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Unidirectional imaging with partially coherent light
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作者 Guangdong Ma Che-Yung Shen +8 位作者 Jingxi Li Luzhe Huang Çagatay Isıl Fazil Onuralp Ardic Xilin Yang Yuhang Li Yuntian Wang Md Sadman Sakib Rahman Aydogan Ozcan 《Advanced Photonics Nexus》 2024年第6期67-79,共13页
Unidirectional imagers form images of input objects only in one direction,e.g.,from field-of-view(FOV)A to FOV B,while blocking the image formation in the reverse direction,from FOV B to FOV A.Here,we report unidirect... Unidirectional imagers form images of input objects only in one direction,e.g.,from field-of-view(FOV)A to FOV B,while blocking the image formation in the reverse direction,from FOV B to FOV A.Here,we report unidirectional imaging under spatially partially coherent light and demonstrate high-quality imaging only in the forward direction(A→B)with high power efficiency while distorting the image formation in the backward direction(B→A)along with low power efficiency.Our reciprocal design features a set of spatially engineered linear diffractive layers that are statistically optimized for partially coherent illumination with a given phase correlation length.Our analyses reveal that when illuminated by a partially coherent beam with a correlation length of≥∼1.5λ,whereλis the wavelength of light,diffractive unidirectional imagers achieve robust performance,exhibiting asymmetric imaging performance between the forward and backward directions—as desired.A partially coherent unidirectional imager designed with a smaller correlation length of<1.5λstill supports unidirectional image transmission but with a reduced figure of merit.These partially coherent diffractive unidirectional imagers are compact(axially spanning<75λ),polarization-independent,and compatible with various types of illumination sources,making them well-suited for applications in asymmetric visual information processing and communication. 展开更多
关键词 partially coherent light diffractive neural networks machine learning optical processors unidirectional imagers
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The influence of nonparaxiality on the spectral behavior in Young's experiment illuminated by partially coherent light 被引量:1
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作者 赵光普 吕百达 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第8期3466-3472,共7页
Starting from the Rayleigh-Sommerfeld diffraction integral, this paper studies the spectral behavior in Young's experiment illuminated by nonparaxial partially coherent light and compares with the paraxial case, wher... Starting from the Rayleigh-Sommerfeld diffraction integral, this paper studies the spectral behavior in Young's experiment illuminated by nonparaxial partially coherent light and compares with the paraxial case, where the influence of nonparaxiality of partially coherent light on the spectral shifts and spectral switches is stressed. It is shown that there is a spectral shift in the nonparaxial case relative to the paraxial one and the critical position changes, at which the spectral switch occurs. The ratio of the waist width to the central wavelength ω0/λ0 and relative spatial correlation length △ affect the spectral difference. The smaller ω0/λ0 is, the larger the difference between the nonparaxial and paraxial results appears. The effect of relative spatial correlation length △ is relatively small. 展开更多
关键词 nonparaxial beams Young's experiment spectral shift and spectral switch partially coherent light
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MEASURING DISPLACEMENT FIELDS OF CURVED SURFACE BY MOIRE INTERFEROMETRY OF PARTIAL COHERENT LIGHT
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作者 钟国成 王兵 +1 位作者 蒋小林 戴福隆 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1993年第2期177-184,共8页
This paper presents a method to measure the in-plane displacement fields of curved surface by moire interferometry of partial coherent light.The method has the following advantages:simple optical system,no requirement... This paper presents a method to measure the in-plane displacement fields of curved surface by moire interferometry of partial coherent light.The method has the following advantages:simple optical system,no requirement on vibration isolation,high sensitivity,large measuring range,high contrast of inter ference fringes and availability to in-situ structural testing.The present paper also gives theoretical analysis of the method and the formulas of light intensity and displacement field,and introduces a replication technique to form a high frequency reflectance grating on the curved surface.The experiments achieved the measurement of the surface displacement field of a cylindrical shell—the simultaneous circumferential,axial and 45° displacement fields.The torsional test data for surface displacement of a circular bar agree well with the theoretical result. 展开更多
关键词 Moire interferometry partial coherent light circumferential displacement axial displacement
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Quantum field entropy of the system with interaction between moving Bell-state atoms and coherent light field
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作者 张彩花 萨楚尔夫 格日乐 《Optoelectronics Letters》 EI 2011年第6期475-477,共3页
