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Heterodyne Detection of Low-Frequency Fields via Rydberg EIT with Phase Demodulation
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作者 Shenchao Jin Xiayang Fan +2 位作者 Xin Wang Yi Song Yuan Sun 《Chinese Physics Letters》 2025年第11期89-104,共16页
Recently, the rapid progress of quantum sensing research reveals that Rydberg atoms have great potential in becoming high-precision centimeter-scale antennas for low-frequency fields. In order to facilitate efficient ... Recently, the rapid progress of quantum sensing research reveals that Rydberg atoms have great potential in becoming high-precision centimeter-scale antennas for low-frequency fields. In order to facilitate efficient and reliable detection of low-frequency fields via Rydberg atoms, we designed and implemented a heterodyne method based on the linear response to external signals under the condition of Rydberg electromagnetically induced transparency(EIT). Instead of relying on observing changes in the absorption of light by Rydberg atoms, our method focuses on the phase modulation effect on the probe laser induced by low-frequency fields via the Rydberg EIT mechanism and utilizes a special demodulation process to accurately retrieve signals including both amplitude and phase. The general principles of our method apply to both electric and magnetic fields, and it is even possible to realize a combination of both functionalities in the same apparatus. In particular, we experimentally demonstrate the full cycle of operations with respect to both cases. In measuring low-frequency electric fields,we discover that the Rydberg dipole–dipole interaction among atoms induces a linear superposition of Rydberg states with different angular momentum, generating a first-order response corresponding to the signature of the linear Stark effect. As Rydberg atoms have excellent coupling strengths with electric fields, our results indicate that our method can hopefully achieve high-precision performance for practical tasks in the future. 展开更多
关键词 phase demodulation rydberg atoms Rydberg EIT heterodyne method heterodyne detection quantum sensing research observing changes rydberg electromagnetically induced transparency eit
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Fast-Lock Low-Jitter PLL with a Simple Phase-Frequency Detector 被引量:3
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作者 陈莹梅 王志功 章丽 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第1期88-92,共5页
A fast-locking, low-jitter, phase-locked loop (PLL) with a simple phase-frequency detector is proposed. The phase-frequency detector is composed of only two XOR gates. It simultaneously achieves low jitter and short... A fast-locking, low-jitter, phase-locked loop (PLL) with a simple phase-frequency detector is proposed. The phase-frequency detector is composed of only two XOR gates. It simultaneously achieves low jitter and short locking time. The voltage-controlled oscillator within the PLL consists of four-stage ring oscillators which are coupled to each other and oscillate with the same frequency and a phase shift of 45. The PLL is fabricated in 0. 1Stem CMOS technology. The measured phase noise of the PLL output at 500kHz offset from the 5GHz center frequency is - 102.6dBc/Hz. The circuit exhibits a capture range of 280MHz and a low RMS jitter of 2.06ps. The power dissipation excluding the output buffers is only 21.6roW at a 1.8V supply. 展开更多
关键词 phase locked loop phase-frequency detector voltage-controlled oscillator JITTER locking time
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Phase-related noise characteristics of 780 nm band single-frequency lasers used in the cold atomic clock
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作者 Xi Zhang Fei Yang +4 位作者 Zi-Tong Feng Jie-Jun Zhao Fang Wei Hai-Wen Cai Rong-Hui Qu 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第7期273-278,共6页
We propose a method to directly measure phase-related noise characteristics of single-frequency lasers in the 728–980 nm band based on a 120°phase difference interferometer.Differential phase information of the ... We propose a method to directly measure phase-related noise characteristics of single-frequency lasers in the 728–980 nm band based on a 120°phase difference interferometer.Differential phase information of the laser under test is demodulated via the interferometer.Other parameters related to the phase noise characteristics such as linewidth at different observation time, phase/frequency noise, power spectrum density of phase/frequency fluctuation, and Allan deviation are further obtained.Frequency noise as low as 1 Hz^2/Hz can be measured using our system.Then the phase-related noise characteristics of two commercial lasers frequently used in cold atomic clocks are studied systematically by the method.Furthermore, several influencing factors and their relative evolution laws are also revealed, such as the pump current and frequency-locking control parameters.This would help to optimize the laser performance, select laser sources, and evaluate the system performance for cold atomic physics applications. 展开更多
