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Traveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay
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作者 Zhi Ling Linling Zhu 《Applied Mathematics》 2014年第17期2712-2718,共7页
In this paper, a reaction-diffusion equation with discrete time delay that describes the dynamics of the blood cell production is analyzed. The existence of the traveling wave front solutions is demonstrated using the... In this paper, a reaction-diffusion equation with discrete time delay that describes the dynamics of the blood cell production is analyzed. The existence of the traveling wave front solutions is demonstrated using the technique of upper and lower solutions and the associated monotone iteration. 展开更多
关键词 TRAVELING wavefronts HEMATOPOIESIS MODEL Time DELAY
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Wavefronts and Light Cones for Kerr Spacetimes
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作者 Francisco Frutos-Alfaro Frank Grave +1 位作者 Thomas Müller Daria Adis 《Journal of Modern Physics》 2012年第12期1882-1890,共9页
We investigate the light propagation by means of simulations of wavefronts and light cones for Kerr spacetimes. Simulations of this kind give us a new insight to better understand the light propagation in presence of ... We investigate the light propagation by means of simulations of wavefronts and light cones for Kerr spacetimes. Simulations of this kind give us a new insight to better understand the light propagation in presence of massive rotating black holes. A relevant result is that wavefronts are backscattered with winding around the black hole. To generate these visualizations, an interactive computer program with a graphical user interface, called JWFront, was written in Java. 展开更多
关键词 GENERAL RELATIVITY wavefronts Lightcones Simulations
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Global stability of bistable traveling wavefronts for a three-species Lotka-Volterra competition system with nonlocal dispersal
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作者 Yu-Cai Hao Guo-Bao Zhang 《International Journal of Biomathematics》 SCIE 2023年第5期87-110,共24页
This paper is devoted to the study of traveling wavefronts for a three-component Lotka-Volterra system with nonlocal dispersal.This system arises in the study of three-species competition model in which there is no co... This paper is devoted to the study of traveling wavefronts for a three-component Lotka-Volterra system with nonlocal dispersal.This system arises in the study of three-species competition model in which there is no competition between two of these three species.It has been shown that this system admits a bistable traveling wavefront.In this paper,we further investigate the stability of bistable traveling wavefronts.By constructing suitable super-and sub-solutions and using a dynamical system approach,we obtain the globally asymptotic stability of the bistable traveling wavefronts. 展开更多
关键词 Three-species competition system nonlocal dispersal bistable traveling wavefronts global stability UNIQUENESS
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Optical scanning endoscope via a single multimode optical fiber
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作者 Guangxing Wu Runze Zhu +2 位作者 Yanqing Lu Minghui Hong Fei Xu 《Opto-Electronic Science》 2024年第3期1-32,共32页
Optical endoscopy has become an essential diagnostic and therapeutic approach in modern biomedicine for directly observing organs and tissues deep inside the human body,enabling non-invasive,rapid diagnosis and treatm... Optical endoscopy has become an essential diagnostic and therapeutic approach in modern biomedicine for directly observing organs and tissues deep inside the human body,enabling non-invasive,rapid diagnosis and treatment.Optical fiber endoscopy is highly competitive among various endoscopic imaging techniques due to its high flexibility,compact structure,excellent resolution,and resistance to electromagnetic interference.Over the past decade,endoscopes based on a single multimode optical fiber(MMF)have attracted widespread research interest due to their potential to significantly reduce the footprint of optical fiber endoscopes and enhance imaging capabilities.In comparison with other imaging principles of MMF endoscopes,the scanning imaging method based on the wavefront shaping technique is highly developed and provides benefits including excellent imaging contrast,broad applicability to complex imaging scenarios,and good compatibility with various well-established scanning imaging modalities.In this review,various technical routes to achieve light focusing through MMF and procedures to conduct the scanning imaging of MMF endoscopes are introduced.The advancements in imaging performance enhancements,integrations of various imaging modalities with MMF scanning endoscopes,and applications are summarized.Challenges specific to this endoscopic imaging technology are analyzed,and potential remedies and avenues for future developments are discussed. 展开更多
