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A Study of Air/Space-borne Dual-Wavelength Radar for Estimation of Rain Profiles

Advances in Atmospheric Sciences 2005年第6期22卷 841-851页

作者： liang liao Robert MENEGHINI Goddard Earth Sciences ＆ Technology Center/Caelum Greenbelt MD 20771 Code 614.6 NASA/GSFC Greenbelt MD 20771

In this study, a framework is given by which air/space-borne dual-wavelength radar data can be used to estimate the characteristic parameters of hydrometeors. The focus of the study is on the Global Precipitation Measurement （GPM） precipitation radar, a dual-wavelength radar that will operate in the Ku （13.6 GHz） and Ka （35 GHz） bands. A key aspect of the retrievals is the relationship between the differential frequency ratio （DFR） and the median volume diameter, Do, and its dependence on the phase state of the hydrometeors. It is shown that parametric plots of Do and particle concentration in the plane of the DFR and the radar reflectivity factor in the Ku band can be used to reduce the ambiguities in deriving Do from DFR. A self-consistent iterative algorithm, which does not require the use of an independent pathattenuation constraint, is examined by applying it to the apparent radar reflectivity profiles simulated from a drop size distribution （DSD） model. For light to moderate rain, the self-consistent rain profiling approach converges to the correct solution only if the same shape factor of the Gamma distributions is used both to generate and retrieve the rain profiles. On the other hand, if the shape factors differ, the iteration generally converges but not to the correct solution. To further examine the dual-wavelength techniques, the selfconsistent iterative algorithm, along with forward and backward rain profiling algorithms, are applied to measurements taken from the 2nd generation Precipitation Radar （PR-2） built by the Jet Propulsion Laboratory. Consistent with the model results, it is found that the estimated rain profiles are sensitive to the shape factor of the size distribution when the iterative, self-consistent approach is used but relatively insensitive to this parameter when the forward- and backward-constrained approaches are used.

关键词： rain rate dual-wavelength radar raindrop size distribution and GPM

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Hausdorf Dimension of Quadratic Rational Julia Sets

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Acta Mathematica Sinica,English Series 2014年第2期30卷 331-342页

作者： Jia ZHOU liang Wen liao Department of Mathematics Nanjing University

Suppose a quadratic rational map has a Siegel disk and a parabolic fixed point. If the rotation number of the Siegel disk is an irrational of bounded type, then the Julia set of the map is shallow. This implies that i... 详细信息

关键词： Shallow Julia sets quadratic rational map Hausdorff dimension

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On Meromorphic Solutions of a Certain Type of Nonlinear Differential Equations

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Acta Mathematica Sinica,English Series 2017年第12期33卷 1597-1608页

作者： Xiao Qing LU liang Wen liao Jun WANG Mathematics and Information Technology School Jiangsu Second Normal UniversityNanjing 210013P.R.China Department of Mathematics Nanjing UniversityNanjing 210093P.R.China School of Mathematical Sciences Fudan UniversityShanghai 200433P.R.China

We consider transcendental merornorphic solutions with N（r, f） = S（r, f） of the following type of nonlinear differential equations：f^n ＋ Pn-2（f） = p1（z）e~α1（z）＋ p2（z）^α2（z）,where n ≥2 is an integer, Pn-2（f） is a differential polynomial in f of degree not greater than n-2 with small functions of f as its coefficients, p1（z）, p2（z） are nonzero small functions of f1 and α1（z）, α2（z） are nonconstant entire functions. In particular, we give out the conditions for ensuring the existence of meromorphic solutions and their possible forms of the above equation. Our results extend and improve some known results obtained most recently.

关键词： Meromorphic solutions nonlinear differential equations small functions Nevanlinna's value distribution theory

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The Uniqueness of the Entire Functions Whose n-th Powers Share a Small Function with Their Derivatives

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Acta Mathematica Sinica,English Series 2014年第5期30卷 785-792页

作者： Jie ZHANG Hai Yan KANG liang Wen liao College of Science China University of Mining and Technology Department of Mathematics Nanjing University

In this paper, we prove the following result： Let f（z） be a transcendental entire function, Q（z） ≡ 0 be a small function of f（z）, and n ≥ 2 be a positive integer. If fn（z） and（fn（z）） share Q（z） CM, then f（z） = ce 1 nz, where c is a nonzero constant. This result extends Lv＇s result from the case of polynomial to small entire function.