关键词 COLD ATOMIC physics quantum MECHANICS 780 NM LASERS phase/frequency noise
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Robust CMOS phase frequency detector for high speed and low jitter charge pump PLL
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作者 周建政 王志功 《Journal of Southeast University(English Edition)》 EI CAS 2008年第1期15-19,共5页
In order to improve the performance of the existing phase frequency detectors (PFDs), a systematical analysis of the existing PFDs is presented. Based on the circuit architecture, both classifications and comparison... In order to improve the performance of the existing phase frequency detectors (PFDs), a systematical analysis of the existing PFDs is presented. Based on the circuit architecture, both classifications and comparisons are made. A new robust CMOS phase frequency detector for a high speed and low jitter charge pump phrase-locked loop (PLL) is designed. The proposed PFD consists of two rising-edge triggered dynamic D flip-flops, two positive-edge detectors and delaying units and two OR gates. It adopts two reset mechanisms to avoid the LIP and DN signals to be logic-1 simultaneously. Thus, any current mismatch of the charge pump circuit will not worsen the performance of the PLL. Furthermore, it has hardly any dead-zone phenomenon in phase characteristic. Simulations with ADS are performed based on a TSMC 0. 18-μm CMOS process with a 1.8-V supply voltage. According to the theoretical analyses and simulation results, the proposed PFD shows a satisfactory performance with a high operation frequency (≈ 1 GHz), a wide phase-detection range [ ± 2π], a near zero dead-zone ( 〈 0. 1 ps), high reliability, low phase jitter, low power consumption ( ≈100 μW) and small circuit complexity. 展开更多
关键词 phase frequency detectors DEAD-ZONE blind-zone phase characteristic frequency characteristic
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A wideband low-phase-noise LC VCO for DRM/DAB frequency synthesizer
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作者 雷雪梅 王志功 王科平 《Journal of Southeast University(English Edition)》 EI CAS 2010年第4期528-531,共4页
The wideband CMOS voltage-controlled oscillator(VCO)with low phase noise and low power consumption is presented for a DRM/DAB(digital radio mondiale and digital audio broadcasting)frequency synthesizer.In order to... The wideband CMOS voltage-controlled oscillator(VCO)with low phase noise and low power consumption is presented for a DRM/DAB(digital radio mondiale and digital audio broadcasting)frequency synthesizer.In order to obtain a wide band and a large tuning range,a parallel switched capacitor bank is added in the LC tank.The proposed VCO is implemented in SMIC 0.18-μm RF CMOS technology and the chip area is 750 μm×560 μm,including the test buffer circuit and the pads.Measured results show that the tuning range is 44.6%;i.e.,the frequency turning range is from 2.27 to 3.57 GHz.The measured phase noise is-122.22 dBc/Hz at a 1 MHz offset from the carrier.The maximum power consumption of the core part is 6.16 mW at a 1.8 V power supply. 展开更多
关键词 CMOS voltage-controlled oscillator switched capacitor bank MOS varactors WIDEBAND low phase noise DRM/DAB frequency synthesizer
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A super-high resolution frequency standard measuring approach based on phase coincidence characteristics between signals 被引量:13
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作者 李智奇 周渭 +1 位作者 陈发喜 刘晨光 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期287-290,共4页
A method for super high resolution comparison measurement is proposed in this paper with a comparison between the frequency standards of different nominal frequencies, which is based on phase coincidence detection of ... A method for super high resolution comparison measurement is proposed in this paper with a comparison between the frequency standards of different nominal frequencies, which is based on phase coincidence detection of the two compared signals. It utilizes the regular phase shift characteristics between the signals. The resolution of the measurement approach can reach 10^-13/s at 5 MHz, and the self-calibration resolution can achieve 10^-14/s in the comparison between 10 MHz and 100 MHz, or even can reach 10^-15/s in the comparison between 10 MHz and 190 MHz. This method implies significant progress in the development of the high precision frequency standard comparison technology. 展开更多