The field entropy of the system with two moving atoms interacting with the coherent state is investigated by means of the full quantum theory. Under the different initial states with two atoms, the influences of the l... The field entropy of the system with two moving atoms interacting with the coherent state is investigated by means of the full quantum theory. Under the different initial states with two atoms, the influences of the light field intensity and the atomic motion on the field entropy are discussed. The results indicate that the motion of the atoms leads to strict periodicity in the field entropy evolution. When the two atoms are in the Bell state |β11〉 initially, the system is in a completely disentangled state. For the atoms initially at other Bell states, the field periodically entangles with the atoms. 展开更多
关键词 ATOMS coherent light ENTROPY Quantum computers
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The Linac Coherent Light Source II photoinjector laser infrastructure
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作者 Hao Zhang Sasha Gilevich +23 位作者 Alan Miahnahri Shawn Christopher Alverson Axel Brachmann Joseph Duris Paris Franz Alan Fry Jack Hirschman Kirk Larsen Randy Lemons Siqi Li Brittany Lu Agostino Marinelli Mikael Martinez Justin May Erel Milshtein Krishna Murari Nicole Neveu Joseph Robinson John Schmerge Linshan Sun Theodore Vecchione Chengcheng Xu Feng Zhou Sergio Carbajo 《High Power Laser Science and Engineering》 SCIE CAS CSCD 2024年第4期113-129,共17页
This paper presents a comprehensive technical overview of the Linac Coherent Light Source II(LCLS-II)photoinjector laser system,its first and foremost component.The LCLS-II photoinjector laser system serves as an upgr... This paper presents a comprehensive technical overview of the Linac Coherent Light Source II(LCLS-II)photoinjector laser system,its first and foremost component.The LCLS-II photoinjector laser system serves as an upgrade to the original LCLS at SLAC National Accelerator Laboratory.This advanced laser system generates high-quality laser beams for the LCLS-II,contributing to the instrument's unprecedented brightness,precision and flexibility.Our discussion extends to the various subsystems that comprise the photoinjector,including the photocathode laser,laser heater and beam transport systems.Lastly,we draw attention to the ongoing research and development infrastructure underway to enhance the functionality and efficiency of the LCLS-II,and similar X-ray free-electron laser facilities around the world,thereby contributing to the future of laser technology and its applications. 展开更多
关键词 high-intensity lasers high-power lasers Linac coherent light Source II photoinjector temporal and spatial shaping ultrafast X-ray science X-ray free-electron lasers
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Three-channel robust optical encryption via engineering coherence Stokes vector of partially coherent light
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作者 Yonglei Liu Zhen Dong +4 位作者 Yimeng Zhu Haiyun Wang Fei Wang Yahong Chen Yangjian Cai 《PhotoniX》 2024年第1期587-604,共18页
Optical encryption strategies utilizing fully coherent light have been widely explored but often face challenges such as speckle noise and beam instabilities.In this work,we introduce a novel protocol for multi-channe... Optical encryption strategies utilizing fully coherent light have been widely explored but often face challenges such as speckle noise and beam instabilities.In this work,we introduce a novel protocol for multi-channel optical information encoding and encryption using vectorial spatial coherence engineering of a partially coherent light beam.By characterizing the beam’s spatial coherence structure with a 2×2 coherence matrix,we demonstrate independent control over the three components of the coherence Stokes vector.This allows for three-channel optical information encoding and encryption,with applications in color image representation.Unlike existing methods based on fully coherent light modulations,our approach utilizes a two-point dependent coherence Stokes vector,proving resilient to random noise in experimental scenarios.Our findings provide a robust foundation for higher-dimensional optical encoding and encryption,addressing limitations associated with partially coherent light in complex environments. 展开更多
关键词 Optical encryption Partially coherent light Spatial coherence engineering Coherence Stokes vector Color image encoding
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Spectral anomalies of polychromatic, spatially coherent light diffracted by an annular aperture in the far field 被引量:5
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作者 胡现代 蒲继雄 《Chinese Optics Letters》 SCIE EI CAS CSCD 2005年第7期418-421,共4页