关键词： Uniqueness entire function share values small function

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Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory

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Acta Mechanica Sinica 2014年第4期30卷 516-525页

作者： liao-liang Ke Yue-Sheng Wang Jie Yang Sritawat Kitipornchai Institute of Engineering Mechanics Beijing Jiaotong University School of Civil Engineering The University of QueenslandSt Lucia QLD 4072 Australia School of Aerospace Mechanical and Manufacturing EngineeringRMIT University

In this paper, the free vibration of magneto- electro-elastic （MEE） nanoplates is investigated based on the nonlocal theory and Kirchhoff plate theory. The MEE nanoplate is assumed as all edges simply supported rectan gular plate subjected to the biaxial force, external electric potential, external magnetic potential, and temperature rise. By using the Hamilton＇s principle, the governing equations and boundary conditions are derived and then solved analytically to obtain the natural frequencies of MEE nanoplates. A parametric study is presented to examine the effect of the nonlocal parameter, thermo-magneto-electro-mechanical loadings and aspect ratio on the vibration characteristics of MEE nanoplates. It is found that the natural frequency is quite sensitive to the mechanical loading, electric loading and magnetic loading, while it is insensitive to the thermal loading.

关键词： Magneto-electro-elastic materials Nanoplates ·Nonlocal theory Vibration

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The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space

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Acta Mechanica Sinica 2017年第2期33卷 406-414页

作者： Jie Su liao-liang Ke Yue-Sheng Wang Yang Xiang Institute of Engineering Mechanics Beijing Jiaotong University Beijing 100044 China School of Computing Engineering and MathematicsWestern Sydney University Penrith South NSW 2751 Australia Centre for Infrastructure Engineering Western Sydney University Penrith South NSW 2751 Australia

In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the thickness direction, the electromechanical properties of FGPMs change exponentially. We apply the Hankel integral transform technique and reduce the problem to a singular integral equation, and then numerically determine the unknown contact stress and electric displacement at the contact surface. The results show that the surface contact stress, surface azimuthal displacement, surface electric displacement, and inner electromechanical field are obviously dependent on the gradient index of the FGPM coating. It is found that we can adjust the gradient index of the FGPM coating to modify the distributions of the electric displacement and contact stress.

关键词： Axisymmetric torsional contact Singular integral equation Functionally graded piezoelectric materials (FGPMs)

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New advances in small molecule hole-transporting materials for perovskite solar cells

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Chinese Chemical Letters 2016年第8期27卷 1293-1303,1469页

作者： Ya-Kun Wang Zuo-Quan Jiang liang-Sheng liao Jiangsu Key Laboratory for Carbon-Based Functional Materials & Devices Institute of Functional Nano & Soft Materials (FUNSOM) Soochow University

Organic π-functional molecules are the foundation and basic component of organic optoelectronic *** example,for ideal carrier transporting materials,extended π-conjugation and ordered π-πstacking are necessary to enhance the charge mobility and achieve desirable *** a promising way to convert sunlight into electricity,organometal halide perovskite solar cells（PSCs） have captured a lot of attention due to its predominant merits especially in the aspect of remarkable photovoltaic performance and much potentially low production *** conventional planar PSC structure,hole-transporting layer which typically consists of organic π-functional materials plays a key role in suppressing holeelectron pair recombination,promoting charge transporting and ensuring ohmic contact of back *** the key roles of HTMs and its soaring progress in recent years,here,we will summarize recent progress in small organic π-functional materials from its diverse functions in ***,aiming to further promote the development of organic π-functional molecules and HTMs,a promising direction toward highly efficient HTMs will also be discussed.