关键词 frequency measurement RESOLUTION phase coincidence equivalent phase comparison frequency
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Adaptive compensating method for Doppler frequency shift using LMS and phase estimation 被引量:7
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作者 Jing Qingfeng Guo Qing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期913-919,共7页
The novel compensating method directly demodulates the signals without the carrier recovery processes, in which the carrier with original modulation frequency is used as the local coherent carrier. In this way, the ph... The novel compensating method directly demodulates the signals without the carrier recovery processes, in which the carrier with original modulation frequency is used as the local coherent carrier. In this way, the phase offsets due to frequency shift are linear. Based on this premise, the compensation processes are: firstly, the phase offsets between the baseband neighbor-symbols after clock recovery is unbiasedly estimated among the reference symbols; then, the receiving signals symbols are adjusted by the phase estimation value; finally, the phase offsets after adjusting are compensated by the least mean squares (LMS) algorithm. In order to express the compensation processes and ability clearly, the quadrature phase shift keying (QPSK) modulation signals are regarded as examples for Matlab simulation. BER simulations are carried out using the Monte-Carlo method. The learning curves are obtained to study the algorithm's convergence ability. The constellation figures are also simulated to observe the compensation results directly. 展开更多
关键词 Doppler frequency shift least mean square minimum phase shift keying unbiased estimation Matlab simulation.
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Discrimination of Motor Imagery Patterns by Electroencephalogram Phase Synchronization Combined With Frequency Band Energy 被引量:4
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作者 Chuanwei Liu Yunfa Fu +3 位作者 Jun Yang Xin Xiong Huiwen Sun Zhengtao Yu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第3期551-557,共7页
Central nerve signal evoked by thoughts can be directly used to control a robot or prosthetic devices without the involvement of the peripheral nerve and muscles.This is a new strategy of human-computer interaction.A ... Central nerve signal evoked by thoughts can be directly used to control a robot or prosthetic devices without the involvement of the peripheral nerve and muscles.This is a new strategy of human-computer interaction.A method of electroencephalogram(EEG) phase synchronization combined with band energy was proposed to construct a feature vector for pattern recognition of brain-computer interaction based on EEG induced by motor imagery in this paper,rhythm and beta rhythm were first extracted from EEG by band pass filter and then the frequency band energy was calculated by the sliding time window;the instantaneous phase values were obtained using Hilbert transform and then the phase synchronization feature was calculated by the phase locking value(PLV) and the best time interval for extracting the phase synchronization feature was searched by the distribution of the PLV value in the time domain.Finally,discrimination of motor imagery patterns was performed by the support vector machine(SVM).The results showed that the phase synchronization feature more effective in4s-7s and the correct classification rate was 91.4%.Compared with the results achieved by a single EEG feature related to motor imagery,the correct classification rate was improved by 3.5 and4.3 percentage points by combining phase synchronization with band energy.These indicate that the proposed method is effective and it is expected that the study provides a way to improve the performance of the online real-time brain-computer interaction control system based on EEG related to motor imagery. 展开更多
关键词 Brain-computer interaction(BCI) electroencephalogram(EEG) frequency band energy motor imagery phase synchronization
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Design of 0.5V low-voltage phase and frequency detector for frequency synthesizer in wireless sensor networks
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作者 王利丹 李智群 李伟 《Journal of Southeast University(English Edition)》 EI CAS 2011年第1期8-12,共5页