The spectral behavior of polychromatic spatially fully coherent light diffracted by an annular aperture in the far field is studied. It is shown that the spectrum in the far field is generally different from that at t... The spectral behavior of polychromatic spatially fully coherent light diffracted by an annular aperture in the far field is studied. It is shown that the spectrum in the far field is generally different from that at the aperture, i.e., the spectrum in the far field is proportional to the spectrum at the aperture and a spectral modifier, which depends on the central obstruction ratio ε and diffraction angle θ. Detailed numerical calculation results indicate that significant spectral changes take place in the vicinity of zeros of the Airy pattern. It is found that at the critical diffraction angle θc, the spectrum is split into two lines, while at a diffraction angle a little smaller than θc, the spectrum is red-shifted, and at a diffraction angle a little larger than θc, the spectrum is blue-shifted. The influence of the central obstruction ratio on the spectral anomalies is presented. 展开更多
关键词 coherent light Diffractive optics Spectrum analysis
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Event-by-Event Simulation of the Hanbury Brown-Twiss Experiment with Coherent Light
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作者 F.Jin H.De Raedt K.Michielsen 《Communications in Computational Physics》 SCIE 2010年第4期813-830,共18页
We present a computer simulation model for the Hanbury Brown-Twiss experiment that is entirely particle-based and reproduces the results of wave theory. Themodel is solely based on experimental facts, satisfies Einst... We present a computer simulation model for the Hanbury Brown-Twiss experiment that is entirely particle-based and reproduces the results of wave theory. Themodel is solely based on experimental facts, satisfies Einstein’s criterion of local causality and does not require knowledge of the solution of a wave equation. The simulationmodel is fully consistent with earlier work and provides another demonstration thatit is possible to give a particle-only description of wave phenomena, rendering theconcept of wave-particle duality superfluous. 展开更多
关键词 Computational techniques Hanbury Brown-Twiss effect light coherence light interference quantum theory
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Full-dimensional complex coherence properties tomography for multi-cipher information security
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作者 Yonglei Liu Siting Dai +4 位作者 Yimeng Zhu Yahong Chen Peipei Peng Yangjian Cai Fei Wang 《Opto-Electronic Advances》 2025年第8期54-66,共13页
Optical coherence is a fundamental property of light,playing a key role in understanding interference,propagation,and light-matter interactions for both classical and quantum light.Measuring the coherence properties o... Optical coherence is a fundamental property of light,playing a key role in understanding interference,propagation,and light-matter interactions for both classical and quantum light.Measuring the coherence properties of an optical field is crucial for a wide range of applications.However,despite many proposed measurement schemes,significant challenges still remain.In this work,we present a protocol to measure the full-dimensional coherence properties of a partially coherent beam.The method is based on tomographing the complex coherent modes of the partially coherent field within its coherence time.Once the complex coherent modes are reconstructed,all coherence properties including field correlation and its higher-order correlations(e.g.,intensity correlation)can be recovered for beams that are either spatially uniformly or non-uniformly correlated.We perform a proof-of-principle experiment to measure the complex field correlation and intensity correlation of a structured partially coherent beam synthesized by random modes.Additionally,we discuss the application of full-dimensional complex coherence function tomography in coherence-based multi-cipher information security.The robustness of our system in complex environments is also evaluated. 展开更多
关键词 partially coherent light complex coherence measurement optical encryption structured light
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Nanoscale thickness Octave-spanning coherent supercontinuum light generation
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作者 Susobhan Das Md Gius Uddin +6 位作者 Diao Li Yadong Wang Yunyun Dai Juha Toivonen Hao Hong Kaihui Liu Zhipei Sun 《Light(Science & Applications)》 2025年第2期366-373,共8页
Coherent broadband light generation has attracted massive attention due to its numerous applications ranging from metrology,sensing,and imaging to communication.In general,spectral broadening is realized via third-ord... Coherent broadband light generation has attracted massive attention due to its numerous applications ranging from metrology,sensing,and imaging to communication.In general,spectral broadening is realized via third-order and higher-order nonlinear optical processes(e.g.,self-phase modulation,Raman transition,four-wave mixing,multiwave mixing),which are typically weak and thus require a long interaction length and the phase matching condition to enhance the efficient nonlinear light-matter interaction for broad-spectrum generation.Here,for the first time,we report octave-spanning coherent light generation at the nanometer scale enabled by a phase-matching-free frequency down-conversion process.Up to octave-spanning coherent light generation with a-4odB spectral width covering from~565 to 1906 nm is demonstrated in discreate manner via difference-frequency generation,a second-order nonlinear process in galium selenide and niobium oxide diodide crystals at the 100-nanometer scale.Compared with conventional coherent broadband light sources based on bulk materials,our demonstration is~5 orders of magnitude thinner and requires~3 orders of magnitude lower excitation power.Our results open a new way to possibly create compact,versatile and integrated ultra-broadband light sources. 展开更多