关键词 multimode optical fiber ENDOSCOPE scanning imaging FOCUSING wavefront shaping
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Wavefronts of a Nonlocal State-dependent Time Delay Model
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作者 Rui Jun XIE Rong YUAN Zhi Hui YANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2020年第1期77-92,共16页
This paper is concerned with the travelling wavefronts of a nonlocal dispersal cooperation model with harvesting and state-dependent delay,which is assumed to be an increasing function of the population density with l... This paper is concerned with the travelling wavefronts of a nonlocal dispersal cooperation model with harvesting and state-dependent delay,which is assumed to be an increasing function of the population density with lower and upper bound.Especially,state-dependent delay is introduced into a nonlocal reaction-diffusion model.The conditions of Schauder's fixed point theorem are proved by constructing a reasonable set of functionsΓ(see Section 2)and a pair of upper-lower solutions,so the existence of traveling wavefronts is established.The present study is continuation of a previous work that highlights the Laplacian diffusion. 展开更多
关键词 NONLOCALITY state-dependent delay COOPERATION traveling wavefronts
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Simulation of Propagating Acoustic Wavefronts with Random Sound Speed
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作者 Sheri L.Martinelli 《Communications in Computational Physics》 SCIE 2014年第9期1081-1101,共21页
A method for simulating acoustic wavefronts propagating under random sound speed conditions is presented.The approach applies a level set method to solve the Eikonal equation of high frequency acoustics for surfaces o... A method for simulating acoustic wavefronts propagating under random sound speed conditions is presented.The approach applies a level set method to solve the Eikonal equation of high frequency acoustics for surfaces of constant phase,instead of tracing rays.The Lagrangian nature often makes full-field ray solutions difficult to reconstruct.The level set method captures multiple-valued solutions on a fixed grid.It is straightforward to represent other sources of uncertainty in the input data using this model,which has an advantage over Monte Carlo approaches in that it yields an expression for the solution as a function of random variables. 展开更多
关键词 Level set method wavefront methods high-frequency acoustic propagation stochastic collocation.
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Acousto-optic scanning spatial-switching multiphoton lithography
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作者 Binzhang Jiao Fayu Chen +6 位作者 Yuncheng Liu Xuhao Fan Shaoqun Zeng Qi Dong Leimin Deng Hui Gao Wei Xiong 《International Journal of Extreme Manufacturing》 SCIE EI CAS CSCD 2023年第3期597-606,共10页
Nano-3D printing has obtained widespread attention owing to its capacity to manufacture end-use components with nano-scale features in recent years.Multiphoton lithography(MPL)is one of the most promising 3D nanomanuf... Nano-3D printing has obtained widespread attention owing to its capacity to manufacture end-use components with nano-scale features in recent years.Multiphoton lithography(MPL)is one of the most promising 3D nanomanufacturing technologies,which has been widely used in manufacturing micro-optics,photonic crystals,microfluidics,meta-surface,and mechanical metamaterials.Despite of tremendous potential of MPL in laboratorial and industrial applications,simultaneous achievement of high throughput,high accuracy,high design freedom,and a broad range of material structuring capabilities remains a long-pending challenge.To address the issue,we propose an acousto-optic scanning with spatial-switching multispots(AOSS)method.Inertia-free acousto-optic scanning and nonlinear swept techniques have been developed for achieving ultrahigh-speed and aberration-free scanning.Moreover,a spatial optical switch concept has been implemented to significantly boost the lithography throughput while maintaining high resolution and high design freedom.An eight-foci AOSS system has demonstrated a record-high 3D printing rate of 7.6×10^(7)voxel s^(-1),which is nearly one order of magnitude higher than earlier scanning MPL,exhibiting its promise for future scalable 3D nanomanufacturing. 展开更多