Based on 0.13μm complementary metal-oxide-semiconductor(CMOS) technology,a phase and frequency detector(PFD) is designed with a low supply voltage of 0.5V for frequency synthesizers used in wireless sensor netwo... Based on 0.13μm complementary metal-oxide-semiconductor(CMOS) technology,a phase and frequency detector(PFD) is designed with a low supply voltage of 0.5V for frequency synthesizers used in wireless sensor networks(WSNs).The PFD can compare the frequency and phase differences of input signals and deliver a signal voltage proportional to the difference.Low threshold transistors are used in the circuits since a power supply of 0.5V is adopted.A pulse latched structure is also used in the circuits in order to increase both the detection range of phase errors and the maximum operation frequency.In experiments,a phase error with a range from-358° to 358° is measured when the input signal frequency is 2MHz.The PFD has a faster acquisition speed compared with conventional digital PFDs.When the input signals are at a frequency of 2MHz with zero phase error,the circuits have a power consumption of 1.8[KG*8]μW,and the maximum operation frequency is 1.25GHz. 展开更多
关键词 phase and frequency detector(PFD) low threshold transistor pulse latch
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Microwave frequency transfer over a 112-km urban fiber link based on electronic phase compensation 被引量:5
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作者 Wen-Xiang Xue Wen-Yu Zhao +4 位作者 Hong-Lei Quan Cui-Chen Zhao Yan Xing Hai-Feng Jiang Shou-Gang Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第6期207-211,共5页
We demonstrate the transmission of a microwave frequency signal at 10 GHz over a 112-km urban fiber link based on a novel simple-architecture electronic phase compensation system.The key element of the system is the l... We demonstrate the transmission of a microwave frequency signal at 10 GHz over a 112-km urban fiber link based on a novel simple-architecture electronic phase compensation system.The key element of the system is the low noise frequency divider by 4 to differentiate the frequency of the forward signal from that of the backward one,thus suppressing the effect of Brillouin backscattering and parasitic reflection along the link.In terms of overlapping Allan deviation,the frequency transfer instability of 4.2×10-15 at 1-s integration time and 1.6×10-18 at one-day integration time was achieved.In addition,its sensitivity to the polarization mode dispersion in fiber is analyzed by comparing the results with and without laser polarization scrambling.Generally,with simplicity and robustness,the system can offer great potentials in constructing cascaded frequency transfer system and facilitate the building of fiber-based microwave transfer network. 展开更多
关键词 microwave frequency transfer phase compensation polarization mode dispersion
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Cognitive anti-jamming receiver under phase noise in high frequency bands 被引量:2
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作者 FANG Zheng LI Haitao QIAN Yiming 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第1期31-38,共8页
This paper investigates the jamming sensing performance of the simultaneous transmit and receive based cognitive anti-jamming(SCAJ) receiver impaired by phase noise in local oscillators(LO) over fading channels. First... This paper investigates the jamming sensing performance of the simultaneous transmit and receive based cognitive anti-jamming(SCAJ) receiver impaired by phase noise in local oscillators(LO) over fading channels. Firstly, energy detection(ED)based on the jamming to noise ratio(JNR) of the high frequency bands SCAJ receiver with phase noise under different channels is analyzed. Then, the probabilities of jamming detection and false alarm in closed-form for the SCAJ receiver are derived. Finally,the modified Bayesian Cramer-Rao bound(BCRB) of jamming sensing for the SCAJ receiver is presented. Simulation results show that the performance degradation of the SCAJ system due to phase noise is more severe than that due to the channel fading in the circumstances where the signal bandwidth(BW) is kept a constant. Moreover, the signal BW has an effect on the phase noise in LO, and the jamming detection probability of the wideband SCAJ receiver with lower phase noise outperforms that of the narrowband receiver using the same center frequency. Furthermore,an accurate phase noise estimation and compensation scheme can improve the jamming detection capability of the SCAJ receiver in high frequency bands and approach to the upper bound. 展开更多
关键词 high frequency band simultaneous transmit and receive phase noise cognitive anti-jamming