关键词 frequency down conversion coherent nonlinear optics nanoscale light generation coherent broadband light generation octave spanning SUPERCONTINUUM
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At wavelength coherent scatterometry microscope using high-order harmonics for EUV mask inspection 被引量:4
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作者 Yutaka Nagata Tetsuo Harada +2 位作者 Takeo Watanabe Hiroo Kinoshita Katsumi Midorikawa 《International Journal of Extreme Manufacturing》 2019年第3期1-12,共12页
In this review,we describe our research on the development of the 13.5 nm coherent microscope using high-order harmonics for the mask inspection of extreme ultraviolet(EUV)lithography.EUV lithography is a game-changin... In this review,we describe our research on the development of the 13.5 nm coherent microscope using high-order harmonics for the mask inspection of extreme ultraviolet(EUV)lithography.EUV lithography is a game-changing piece of technology for high-volume manufacturing of commercial semiconductors.Many top manufacturers apply EUV technology for fabricating the most critical layers of 7 nm chips.Fabrication and inspection of defect-free masks,however,still remain critical issues in EUV technology.Thus,in our pursuit for a resolution,we have developed the coherent EUV scatterometry microscope(CSM)system with a synchrotron radiation(SR)source to establish the actinic metrology,along with inspection algorithms.The intensity and phase images of patterned EUV masks were reconstructed from diffraction patterns using ptychography algorithms.To expedite the practical application of the CSM,we have also developed a standalone CSM,based on high-order harmonic generation,as an alternative to the SR-CSM.Since the application of a coherent 13.5 nm harmonic enabled the production of a high contrast diffraction pattern,diffraction patterns of sub-100 ns size defects in a 2D periodic pattern mask could be observed.Reconstruction of intensity and phase images from diffraction patterns were also performed for a periodic line-and-space structure,an aperiodic angle edge structure,as well as a cross pattern in an EUV mask. 展开更多
关键词 high-order harmonics coherent EUV light EUV lithography coherent EUV scatterometry microscope synchrotron radiation EUV mask inspection
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Coherent free-electron light sources 被引量:9
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作者 Dongdong Zhang Yushan Zeng +1 位作者 Ye Tian Ruxin Li 《Photonics Insights》 2023年第3期46-74,共29页
Free-electron light sources feature extraordinary luminosity,directionality,and coherence,which has enabled significant scientific progress in fields including physics,chemistry,and biology.The next generation of ligh... Free-electron light sources feature extraordinary luminosity,directionality,and coherence,which has enabled significant scientific progress in fields including physics,chemistry,and biology.The next generation of light sources has aimed at compact radiation sources driven by free electrons,with the advantages of reduction in both space and cost.With the rapid development of ultra-intense and ultrashort lasers,great effort has been devoted to the quest for compact free-electron lasers(FELs).This review focuses on the current efforts and advancements in the development of compact FELs,with a particular emphasis on two notable paths:the development of compact accelerators and the construction of micro undulators based on innovative materials/structures or optical modulation of electrons.In addition,the physical essence of inverse Compton scattering is discussed,which offers remarkable capability to develop an optical undulator with a spatial period that matches the optical wavelength.Recent scientific developments and future directions for miniaturized and integrated free-electron coherent light sources are also reviewed.In the future,the prospect of generating ultrashort electron pulses will provide fascinating means of producing superradiant radiation,promising high brilliance and coherence even on a micro scale using optical micro undulators. 展开更多
关键词 free-electron laser stimulated emission micro undulator coherent free-electron light source
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Spectral anomalies and spectral switches of partially coherent and polychromatic light diffracted at an aperture 被引量:1
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作者 Lü Baida1, 3 & PAN Liuzhan1, 2 1. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China 2. Department of Physics, Luoyang Normal College, Luoyang 471022, China 3. State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China Correspondence should be addressed to L Baida (email: badalu@scu.edu.cn) Received July 10, 2003 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2004年第1期24-35,共12页
