件台相应的测量功能且具有较高的性能指标。 展开更多
关键词 浸没式光刻机 位移测量 平面光栅编码器 空间分离 外差 利特罗角
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光纤激光相干合成中的相位控制方法与实验 被引量:4
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作者 武敬力 刘京郊 +2 位作者 邢忠宝 刘金生 范馨燕 《激光与红外》 CAS CSCD 北大核心 2009年第6期584-587,共4页
相位控制技术是光纤激光相干合成技术中的关键技术。主要开展了爬山和外差两种相位控制方法研究。爬山法是根据探测合成光强变化,软件自动寻优补偿相位偏差而获得稳定的最大干涉光强输出。外差法则是利用外差探测得到合成光束间的相位... 相位控制技术是光纤激光相干合成技术中的关键技术。主要开展了爬山和外差两种相位控制方法研究。爬山法是根据探测合成光强变化,软件自动寻优补偿相位偏差而获得稳定的最大干涉光强输出。外差法则是利用外差探测得到合成光束间的相位变化从而进行实时校正使各光束相位一致。在七阵元光纤列阵相干合成实验系统中,两种方法均实现了对七路光纤光束的相位控制,获得Streh1为0.91的远场相干合成结果。同时也实现了对10 W光纤放大器的相位控制,获得优于λ/10的相位控制精度,对多路大功率激光放大器相干合成具有一定的参考价值。 展开更多
关键词 相干合成 相位控制 爬山法 外差法 光纤列阵
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Robust and high-speed rotation control in optical tweezers by using polarization synthesis based on heterodyne interference 被引量:5
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作者 Wei Liu Dashan Dong +2 位作者 Hong Yang Qihuang Gong Kebin Shi 《Opto-Electronic Advances》 2020年第8期23-29,共7页
The rotation control of particles in optical tweezers is often subject to the spin or orbit angular momentum induced optical torque,which is susceptible to the mechanical and morphological properties of individual par... The rotation control of particles in optical tweezers is often subject to the spin or orbit angular momentum induced optical torque,which is susceptible to the mechanical and morphological properties of individual particle.Here we report on a robust and high-speed rotation control in optical tweezers by using a novel linear polarization synthesis based on optical heterodyne interference between two circularly polarized lights with opposite handedness.The synthesized linear polarization can be rotated in a hopping-free scheme at arbitrary speed determined electronically by the heterodyne frequency between two laser fields.The experimental demonstration of a trapped vaterite particle in water shows that the precisely controlled rotation frequency of 300 Hz can be achieved.The proposed method will find promising applications in optically driven micro-gears,fluidic pumps and rotational micro-rheology. 展开更多
关键词 polarization modulation optical heterodyne optical tweezers optical rotation
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Principle demonstration of fine pointing control system for inter-satellite laser communication 被引量:5
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作者 DONG YuHui LIU HeShan +2 位作者 LUO ZiRen LI YuQiong JIN Gang 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2015年第3期449-453,共5页
Due to high data rates and reliability,inter-satellite laser communication has developed rapidly in these days.However,the stability of the laser beam pointing is still a key technique which needs to be solved;otherwi... Due to high data rates and reliability,inter-satellite laser communication has developed rapidly in these days.However,the stability of the laser beam pointing is still a key technique which needs to be solved;otherwise,the beam pointing jitter noise would reduce the communication quality or,even worse,would make the inter-satellite laser communication impossible.For this purpose,a bench-top of the fine beam pointing control system has been built and tested for inter-satellite laser communication.The pointing offset of more than 100rad is produced by the steering mirror.With beam pointing control system turned on,the offset could be rapidly suppressed to lower than 100 nrad in less than 0.5 s.Moreover,the pointing stability can be kept at 40 nrad for yaw motion and 62 nrad for pitch motion,when the received beam jitter is set at 20rad. 展开更多
关键词 laser beam pointing control inter-satellite laser communication heterodyne laser interferometer differential wave-front sensing(DWS) technique
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Advances in Phase Detection Technique of Surface Plasmon Resonance Biosensor 被引量:1
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作者 Yu Xinglong Wei Xing Deng Yan Liu Fangfang 《稀有金属材料与工程》 SCIE EI CAS CSCD 北大核心 2006年第A03期299-304,共6页
Surface plasmon resonance (SPR) sensing is an optical method based on evanescent wave.SPR biosensor can detect interaction of label-free biomolecules in real-time.With further development,it can become a research ins... Surface plasmon resonance (SPR) sensing is an optical method based on evanescent wave.SPR biosensor can detect interaction of label-free biomolecules in real-time.With further development,it can become a research instrument in proteomics.SPR biosensor can be divided intensity measurement and phase measurement,and the latter possesses higher sensitivity than the former one.This paper attempts to summarize the SPR phase detection theory,discuss the major developments,compare the merits and deficiencies of various methods,and look forward to future prospects. 展开更多
关键词 surface plasmon resonance(SPR) phase detection ELLIPSOMETRY heterodyne INTERFEROMETRY