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Joint Estimation of Carrier Frequency and Phase Offset Based on Pilot Symbols in Quasi-Constant Envelope OFDM Satellite Systems 被引量:5
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作者 Cheng Wang Gaofeng Cui +1 位作者 Weidong Wang Yinghai Zhang 《China Communications》 SCIE CSCD 2017年第7期184-194,共11页
Spectral efficiency and energy efficiency are two important performance indicators of satellite systems. The Quasi-Constant Envelope Orthogonal Frequency Division Multiplexing(QCE-OFDM) technique can achieve both high... Spectral efficiency and energy efficiency are two important performance indicators of satellite systems. The Quasi-Constant Envelope Orthogonal Frequency Division Multiplexing(QCE-OFDM) technique can achieve both high spectral efficiency and low peak-to-average power ratio(PAPR). Therefore, the QCE-OFDM technique is considered as a promising candidate multi-carrier technique for satellite systems. However, the Doppler effect will cause the carrier frequency offset(CFO), and the non-ideal oscillator will cause the carrier phase offset(CPO) in satellite systems. The CFO and CPO will further result in the bit-error-rate(BER) performance degradation. Hence, it is important to estimate and compensate the CFO and CPO. This paper analyzes the effects of both CFO and CPO in QCE-OFDM satellite systems. Furthermore, we propose a joint CFO and CPO estimation method based on the pilot symbols in the frequency domain. In addition, the optimal pilot symbol structure with different pilot overheads is designed according to the minimum Cramer-Rao bound(CRB) criterion. Simulation results show that the estimation accuracy of the proposed method is close to the CRB. 展开更多
关键词 carrier frequency offset carrier phase offset pilot symbol structure quasi-constant envelope OFDM satellite systems.
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An improved frequency shift method for ATI-SAR flat earth phase removal 被引量:1
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作者 Yubin Zhang Jie Zhang +1 位作者 Junmin Meng Chenqing Fan 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2019年第8期94-100,共7页
An improved frequency shift method is proposed to remove the flat earth phase in ATI-SAR ocean surface motion detection in this study. First, two conventional flat earth effect removal methods(i.e., the frequency shif... An improved frequency shift method is proposed to remove the flat earth phase in ATI-SAR ocean surface motion detection in this study. First, two conventional flat earth effect removal methods(i.e., the frequency shift method and the orbital parameter method) are introduced and compared. Then, two improvements to frequency shift method are suggested. In the first improvement, the phase diagram is divided into several sub-blocks to calculate the phase fringe frequency. In the second improvement, a function between the phase of land regions and position is fitted to correct the residual flat earth phase based on the phase of the land regions that tend toward zero in an along-track interferogram. It is found that the improved frequency shift method is greatly improved;and it agrees well with the orbital parameter method, and achieves similar accuracy. 展开更多
关键词 FLAT EARTH phase ATI-SAR frequency SHIFT ORBITAL PARAMETER
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Reduced Dynamic Orbit Determination Using Differenced Phase in Adjacent Epochs for Spaceborne Dual-frequency GPS 被引量:4
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作者 GU Defeng YI Dongyun 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2011年第6期789-796,共8页
We study on reduced dynamic orbit determination using differenced phase in adjacent epochs for spacebome dual-frequency GPS. This method not only overcomes the shortcomings that the epoch-difference kinematic method c... We study on reduced dynamic orbit determination using differenced phase in adjacent epochs for spacebome dual-frequency GPS. This method not only overcomes the shortcomings that the epoch-difference kinematic method cannot be used when observation geometry is poor or observations are insufficient, but also avoids solving the ambiguity in the zero-difference reduced dynamic method. As the epoch-difference method is not sensitive to the impact of phase cycle slips, it can lower the difficulty of slip detection in phase observation preprocessing. In the solution strategies, we solve the high-dimensional matrix computation problems by decomposing the long observation arc into a number of short arcs. By gravity recovery and climate experiment (GRACE) satellite orbit determination and compared with GeoForschungsZentrum (GFZ) post science orbit, for epoch-difference reduced dynamic method, the root mean squares (RMSs) of radial, transverse and normal components are 1.92 cm, 3.83 cm and 3.80 cm, and the RMS in three dimensions is 5.76 cm. The solution's accuracy is comparable to the zero-difference reduced dynamic method. 展开更多