Based on the propagation theory of partially coherent light in the space-frequency domain, the anomalous spectral behavior and spectral switches in the far field of partially coherent and polychromatic light diffracte... Based on the propagation theory of partially coherent light in the space-frequency domain, the anomalous spectral behavior and spectral switches in the far field of partially coherent and polychromatic light diffracted at an aperture are studied. It is shown that, as compared with spatially fully coherent and polychromatic light whose spectral anomalies are induced only by aperture diffraction, the spectral anomalies and spectral switches of partially coherent and polychromatic light depend on the aperture diffraction, spatial correlationβ and bandwidth of the original spectrum. Detailed numerical calculations are made to illustrate the behavior of spectral switches of partially coherent and polychromatic light, and the results for spatially fully coherent and polychromatic light are treated as a special case ofβ=1 and included in our theory. 展开更多
关键词 spectral anomaly spectral switch partially coherent and polychromatic light far field aperture diffraction
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Entropy of field interacting with two two-qubit atoms
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作者 Tang-Kun Liu Yu Tao +1 位作者 Chuan-Jia Shan and Ji-Bing Liu 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第9期180-183,共4页
We use quantum field entropy to measure the degree of entanglement for a coherent state light field interacting with two atoms that are initially in an arbitrary two-qubit state. The influence of different mean photon... We use quantum field entropy to measure the degree of entanglement for a coherent state light field interacting with two atoms that are initially in an arbitrary two-qubit state. The influence of different mean photon number of the coherent field on the entropy of the field is discussed in detail when the two atoms are initially in one superposition state of the Bell states. The results show that the mean photon number of the light field can regulate the quantum entanglement between the atoms and light field. 展开更多
关键词 quantum field entropy coherent state light field quantum entanglement
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Damage characteristics of fused silica under low-temporal coherence light
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作者 Chong Shan Lingbao Kong +8 位作者 Fujian Li Yong Cui Lailin Ji Quan Zheng Daxing Rao Ruijing He Xiaohui Zhao Yuanan Zhao Zhan Sui 《High Power Laser Science and Engineering》 SCIE CAS CSCD 2024年第3期77-83,共7页
The damage characteristics of fused silica were investigated under low-temporal coherence light(LTCL).It was found that the laser-induced damage threshold(LIDT)of fused silica for the LTCL was lower than that of the s... The damage characteristics of fused silica were investigated under low-temporal coherence light(LTCL).It was found that the laser-induced damage threshold(LIDT)of fused silica for the LTCL was lower than that of the single longitudinal mode pulse laser,and for the LTCLs,the LIDTs decrease with the increasing of laser bandwidth,which is not consistent with the temporal spike intensity.This is due to the nonlinear self-focusing effect and multi-pulse accumulation effect.The specific reasons were analyzed based on theoretical simulation and experimental study.This research work is helpful and of great significance for the construction of high-power LTCL devices. 展开更多
关键词 laser-induced damage threshold low-temporal coherence light nonlinear self-focusing effect temporal spike
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New proposal of modulation of amplitude-squeezed state of light by intensity variation of a low-frequency coherent message signal
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作者 Saibal Mitra Sourangshu Mukhopadhyay 《Chinese Optics Letters》 SCIE EI CAS CSCD 2015年第1期93-96,共4页
Squeezed state of light explores a new era in noiseless communication and data processing recently breaking the quantum limit of noise. We propose a new mechanism of modulating an amplitude-squeezed signal with the in... Squeezed state of light explores a new era in noiseless communication and data processing recently breaking the quantum limit of noise. We propose a new mechanism of modulating an amplitude-squeezed signal with the instantaneous intensity variation of a coherent signal. The modulating signal is a coherent light where the amplitude-squeezed light takes the role of a carrier signal. 展开更多
关键词 New proposal of modulation of amplitude-squeezed state of light by intensity variation of a low-frequency coherent message signal
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Spatial incoherence-driven optical reconstruction of holograms with observer shift-invariance
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作者 Yeo Ju Sohn Daeho Yang 《Light(Science & Applications)》 2025年第7期1942-1953,共12页
