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Simulation of Influence of Partially Coherent Gaussian Laser Beam on Gradient Force Acting on Dielectric Nanoparticle inside random medium

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Journal of Physical Science and Application 2012年第8期2卷 301-305页

作者： Quang Quy Ho Institute of Applied Physics NEWTECHPRO Vietnam Academy of Science and Technology 8 Hoang Quoc Viet Hanoi Vietnam

The partially coherent beams propagating through random media have been used in the past to enhance effect of nonlinear optical interaction. Moreover, after propagation through a random （or turbulent） medium the coherent beam becomes a partially coherent one. In this research, the analytical formula for the average intensity of Gaussian beam propagating through random medium is derived and the influence of coherent partiality on optical gradient force acting on dielectric particle rounded by a random media is investigated.

关键词： Optical trap partially coherent Gaussian beam random medium gradient force.

Review on Speckle-Based Spectrum Analyzer

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Photonic Sensors 2021年第2期11卷 187-202页

作者： Yangyang WAN Xinyu FAN Zuyuan HE State Key Laboratory of Advanced Optical Communication Systems and Networks Shanghai Jiao Tong UniversityShanghai 200240China

Accurate spectral measurement and wavelength determination are fundamental and vital for many fields.A compact spectrum analyzer with high performance is expected to meet the growing requirements,and speckle-based spectrum analyzer is a potential *** basic principle is based on using the random medium to establish a speckle-to-wavelength mapping relationship for spectrum *** article introduces current speckle-based spectrum analyzers with different schemes and reviews recent advances in this ***,some applications by using speckle-based spectrum analyzers are also ***,the existing challenges and the future prospects of using speckle for spectrum recovery are discussed.

关键词： Speckle spectrum analyzer random medium spectroscopy

Superposition model for analyzing the dynamic ground subsidence in mining area of thick loose layer

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International Journal of Mining Science and Technology 2018年第4期28卷 656-661页

作者： Defeng Hou Dehai Li Guosheng Xu Yanbin Zhang College of Resources & Safety Engineering China University of Mining & Technology Institute of Energy Science and Engineering Henan Polytechnic Universit

The dynamic ground subsidence due to underground mining is a complicated time-dependent and rate- dependent process. Based. on the theory of rock rheology and probability integral method, this study developed the superposltlOn model for the prediction and analysis of the ground dynamic subsidence in mining area of thick !oose layer. The model consists of two parts （the prediction of overlying bedrock and the prediction of thick loose layer）. The overlying bedrock is regarded as visco-elastic beam, of which the dynamic subsidence is predicted by the Kelvin visco-elastic rheological model. The thick loose layer is regarded as random medium, and the ground dynamic subsidence, is predicted by the probability integral model. At last, the two prediction models are vertically stacked in the same coordinate system, and the bedrock dynamic subsidence is regarded as a variable mining thickness input into the prediction model of ground dynamic subsidence. The prediction results obtained were compared w^th actual movement and deformation data from Zhao I and Zhao II mine, central China. The agreement of the prediction results with the. field *** that the superposition model （SM） is more satisfactory and the formulae obtained are more effective than the classical single probability Integral model（SPIM）, and thus can be effectively used for predicting the ground dynamic subsidence in mining area of thick loose layer.

关键词： Thick loose layer Dynamic groundsubsidence Kelvin visco-elastic rheological model random medium Single probability integral model Superposition model

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Study on the scales of heterogeneous geologic bodies in random media

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Applied Geophysics 2011年第4期8卷 363-369,373页

作者：李灿苹刘学伟广东海洋大学海洋遥感与信息技术实验室广东湛江524088 中国地质大学(北京)地球物理与信息技术学院北京100083

In order to study the scale characteristics of heterogeneities in complex media, a random medium is constructed using a statistical method and by changing model parameters （autocorrelation lengths a and b）, the scales of heterogeneous geologic bodies in the horizontal and the vertical Cartesian directions may be varied in the medium. The autocorrelation lengths a and b represent the mean scale of heterogeneous geologic bodies in the horizontal and vertical Cartesian directions in the randQm medium, respectively. Based on this model, the relationship between model autocorrelation lengths and heterogeneous geologic body scales is studied by horizontal velocity variation and standard deviation. The horizontal velocity variation research shows that velocities are in random perturbation. The heterogeneous geologic body scale increases with increasing autocorrelation length. The recursion equation for the relationship between autocorrelation lengths and heterogeneous geologic body scales is determined from the velocity standard deviation research and the actual heterogeneous geologic body scale magnitude can be estimated by the equation.

关键词： random medium autocorrelation length velocity standard deviation heterogeneous geologic body scale

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On the support of super-Brownian motion with super-Brownian immigration

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Progress in Natural Science:Materials International 2001年第6期 70-77页

作者：洪文明钟惠芳 Cannan Normal College China China Department of Mathematics Fudan University Institute of Mathematics Jiangxi 341000 Shanghai 200433

The support properties of the super Brownian motion with random immigration Xtρ are considered, where the immigration rate is governed by the trajectory of another super-Brownian motion ρ. When both the initial state X0ρ of the process and the immigration rate process ρ0 are of finite measure and with compact supports, the probability of the support of the process Xtρ dominated by a ball is given by the solutions of a singular elliptic boundary value problem.

关键词： super-Brownian motion immigration random medium singular boundary value problem.