关键词 3D nano-printing acousto-optic scanning aberration-free wavefront spatial-switching
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VLSI计算模型上二维DFT的Wavefront阵列
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作者 田泽荣 成礼智 《湖南师范大学自然科学学报》 EI CAS 北大核心 2002年第1期28-30,共3页
给出了基于VLSI计算模型的二维DFT(离散富里叶变换 )的阵列算法及其处理流程图 ,在此基础上 ,利用矩阵乘的Wavefront阵列 ,提出了二维DFT的Wavefront阵列计算结构 ,并与其Systolic阵列进行了比较 ,得出了二维DFT的Wavefront阵列优于其Sy... 给出了基于VLSI计算模型的二维DFT(离散富里叶变换 )的阵列算法及其处理流程图 ,在此基础上 ,利用矩阵乘的Wavefront阵列 ,提出了二维DFT的Wavefront阵列计算结构 ,并与其Systolic阵列进行了比较 ,得出了二维DFT的Wavefront阵列优于其Systolic阵列的结论 . 展开更多
关键词 二维DFT VLSI计算模型 Wavefront阵列 Systolic阵列 离散富里叶变换 矩阵乘 阵列结构
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一类空间非局部的时滞种群模型波前解的稳定性
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作者 刘凯凯 杨赟瑞 李孝武 《Chinese Quarterly Journal of Mathematics》 2022年第1期37-51,共15页
The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for la... The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weightedenergy method and comparison principle.The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions. 展开更多
关键词 Stability wavefronts Weighted-energy method
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利用U模变换增加并行粒度与改善数据访问局部性的方法 被引量:4
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作者 马国凯 王欣孃 +2 位作者 王鹏 臧斌宇 朱传琪 《计算机学报》 EI CSCD 北大核心 2004年第4期516-523,共8页
提出了一种利用循环变换增加循环并行粒度 ,改善循环数据访问局部性的方法 .该方法利用了给定二重循环的相关向量集的某些性质 ,将外层循环变量不同而内层循环变量相等的若干次迭代合并 ,成为折叠后迭代空间的一个结点 ,并且保持内层循... 提出了一种利用循环变换增加循环并行粒度 ,改善循环数据访问局部性的方法 .该方法利用了给定二重循环的相关向量集的某些性质 ,将外层循环变量不同而内层循环变量相等的若干次迭代合并 ,成为折叠后迭代空间的一个结点 ,并且保持内层循环的并行性不变 ,从而达到增加循环并行粒度的目的 .对于更普遍的情况 ,该文讨论了如何根据给定循环的循环向量集 ,确定一个U模变换对迭代空间进行变换 ,达到内层循环可并行和扩大循环粒度两个目的 .针对循环变换中数据访问局部性可能变差的问题 ,该文提出了对内层循环先合并 ,根据合并后的相关向量集变换迭代空间 ,以及折叠迭代空间的方法 .该文的方法是wavefront循环并行化方法的一种扩展 . 展开更多
关键词 循环变换 并行化编译 U模变换 迭代空间折叠 数据访问局部性 wavefront方法
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Clinical study of customized aspherical intraocular lens implants 被引量:8
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作者 Lie-Xi Jia Zhao-Hui Li 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2014年第5期816-821,共6页
AIM:To compare if there is an improvement in visual functions with age-related cataracts between patients receiving a aspherical intraocular lens(IOL) based on corneal wavefront aberration and patients randomly assign... AIM:To compare if there is an improvement in visual functions with age-related cataracts between patients receiving a aspherical intraocular lens(IOL) based on corneal wavefront aberration and patients randomly assigned lenses.METHODS:A total of 124 eyes of 124 patients with age-related cataracts were placed in experimental group and a group receiving randomly assigned(RA) lenses.The experimental group was undergone Pentacam corneal spherical aberration measurement before surgery; the targeted range for residual total spherical aberration after surgery was set to 0-0.3 μm. Patients with a corneal spherical aberration <0.3 μm were implanted with a zero-spherical aberration advanced optics(AO) aspherical IOL and patients with an aberration ≥0.3 μm received a Tecnis Z9003 aspherical lens in experimental group. RA patients were randomly implanted with an AO lens or a Tecnis Z9003 lens. Three months after surgery total spherical aberration, photopic/mesopic contrast sensitivities, photopic/mesopic with glare contrast sensitivities, and logMAR vision were measured.RESULTS:Statistical analysis on logMAR vision showed no significant difference between two groups(P =0.413). The post-surgical total spherical aberration was 0.126 ±0.097 μm and 0.152 ±0.151 μm in the experimental and RA groups, respectively(P =0.12). The mesopic contrast sensitivities at spatial frequencies of 6,12 and 18 c/d in the experimental group were significantly higher than of the RA group(P =0.00; P =0.04;P =0.02). The mesopic with glare contrast sensitivity in the experimental group at a spatial frequency of 18 c/d was also significantly higher vs the RA group(P =0.01).CONCLUSION:Pre-surgical corneal spherical aberration measurement in cataract patients followed bycustomized selection of aspherical IOL implants improved mesopic contrast sensitivities at high spatial frequencies, and thus is a superior strategy compared to the random selection of aspherical intraocular lens implants. 展开更多