Coherence preserves phase consistency between wavefields,enabling accurate recording and reconstruction in holography.Although recent advances in computational optics have realized holographic data acquisition using i... Coherence preserves phase consistency between wavefields,enabling accurate recording and reconstruction in holography.Although recent advances in computational optics have realized holographic data acquisition using incoherent light by computationally retrieving information,optical reconstruction still requires partially coherent light sources.We demonstrate a hologram that reconstructs 3-dimensional distribution utilizing incoherence.By decomposing incoherent light into infinitesimal coherent lights and calculating their propagations,the incoherent sum is optimized to resemble the desired 3-dimensional scene,whereas individual coherent lights reconstruct completely different intensities.Incoherence provides high image quality and a wide eyebox,with the reconstructed intensity remaining shift-invariant under pupil displacement,allowing a 1000-fold expansion of the eyebox.We confirm the shift-invariance through a proof-of-concept experiment and demonstrate real-time synthesis of incoherent holograms using a neural network,significantly reducing computational costs.Our method could inspire new approaches in photonics using incoherent light and be practically adopted in holographic displays. 展开更多
关键词 spatial incoherence optical reconstruction computational optics computationally retrieving informationoptical reconstruction HOLOGRAMS coherence holographic data acquisition infinitesimal coherent lights
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Dynamic coherence control of random lasers and its effect on speckle and edge sharpness of images
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作者 Zhihao Li Jianghao Li +2 位作者 Yanyan Huo Yangjian Cai Yuan Wan 《Chinese Optics Letters》 2025年第6期84-91,共8页
In this Letter,we designed a random laser based on a nematic liquid crystal with titanium nitride nanoparticles,which has low spatial coherence,and its spatial coherence can be dynamically manipulated by the applied v... In this Letter,we designed a random laser based on a nematic liquid crystal with titanium nitride nanoparticles,which has low spatial coherence,and its spatial coherence can be dynamically manipulated by the applied voltage.In a scattering environment,the speckle effect can be effectively suppressed using the random laser as the light source,and the speckle degree is controlled by the applied voltage.Moreover,with the decrease of the spatial coherence of the random laser,the imaging edges become blurred.We provided a quantitative way to optimize the image quality between uniformity and edge sharpness while improving the signal-to-noise ratio. 展开更多
关键词 random laser imaging dynamic coherence control partially coherent light
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Optical coherent detection Brillouin distributed optical fiber sensor based on orthogonal polarization diversity reception 被引量:7
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作者 宋牟平 赵斌 章献民 《Chinese Optics Letters》 SCIE EI CAS CSCD 2005年第5期271-274,共4页
In Brillouin distributed optical fiber sensor, using optical coherent detection to detect Brillouin scattering optical signal is a good method, but there exists the polarization correlated detection problem. A novel d... In Brillouin distributed optical fiber sensor, using optical coherent detection to detect Brillouin scattering optical signal is a good method, but there exists the polarization correlated detection problem. A novel detecting scheme is presented and demonstrated experimentally, which adopts orthogonal polarization diversity reception to resolve the polarization correlated detection problem. A laser is used as pump and reference light sources, a microwave electric-optical modulator (EOM) is adopted to produce frequency shift reference light, a polarization controller is used to control the polarization of the reference light which is changed into two orthogonal polarization for two adjacent acquisition periods. The Brillouin scattering light is coherently detected with the reference light, and the Brillouin scattering optical signal is taken out based on Brillouin frequency shift. After electronic processing, better Brillouin distributed sensing signal is obtained. A 25-km Brillouin distributed optical fi 展开更多
关键词 Brillouin scattering coherent light Diversity reception Electrooptical devices light modulators light polarization
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Partially coherent vortex beams propagation in a turbulent atmosphere 被引量:6
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作者 张逸新 汤敏霞 陶纯堪 《Chinese Optics Letters》 SCIE EI CAS CSCD 2005年第10期559-561,共3页
Based on the Rytov approximation and the cross-spectral density approximation for the mutual coherence function of the partially coherent field, the propagation properties of the partially coherent beams with optical ... Based on the Rytov approximation and the cross-spectral density approximation for the mutual coherence function of the partially coherent field, the propagation properties of the partially coherent beams with optical vortices in turbulent atmosphere are discussed. The average intensity and the mutual coherence function of the partially coherent vortex beams propagation in weak turbulent atmosphere are obtained. It is shown that the vortex structure of the average cross-spectral density of partially coherent beams has the same helicoidally shape as that of the phase of the fully coherent Laguerre-Gauss beams in free space and the relative intensity of the beam is degraded by optical vortex. 展开更多
关键词 Approximation theory coherent light Density (optical) light propagation TURBULENCE Vortex flow
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