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A method of measuring micro-impulse with torsion pendulum based on multi-beam laser heterodyne 被引量:2
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作者 Li Yan-Chao Wang Chun-Hui 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第2期229-234,共6页
In this paper, we propose a novel method of multi-beam laser heterodyne measurement for micro-impulse. The measurement of the micro-impulse, which is converted into the measurement of the small tuning angle of the tor... In this paper, we propose a novel method of multi-beam laser heterodyne measurement for micro-impulse. The measurement of the micro-impulse, which is converted into the measurement of the small tuning angle of the torsion pendulum, is realized by considering the interaction between pulse laser and working medium. Based on Doppler effect and heterodyne technology, the information regarding the small tuning angle is loaded to the frequency difference of the multi-beam laser heterodyne signal by the frequency modulation of the oscillating mirror, thereby obtaining many values of the small tuning angle after the multi-beam laser heterodyne signal demodulation simultaneously. Processing these values by weighted-average, the small tuning angle can be obtained accurately and the value of the micro-impulse can eventually be calculated. Using Polyvinylchlorid+2%C as a working medium, this novel method is used to simulate the value of the micro-impulse by MATLAB which is generated by considering the interaction between the pulse laser and the working medium, the obtained result shows that the relative error of this method is just 0.5%. 展开更多
关键词 laser heterodyne Doppler effect Fourier analysis
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Performance Analysis of Temperature and Strain Simultaneous Measurement System Based on Heterodyne Detection of Brillouin Scattering 被引量:1
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作者 Ji-Sheng Zhang Yong-Qian Li Shuo Zhang Li-Juan Zhao 《Journal of Electronic Science and Technology of China》 2008年第4期381-384,共4页
Microwave heterodyne detection can be used to measure the temperature and strain distribution along a fiber with high accuracy in a Brillouin optical time domain reflectometry (BOTDR) system. This method involves si... Microwave heterodyne detection can be used to measure the temperature and strain distribution along a fiber with high accuracy in a Brillouin optical time domain reflectometry (BOTDR) system. This method involves simultaneous measurement of Brillouin scattering and Rayleigh scattering in fiber, and scanning of Brillouin spectrum to obtain the desired information. This paper presents a simultaneous measurement system of temperature and strain based on microwave detection and analyzed the system performances such as measurement accuracy, dynamic range, and spatial resolution theoretically. The analysis shows that the system can achieve a temperature resolution of 1°C and a strain resolution of 100 μs. 展开更多
关键词 Brillouin scattering heterodyne detection STRAIN temperature.
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A novel phase-sensitive scanning near-field optical microscope 被引量:2
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作者 武晓宇 孙琳 +1 位作者 谭峭峰 王佳 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第5期346-351,共6页
Phase is one of the most important parameters of electromagnetic waves. It is the phase distribution that determines the propagation, reflection, refraction, focusing, divergence, and coupling features of light, and f... Phase is one of the most important parameters of electromagnetic waves. It is the phase distribution that determines the propagation, reflection, refraction, focusing, divergence, and coupling features of light, and further affects the intensity distribution. In recent years, the designs of surface plasmon polariton (SPP) devices have mostly been based on the phase modulation and manipulation. Here we demonstrate a phase sensitive multi-parameter heterodyne scanning near-field opti- cal microscope (SNOM) with an aperture probe in the visible range, with which the near field optical phase and amplitude distributions can be simultaneously obtained. A novel architecture combining a spatial optical path and a fiber optical path is employed for stability and flexibility. Two kinds of typical nano-photonic devices are tested with the system. With the phase-sensitive SNOM, the phase and amplitude distributions of any nano-optical field and localized field generated with any SPP nano-structures and irregular phase modulation surfaces can be investigated. The phase distribution and the interference pattern will help us to gain a better understanding of how light interacts with SPP structures and how SPP waves generate, localize, convert, and propagate on an SPP surface. This will be a significant guidance on SPP nano-structure design and optimization. 展开更多