关键词 INTRAOCULAR lens CATARACT extraction CORNEAL WAVEFRONT ABERRATION mesopic VISION night VISION
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Statistical virtual eye model based on wavefront aberration 被引量:2
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作者 Jie-Mei Wang, Bing-Jie Hu 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2012年第5期620-624,共5页
Wavefront aberration affects the quality of retinal image directly. This paper reviews the representation and reconstruction of wavefront aberration, as well as the construction of virtual eye model based on Zernike p... Wavefront aberration affects the quality of retinal image directly. This paper reviews the representation and reconstruction of wavefront aberration, as well as the construction of virtual eye model based on Zernike polynomial coefficients. In addition, the promising prospect of virtual eye model is emphasized. 展开更多
关键词 WAVEFRONT ABERRATION WAVEFRONT reconstruction VIRTUAL eye ZERNIKE POLYNOMIAL
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Shaping the Wavefront of Incident Light with a Strong Robustness Particle Swarm Optimization Algorithm 被引量:2
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作者 李必奇 张彬 +3 位作者 冯祺 程晓明 丁迎春 柳强 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第12期15-18,共4页
We demonstrate a modified particle swarm optimization(PSO) algorithm to effectively shape the incident light with strong robustness and short optimization time. The performance of the modified PSO algorithm and geneti... We demonstrate a modified particle swarm optimization(PSO) algorithm to effectively shape the incident light with strong robustness and short optimization time. The performance of the modified PSO algorithm and genetic algorithm(GA) is numerically simulated. Then, using a high speed digital micromirror device, we carry out light focusing experiments with the modified PSO algorithm and GA. The experimental results show that the modified PSO algorithm has greater robustness and faster convergence speed than GA. This modified PSO algorithm has great application prospects in optical focusing and imaging inside in vivo biological tissue, which possesses a complicated background. 展开更多
关键词 PSO In SHAPING the WAVEFRONT of INCIDENT Light with a STRONG ROBUSTNESS Particle SWARM Optimization Algorithm GA
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Ocular higher-order aberrations and mesopic pupil size in individuals screened for refractive surgery 被引量:2
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作者 Seyed Javad Hashemian Mohammad Soleimani +4 位作者 Alireza Foroutan Mahmood Joshaghani Mohammad Jafar Ghaempanah Mohammad Ebrahim Jafari Mehdi Yaseri 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2012年第2期222-225,共4页
AIM: To study the distribution of ocular higher-order aberrations(HOAs) and mesopic pupil size in individuals screened for refractive surgery. · METHODS: Ocular HOAs and mesopic pupil size were studied in 2 458 e... AIM: To study the distribution of ocular higher-order aberrations(HOAs) and mesopic pupil size in individuals screened for refractive surgery. · METHODS: Ocular HOAs and mesopic pupil size were studied in 2 458 eyes of 1 240 patients with myopia, myopic astigmatism and compound myopic astigmatism and 215 eyes of 110 patients with hyperopia, hyperopic astigmatism and compound hyperopic astigmatism using the Zywave aberrometer (Busch& Lomb). All patients had correctable refractive errors without a history of refractive surgery or underlying diseases. Root-mean-square values of HOAs, total spherical aberration, total coma and mesopic pupil size were analyzed. Ocular HOAs were measured across a ≥ 6.0 mm pupil, and pupil size measurements were performed under the mesopic condition. · RESULTS: The mean values of HOAs, total spherical aberration and total coma in the myopic group were 0.369 μm, ±0.233, 0.133±0.112μm and 0.330±0.188μm, respectively. In the hyperopic group the mean