关键词： Perovskite solar cell Photovoltaic device Small molecule Conjugated structure Hole-transporting material

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MRI image segmentation based on fast kernel clustering analysis

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Frontiers of Electrical and Electronic Engineering in China 2011年第2期6卷 363-373页

作者： liang liao Yanning ZHANG Shaanxi Provincial Key Laboratory of Speech and Image Information Processing(SAIIP) School of Computer ScienceNorthwestern Polytechnical UniversityXi’an 710129China School of Electric and Information Engineering Zhongyuan University of TechnologyZhengzhou 450007China

Kernel-based clustering is supposed to provide a better analysis tool for pattern classification,which implicitly maps input samples to a highdimensional space for improving pattern *** this implicit space map,the kernel trick is believed to elegantly tackle the problem of“curse of dimensionality”,which has actually been more challenging for kernel-based clustering in terms of computational complexity and classification accuracy,which traditional kernelized algorithms cannot effectively deal *** this paper,we propose a novel kernel clustering algorithm,called KFCM-III,for this problem by replacing the traditional isotropic Gaussian kernel with the anisotropic kernel formulated by Mahalanobis ***,a reduced-set represented kernelized center has been employed for reducing the computational complexity of KFCM-I algorithm and circumventing the model deficiency of KFCM-II *** proposed KFCMIII has been evaluated for segmenting magnetic resonance imaging(MRI)*** this task,an image intensity inhomogeneity correction is employed during image segmentation *** a scheme called preclassification,the proposed intensity correction scheme could further speed up image *** experimental results on public image data show the superiorities of KFCM-III.

关键词： kernel-based clustering dimensionality reduction speeding-up scheme magnetic resonance imaging(MRI)image segmentation intensity inhomogeneity correction

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Shape-engineering of organic heterostructures via a sequential selfassembly strategy for multi-channel photon transportation

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Nano Research 2022年第4期15卷 3781-3787页

作者： Yue Yu Qiang Lv Yi Yuan Xue-Dong Wang liang-Sheng liao Institute of Functional Nano&Soft Materials(FUNSOM) Jiangsu Key Laboratory for Carbon-Based Functional Materials&DevicesSoochow UniversitySuzhou 215123China Macao Institute of Materials Science and Engineering Macao University of Science and TechnologyTaipaMacao 999078MacaoChina

The controlled self-assembly of organic heterostructures(OHSs)with precisely defined compositions,architectures,and interfaces,have largely remained a ***,we introduce an effective approach to accurately construct three types of axial branching OHSs including unilateral axial OHSs,bilateral single-branching axial OHSs and bilateral multi-branching axial OHSs through modulating hierarchical charge-transfer intermolecular interactions and sequential crystal nucleation rate on account of the two different cocrystals with the low lattice mismatching rate of~2.2%.The present work opens an avenue for rationally designing and finely synthesizing more kinds of OHSs.

关键词： sequential self-assembly axial heterostructures non-covalent interaction lattice-match multi-channel outputs

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Recent progress on the excited-state multiple proton transfer process in organic molecules

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Science China Chemistry 2022年第10期65卷 1843-1853页

作者： Wan-Ying Yang Chang-Cun Yan Xue-Dong Wang liang-Sheng liao Institute of Functional Nano&Soft Materials(FUNSOM) Jiangsu Key Laboratory for Carbon-Based Functional Materials&DevicesSoochow UniversitySuzhou 215123China Macao Institute of Materials Science and Engineering Macao University of Science and TechnologyTaipa 999078China

In contrast to the widely reported excited-state single proton-transfer,excited-state multiple proton transfer(ESMPT)containing two or more intra-or inter-molecular proton transfers has greatly expanded the research scope of the excited-state proton *** recent decades,ESMPT-active organic molecules have attracted much attention owing to their unique photophysical properties,such as large magnitude Stokes shifts and dual *** photophysical properties facilitate the application of the organic molecules in organic solid-state lasers,fluorescent probes and sensors,and molecular ***,we introduce the fundamentals of the ESMPT and review the recent advances in different types of ESMPTs in organic ***,we present our conclusions and the future development prospects of the ESMPT in organic molecules.

关键词： excited-state multiple proton transfer hydrogen bond photoisomerization organic molecules photophysical properties

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