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homotopic mapping solving method for gain fluency of a laser pulse amplifier

Science China(Physics,Mechanics & Astronomy) 2009年第7期52卷 1007-1010页

作者： MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China 2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China Anhui Normal University Wuhu China Division of Computational Science E-Institutes of Shanghai Universities at SJTU Shanghai China

The model for gain fluency of a laser pulse amplifier is studied. Using the homotopic mapping method, firstly, the system of the original model is packed up standardization; secondly, introducing a homotopic mapping, taking the property of the mapping, inducing a contrived parameter, the solving of a nonlinear problem translates into the solving of a linear problem. Then the approximate expressions of the solution for the corresponding model are obtained. And the precision for the approximate solution is compared. It illuminates that the obtained approximate solution using the homotopic mapping method possesses higher approximate degree. At one time, the expansion of solution through the homotopic mapping method can be kept in the analytic operation. Thus it also enables us through differential and integral operations to obtain other physics behavior for the gain fluency of laser pulse amplifier.

关键词： nonlinear homotopic mapping laser pulse amplifier

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The homotopic Probability Distribution and the Partition Function for the Entangled System Around a Ribbon Segment Chain

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Communications in Theoretical Physics 2001年第12期36卷 691-694页

作者： QIAN Shang-Wu GU Zhi-Yu Department of Physics Peking University Beijing 100871 China Department of Physics Capital Normal University Beijing 100037 China

Using the Feynman's path integral with topological constraints arising from the presence of one singular line, we find the homotopic probability distribution PnL for the winding number n and the partition function PL of the entangled system around a ribbon segment chain. We find that when the width of the ribbon segment chain 2a increases,the partition function exponentially decreases, whereas the free energy increases an amount, which is proportional to the square of the width. When the width tends to zero we obtain the same results as those of a single chain with one singular point.

关键词： Feynman's path integral with topological constraints, homotopic probability distribution, parti tion function, entangled system around a ribbon segment chain

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Abnormalities of interhemispheric functional connectivity in individuals with acute eye pain: a resting-state fMRI study

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International Journal of Ophthalmology(English edition) 2019年第4期12卷 634-639页

作者： Zhi-Zhang Dong Fei-Yin Zhu Wen-Qing Shi Yong-Qiang Shu Lin-Long Chen Qing Yuan Qi Lin Pei-Wen Zhu Kang-Cheng Liu You-Lan Min Lei Ye Yi Shao Department of Ophthalmology the Second Affiliated Hospital and Yuying Children's Hospital of Wenzhou Medical University Department of Ophthalmology the First Affiliated Hospital of Nanchang University Department of Clinical Medicine Queen Mary College of Nanchang University Department of Radiology the First Affiliated Hospital of Nanchang University

AIM: To study the changes of the resting state functional connectivity(rsFC) between acute eye pain(EP) subjects and healthy controls(HCs) in the two hemispheres by using voxel-mirrored homotopic connectivity(VMHC) method.METHODS: Totally 20 patients with EP and 20 HCs were enrolled, sex, age, and education were matched, and all subjects were examined by functional magnetic resonance imaging(fMRI) scans at resting-state. The changes of rs FC between the hemispheres were evaluated by the VMHC method according to Gaussian random field(GRF) theory. In order to identify the VMHC, as biomarkers for distinguishing EP and from HC, the receiver operating characteristic curves(ROC) had been analyzed. The relationships were evaluated with Pearson correlation analysis between the mean VMHC signal values and clinical features in these patients.RESULTS: By comparing with health subjects, the significant decreased VMHC values was observed in lingual/calcarine(Brodmann area, BA 30), precentral/postcentral gyrus(PreCG/PosCG; BA 4) and medial frontal gyrus(MFG; BA 8)(false discovery rate corrected <0.01) in the acute EP individuals. The accuracy of area under curve was excellent indicated by the ROC curve analysis of each brain regions.CONCLUSION: Our study demonstrates preliminary evidence of disrupted interhemispheric rsFC in acute EP in sensorimotor and limbic system and somatosensory cortex, which might give some useful information for understanding the neurological mechanisms in acute EP individuals.

关键词： acute eye pain voxel-mirrored homotopic connectivity functional magnetic resonance imaging resting state

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