values of HOAs, total spherical aberration and total coma were 0.418μm±0.214, 0.202±0.209μm and 0.343±0.201μm, respectively. Hyperopes showed greater total HOAs (P <0.01) and total spherical aberration (P <0.01) compared to myopes. In age-matched analysis, only the amount of total spherical aberration was higher in the hyperopic group (P =0.05). Mesopic pupil size in the myopic group was larger (P ≤0.05). · CONCLUSION: The results suggested that significant levels of HOAs were found in both groups which are important for planning refractive surgeries on Iranians. There were significantly higher levels of total spherical aberration in hyperopes compared to myopes. Mesopic pupil size was larger in myopic group. 展开更多
关键词 corneal WAVEFRONT ABERRATION PUPIL mesopic vision race MYOPIA HYPEROPIA
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Evaluations of wavefront aberrations and corneal surface regularity in dry eye patients measured with OPD Scan Ⅲ 被引量:3
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作者 Rong-Jun Liu Bai-Kai Ma +2 位作者 Yu-Fei Gao Yi-Yun Liu Hong Qi 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2022年第3期407-412,共6页
AIM: To compare the wavefront aberrations and corneal surface regularity between dry eye(DE) patients and normal subjects and assess its diagnostic performance for DE measured with OPD Scan-Ⅲ.METHODS: Fifty right eye... AIM: To compare the wavefront aberrations and corneal surface regularity between dry eye(DE) patients and normal subjects and assess its diagnostic performance for DE measured with OPD Scan-Ⅲ.METHODS: Fifty right eyes of 50 DE patients and 31 right eyes of normal subjects were included.The examinations for ocular surface including logarithm of the minimum angle of resolution best-corrected distance visual acuity(logMAR BCVA) the ocular surface disease index(OSDI), tear film break-up time(TBUT) and corneal fluorescein staining(CFS).OPD Scan-Ⅲ was used to measure anterior corneal aberrations including total corneal aberrations, high order aberration(HOA), coma, trefoil, spherical aberration(SA), standard deviation of corneal power(SDP), surface regularity index(SRI) and surface asymmetry index(SAI).Statistical analysis were assessed with nonparametric tests and Spearman’s correlations.All parameters were also analyzed for sensitivity, specificity, and receiver operating characteristics(ROC) curves.RESULTS: Wavefront aberrations parameters including total corneal aberrations, HOA, coma, trefoil, and SA in DE group were significantly higher than those in normal group(P<0.001).Corneal surface regularity parameters including SRI and SAI in DE group were significantly higher than both in normal group(P<0.05).All the wavefront aberrations parameters had significant correlations with ocular surface parameters(P<0.05).The logMAR BCVA had positive correlations with SAI and SRI(all P<0.001).CFS scores had positive correlations with SAI and SRI(all P<0.001).All the wavefront aberrations parameters showed good diagnosis sensitivity and specificity, however, the corneal regularity parameters showed only good specificity but poor sensitivity.The cut-off value selected for trefoil in diagnosis DE showed the highest area under the curve(AUC, 0.921) values as compared to the other parameters with sensitivity of 0.955 and specificity of 0.867.CONCLUSION: Wavefront aberrations and corneal surface regularity are increased in DE patients and also correlated with ocular surface parameters.Wavefront aberrations parameters have potential to be indicators to diagnosis and monitor DE. 展开更多
关键词 dry eye wavefront aberration corneal surface regularity OPD ScanⅢ
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Comparison between iterative wavefront control algorithm and direct gradient wavefront control algorithm for adaptive optics system 被引量:1
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作者 程生毅 刘文劲 +3 位作者 陈善球 董理治 杨平 许冰 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第8期391-397,共7页