关键词 dual-frequency GPS phase difference in adjacent epochs SATELLITE reduced dynamic orbit determination
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Effect of vibration frequency on primary phase and properties of grey cast iron fabricated by lost foam casting 被引量:9
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作者 Bo-tao Xiao Zi-tian Fan +2 位作者 Wen-ming Jiang Jun-huai Xiang Xue-fang Yan 《China Foundry》 SCIE 2020年第1期1-7,共7页
The properties of gray cast iron(GCI)are affected by density of matrix,size of flake graphite and primary austenite.In this paper,the Y-type specimen of GCI was prepared by lost foam casting(LFC)with and without vibra... The properties of gray cast iron(GCI)are affected by density of matrix,size of flake graphite and primary austenite.In this paper,the Y-type specimen of GCI was prepared by lost foam casting(LFC)with and without vibration,and the influence of vibration frequency on the density of matrix,size of primary phase,and properties of the GCI was studied.The results show that the length of the flake graphite and the size of the primary austenite in GCI firstly decrease and then increase with the increase of the vibration frequency.With a vibration frequency of 35 Hz,the length of the flake graphite is the shortest,the primary austenite is the finest and the density of the matrix is the highest.In addition,the tensile strength,elongation and hardness of the GCI firstly increase and then decrease with the increase of the vibration frequency,due to the refinement of the primary phase and the increase of the matrix density.In order to analyze the refinement mechanism of the primary phase of the GCI fabricated by the LFC with vibration,the solidification temperature fields of the GCI fabricated by the LFC with the vibration frequency of 0 and 35 Hz were measured.The results show that the vibration reduces the eutectic point of the GCI and increases the supercooling degree during the eutectic transformation.As a result,the length of the flake graphite and the size of the primary austenite in GCI fabricated by LFC with the vibration frequency of 35 Hz decrease. 展开更多
关键词 vibration frequency lost foam casting grey cast iron flake graphite PROPERTIES
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Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling 被引量:1
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作者 Hossein Gholizade-Narm Asad Azemi Morteza Khademi 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第7期79-83,共5页
In this paper, phase synchronization and the frequency of two synchronized van der Pol oscillators with delay coupling are studied. The dynamics of such a system are obtained using the describing function method, and ... In this paper, phase synchronization and the frequency of two synchronized van der Pol oscillators with delay coupling are studied. The dynamics of such a system are obtained using the describing function method, and the necessary conditions for phase synchronization are also achieved. Finding the vicinity of the synchronization frequency is the major advantage of the describing function method over other traditional methods. The equations obtained based on this method justify the phenomenon of the synchronization of coupled oscillators on a frequency either higher, between, or lower than the highest, in between, or lowest natural frequency of the aggregate oscillators. Several numerical examples simulate the different cases versus the various synchronization frequency delays. 展开更多
关键词 van der Pol oscillator delay coupling phase synchronization synchronization frequency
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DEFORMATION MEASUREMENT USING DUAL-FREQUENCY PROJECTION GRATING PHASE-SHIFT PROFILOMETRY 被引量:2
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作者 Yanming Chen Yuming He Eryi Hu Hongmao Zhu 《Acta Mechanica Solida Sinica》 SCIE EI 2008年第2期110-115,共6页
2π phase ambiguity problem is very important in phase measurement when a deformed object has a large out of plane displacement. The dual-frequency projection grating phaseshifting profilometry (PSP) can be used to ... 2π phase ambiguity problem is very important in phase measurement when a deformed object has a large out of plane displacement. The dual-frequency projection grating phaseshifting profilometry (PSP) can be used to solve such an issue. In the measurement, two properchosen frequency gratings are utilized to synthesize an equivalent wavelength grating which ensures the computed phase in a principal phase range. Thus, the error caused by the phase unwrapping process with the conventional phase reconstruct algorithm can be eliminated. Finally, experimental result of a specimen with large plastic deformation is given to prove that the proposed method is effective to handle the phase discontinuity. 展开更多