关键词 phase detection scanning near-field optical microscope (SNOM) heterodyne interferometry surface plasmon polariton (SPP) devices
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Opto-mechanical-thermal integration analysis of Doppler asymmetric spatial heterodyne interferometer
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作者 WANG Jin-jiang JIANG Lun +3 位作者 TONG Shou-feng PEI Hui-yi CUI Yong GUO Ming-hang 《中国光学(中英文)》 EI CAS CSCD 北大核心 2024年第6期1489-1511,共23页
In order to improve the detection accuracy of Doppler asymmetric spatial heterodyne(DASH)interferometer in harsh temperatures,an opto-mechanical-thermal integration analysis is carried out.Firstly,the correlation betw... In order to improve the detection accuracy of Doppler asymmetric spatial heterodyne(DASH)interferometer in harsh temperatures,an opto-mechanical-thermal integration analysis is carried out.Firstly,the correlation between the interference phase and temperature is established according to the working principle and the phase algorithm of the interferometer.Secondly,the optical mechanical thermal analysis model and thermal deformation data acquisition model are designed.The deformation data of the interference module and the imaging optical system at different temperatures are given by temperature load simulation analysis,and the phase error caused by thermal deformation is obtained by fitting.Finally,based on the wind speed error caused by thermal deformation of each component,a reasonable temperature control scheme is proposed.The results show that the interference module occupies the main cause,the temperature must be controlled within(20±0.05)℃,and the temperature control should be carried out for the temperature sensitive parts,and the wind speed error caused by the part is 3.8 m/s.The thermal drift between the magnification of the imaging optical system and the thermal drift of the relative position between the imaging optical system and the detector should occupy the secondary cause,which should be controlled within(20±2)℃,and the wind speed error caused by the part is 3.05 m/s.In summary,the wind measurement error caused by interference module,imaging optical system,and the relative position between the imaging optical system and the detector can be controlled within 6.85 m/s.The analysis and temperature control schemes presented in this paper can provide theoretical basis for DASH interferometer engineering applications. 展开更多
关键词 Doppler asymmetric spatial heterodyne interferometer interference module imaging optical system opto-mechanical thermal integration analysis phase error temperature control
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双平衡式相干接收原理及其在外差干涉仪中的应用研究 被引量:4
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作者 庞亚军 王春晖 唐甜甜 《光子学报》 EI CAS CSCD 北大核心 2012年第9期1015-1018,共4页
利用琼斯矩阵理论推导了光学双平衡式相干接收的原理,得到了具有正交相关性的包含全部光学信息的IQ信号,给出了基于IQ正交信号解调待测光信号信息的信号处理算法.基于该原理设计了一种高速微机电系统扫描式激光外差干涉仪,得到了待测玻... 利用琼斯矩阵理论推导了光学双平衡式相干接收的原理,得到了具有正交相关性的包含全部光学信息的IQ信号,给出了基于IQ正交信号解调待测光信号信息的信号处理算法.基于该原理设计了一种高速微机电系统扫描式激光外差干涉仪,得到了待测玻璃的厚度信息分布图.该干涉仪的波前相位差提取准确度可高达0.01rad、测量速度可达40frame/s、最大测量直径可达到300mm,在实时光学检测方面有广阔的应用价值. 展开更多
关键词 双平衡式 相干接收 外差 干涉仪
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Spatial heterodyne spectroscopy for space-based measurements of atmospheric CO_2 被引量:1
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作者 叶函函 王先华 +3 位作者 李志伟 韦秋叶 施海亮 熊伟 《Journal of Beijing Institute of Technology》 EI CAS 2015年第4期540-545,共6页
To reduce the error from measurement and retrieval process, a new technology of spatial heterodyne spectroscopy is proposed. The principle of this technology and the instrument spatial het- erodyne spectrometer (SHS... To reduce the error from measurement and retrieval process, a new technology of spatial heterodyne spectroscopy is proposed. The principle of this technology and the instrument spatial het- erodyne spectrometer (SHS) are introduced. The first application of this technology will be for CO2 measurements from space on a high spectral observation satellite. The outstanding measurement principle and the priority of combination of retrieval algorithm and three channels ( O2 A-band, CO2 1.58 μm and 2.06 μm bands) are theoretically analyzed and numerically simulated. Experiments u- sing SHS prototype with low spectral resolution of 0. 4 cm -1are carried out for preliminary valida- tion. The measurements show clear CO2 absorption lines and follow the expected signature with the- ory spectrum, and the retrievals agreed well with GOSAT CO2 products, except a small bias of about 4 × 10 ^-6. The results show that the ability of spatial heterodyne spectroscopy for CO2 detecting is ob- vious, and SHS is a competent sensor. 展开更多
关键词 spatial heterodyne spectrometer atmospheric CO2 retrieval algorithm ERROR
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