Among all kinds of wavefront control algorithms in adaptive optics systems, the direct gradient wavefront control algorithm is the most widespread and common method. This control algorithm obtains the actuator voltage... Among all kinds of wavefront control algorithms in adaptive optics systems, the direct gradient wavefront control algorithm is the most widespread and common method. This control algorithm obtains the actuator voltages directly from wavefront slopes through pre-measuring the relational matrix between deformable mirror actuators and Hartmann wavefront sensor with perfect real-time characteristic and stability. However, with increasing the number of sub-apertures in wavefront sensor and deformable mirror actuators of adaptive optics systems, the matrix operation in direct gradient algorithm takes too much time, which becomes a major factor influencing control effect of adaptive optics systems. In this paper we apply an iterative wavefront control algorithm to high-resolution adaptive optics systems, in which the voltages of each actuator are obtained through iteration arithmetic, which gains great advantage in calculation and storage. For AO system with thousands of actuators, the computational complexity estimate is about O(n2) ~ O(n3) in direct gradient wavefront control algorithm, while the computational complexity estimate in iterative wavefront control algorithm is about O(n) ~(O(n)3/2), in which n is the number of actuators of AO system. And the more the numbers of sub-apertures and deformable mirror actuators, the more significant advantage the iterative wavefront control algorithm exhibits. 展开更多
关键词 adaptive optics ITERATIVE WAVEFRONT CONTROL ALGORITHM DIRECT GRADIENT WAVEFRONT CONTROL ALGORITHM
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Wavefront evolution of the signal beam in Ti:sapphire chirped pulse amplifier 被引量:1
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作者 郭震 於亮红 +2 位作者 李文启 甘泽彪 梁晓燕 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第1期385-389,共5页
We studied the evolution of wavefront aberration(WFA) of a signal beam during amplification in a Ti:sapphire chirped pulse amplification(CPA) system. The results verified that the WFA of the amplified laser beam has l... We studied the evolution of wavefront aberration(WFA) of a signal beam during amplification in a Ti:sapphire chirped pulse amplification(CPA) system. The results verified that the WFA of the amplified laser beam has little relation with the change of the pump beam energies. Transverse parasitic lasing that might occur in CPA hardly affects the wavefront of the signal beam. Thermal effects were also considered in this study, and the results show that the thermal effect cumulated in multiple amplification processes also has no obvious influence on the wavefront of the signal beam for a single-shot frequency. The results presented in this paper confirmed experimentally that the amplification in a Ti:sapphire CPA system has little impact on the WFA of the signal beam and it is very helpful for wavefront correction of single-shot PW and multi-PW laser systems based on Ti:sapphire. 展开更多
关键词 WAVEFRONT ABERRATION Ti:sapphire CHIRPED pulse AMPLIFICATION WAVEFRONT correction
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Iterative freeform lens design for prescribed irradiance on curved target 被引量:2
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作者 Zexin Feng Dewen Cheng Yongtian Wang 《Opto-Electronic Advances》 2020年第7期1-9,I0001,共10页
Current freeform illumination optical designs are mostly focused on producing prescribed irradiance distributions on planar targets.Here,we aim to design freeform optics that could generate a desired illumination on a... Current freeform illumination optical designs are mostly focused on producing prescribed irradiance distributions on planar targets.Here,we aim to design freeform optics that could generate a desired illumination on a curved target from a point source,which is still a challenge.We reduce the difficulties that arise from the curved target by involving its varying z-coordinates in the iterative wavefront tailoring(IWT)procedure.The new IWT-based method is developed under the stereographic coordinate system with a special mesh transformation of the source domain,which is suitable for light sources with light emissions in semi space such as LED sources.The first example demonstrates that a rectangular flat-top illumination can be generated on an undulating surface by a spherical-freeform lens for a Lambertian source.The second example shows that our method is also applicable for producing a non-uniform irradiance distribution in a circular region of the undulating surface. 展开更多
关键词 freeform optics prescribed irradiance distribution curved target iterative wavefront tailoring
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