关键词 dual-frequency phase-shift profilometry projection grating phase unwrapping DEFORMATION
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Effect of normalized plasma frequency on electron phase-space orbits in a free-electron laser 被引量:2
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作者 吉驭嫔 王时建 +5 位作者 徐竟跃 徐勇根 刘晓旭 卢宏 黄小莉 张世昌 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期242-246,共5页
Irregular phase-space orbits of the electrons are harmful to the electron-beam transport quality and hence deteriorate the performance of a free-electron laser (FEL). In previous literature, it was demonstrated that... Irregular phase-space orbits of the electrons are harmful to the electron-beam transport quality and hence deteriorate the performance of a free-electron laser (FEL). In previous literature, it was demonstrated that the irregularity of the electron phase-space orbits could be caused in several ways, such as varying the wiggler amplitude and inducing sidebands. Based on a Hamiltonian model with a set of self-consistent differential equations, it is shown in this paper that the electron- beam normalized plasma frequency functions not only couple the electron motion with the FEL wave, which results in the evolution of the FEL wave field and a possible power saturation at a large beam current, but also cause the irregularity of the electron phase-space orbits when the normalized plasma frequency has a sufficiently large value, even if the initial energy of the electron is equal to the synchronous energy or the FEL wave does not reach power saturation. 展开更多
关键词 free-electron laser electron phase-space orbit normalized plasma frequency IRREGULARITY
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An Yb-fiber frequency comb phase-locked to microwave standard and optical reference 被引量:2
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作者 Hui-Bo Wang Hai-Nian Han +3 位作者 Zi-Yue Zhang Xiao-Dong Shao Jiang-Feng Zhu Zhi-Yi Wei 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第3期142-147,共6页
We present a fully stabilized Yb-fiber frequency comb locked to a microwave standard and an optical reference separately. The carrier-envelope offset frequency is generated by a standard f–2f interferometer with 40 d... We present a fully stabilized Yb-fiber frequency comb locked to a microwave standard and an optical reference separately. The carrier-envelope offset frequency is generated by a standard f–2f interferometer with 40 dB signal-tonoise ratio. The offset frequency and the repetition rate are stabilized simultaneously to the radio frequency reference for more than 30 hours, and the fractional Allan deviation of the comb is the same as the microwave standard of 10^(-12) at 1 s.Alternatively, the comb is locked to an ultra-stable optical reference at 972 nm using an intracavity electro-optic modulator,exhibiting a residual integrated phase noise of 458 mrad(1 Hz–10 MHz) and an in-loop tracking stability of 1.77× 10^(-18) at 1 s, which is significantly raised by six orders comparing to the case locked to the microwave frequency standard. 展开更多
关键词 Yb-fiber frequency COMB LOW-NOISE OPTICAL REFERENCE
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OSCILLATION FREQUENCY THEORY OF A PIEZOELECTRIC SENSOR INLIQUID PHASE WITH TWO SEPARATED-ELECTRODES 被引量:1
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作者 Da Zhong SHEN Ze Chang LIU +1 位作者 Qing KANG Jind Tian HU(Chemistry College, Shandong University, Jinan, 250100)(Chemical Engineering Department, Jinan Branch of Shandong Institute of Mining and Technology, Jinan, 280031) 《Chinese Chemical Letters》 SCIE CAS CSCD 1996年第2期169-172,共4页
In this paper, an oscillation frequency equation for a pizoelectric sensor with two separated-electrodes is theoretically derived and experimentally verified. The correlatione of the oscillation frequency and the liqu... In this paper, an oscillation frequency equation for a pizoelectric sensor with two separated-electrodes is theoretically derived and experimentally verified. The correlatione of the oscillation frequency and the liquid properties are investigated. 展开更多
关键词 SENSOR frequency INLIQUID OF OSCILLATION phase PIEZOELECTRIC ELECTRODES SEPARATED THEORY
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