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Quasi-visualizable detection of deep sub-wavelength defects in patterned wafers by breaking the optical form birefringence: 《International Journal of Extreme Manufacturing》2025年第1期623-639,共17页Jiamin Liu Jinlong Zhu Zhe Yu Xianrui Feng Zedi Li Lei Zhong Jinsong Zhang Honggang Gu Xiuguo Chen Hao Jiang Shiyuan Liu; funded by National Natural Science Foundation of China(Grant Nos.52130504,52305577,and 52175509);the Key Research and Development Plan of Hubei Province(Grant No.2022BAA013);the Major Program(JD)of Hubei Province(Grant No.2023BAA008-2);the Interdisciplinary Research Program of Huazhong University of Science and Technology(2023JCYJ047);the Innovation Project of Optics Valley Laboratory(Grant No.OVL2023PY003);the Postdoctoral Fellowship Program(Grade B)of China Postdoctoral Science Foundation(Grant No.GZB20230244);the fellowship from the China Postdoctoral Science Foundation(2024M750995)。; In integrated circuit(IC)manufacturing,fast,nondestructive,and precise detection of defects in patterned wafers,realized by bright-field microscopy,is one of the critical factors for ensuring the final performance and...; 关键词：defect inspection form birefringence breaking high order difference anisotropic illumination modes deep-subwavelength sensitivity defect classification

Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation: 《Chinese Quarterly Journal of Mathematics》2024年第4期331-354,共24页LI Ping LI Feng-jie; Supported by Shandong Provincial Natural Science Foundation of China(Grant No.ZR2021MA003).; This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian,which could be proposed as a model for the epitaxial growth of thin films.By using th...; 关键词：High order parabolic equation Blow-up time Decay estimate Global existence Logarithmic type p-Laplacian

Ultrashort Isolated Attosecond Pulse Generation with 750-nm Free-Carrier Envelope Phase Near-Infrared Pulses: 《Ultrafast Science》2024年第6期28-35,共8页Xiaowei Wang Fan Xiao Jiacan Wang Li Wang Bin Zhang Jinlei Liu Jing Zhao Zengxiu Zhao; supported by the National Key Research and Development Program of China(grant no.2019YFA0307703);the Major Research Plan of the National Natural Science Foundation of China(grant no.91850201);the National Natural Science Foundation of China(grant nos.12234020 and 11974426).; Ultrashort laser pulses can serve as fast probes to record instant events.The isolated attosecond pulses(IAPs)generated from high-order harmonic generation(HHG)have been shortened down to about 2 atomic units in time,...; 关键词：ultrashort laser pulses high order harmonic generation record instant eventsthe study quantum behaviors isolated attosecond pulses broadband frequency conversi near infrared pulses

Decoding Phase and Time-Dependent Interferograms of High-Order Harmonics: 《Ultrafast Science》2024年第6期36-44,共9页Camilo Granados Ching-Ling Hsiao Marcelo F.Ciappina Khadga J.Karki; support from the National Key Research and Development Program of China(grant no.2023YFA1407100);Guangdong Province Science and Technology Major Project(Future functional materials under extreme conditions-2021B0301030005);the Guangdong Natural Science Foundation(General Program project no.2023A1515010871).; Interferometric measurements of high harmonics induced by multiple laser fields represent a burgeoning field of research,offering prospects for optimized harmonic yield and enabling time-and space-resolved nonlinear s...; 关键词：controlling time delay pulsesour phase difference ultrafast processes optimized harmonic yield phase difference fields we laser fields interferometric measurements high order harmonics

Weighted High Order Poincaré Inequalities on Stratified Lie Groups: 《数学进展》2024年第5期1071-1083,共13页HAN Yecong HUANG Tiren XU Chengdan ZHU Tingjing; In this paper,we focus on studying weighted Poincare inequalities on stratified Lie groups.We derive various Poincaréinequalities in the case 1; 关键词：A_(p)weight Poincaréinequality entire space stratified Lie group high order Sobolev space

A New Efficient Explicit Deferred Correction Framework:Analysis and Applications to Hyperbolic PDEs and Adaptivity: 《Communications on Applied Mathematics and Computation》2024年第3期1629-1664,共36页Lorenzo Micalizzi Davide Torlo; The deferred correction(DeC)is an iterative procedure,characterized by increasing the accuracy at each iteration,which can be used to design numerical methods for systems of ODEs.The main advantage of such framework i...; 关键词：Efficient deferred correction(DeC) Arbitrary high order Stability Adaptive methods Hyperbolic PDEs

High Order ADER-IPDG Methods for the Unsteady Advection-Diffusion Equation: 《Communications on Applied Mathematics and Computation》2024年第3期1954-1977,共24页Michel Bergmann Afaf Bouharguane Angelo Iollo Alexis Tardieu; We present a high-order Galerkin method in both space and time for the 1D unsteady linear advection-diffusion equation. Three Interior Penalty Discontinuous Galerkin (IPDG) schemes are detailed for the space discretiz...; 关键词：ADVECTION-DIFFUSION GALERKIN Arbitrary high order DERivatives(ADER)approach Interior Penalty Discontinuous Galerkin(IPDG) High-order schemes Empirical convergence rates

High Order Total Variational Denoising Algorithm Based on l_(0) Overlapping Combination Sparse: 《Instrumentation》2024年第3期30-40,共11页Binxin Tang Xianchun Zhou Chengcheng Cui Yang Rui; funded by National Nature Science Foundation of China,grant number 61302188。; For addressing impulse noise in images, this paper proposes a denoising algorithm for non-convex impulse noise images based on the l_(0) norm fidelity term. Since the total variation of the l_(0) norm has a better den...; 关键词：image denoising overlapping group sparsity high-order total variation l_(0)-norm ADMM

An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic: 《Communications on Applied Mathematics and Computation》2024年第2期963-991,共29页Remi Abgrall Fatemeh Nassajian Mojarrad; funded by the SNF project 200020_204917 entitled"Structure preserving and fast methods for hyperbolic systems of conservation laws".; We present a class of arbitrarily high order fully explicit kinetic numerical methods in compressible fluid dynamics,both in time and space,which include the relaxation schemes by Jin and Xin.These methods can use the...; 关键词：Kinetic scheme Compressible fluid dynamics High order methods Explicit schemes Asymptotic preserving Defect correction method

A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow: 《Communications on Applied Mathematics and Computation》2024年第1期113-141,共29页Hao Li Xiangxiong Zhang; supported by NSF DMS-1913120.; For solving two-dimensional incompressible flow in the vorticity form by the fourth-order compact finite difference scheme and explicit strong stability preserving temporal discretizations,we show that the simple boun...; 关键词：Finite difference MONOTONICITY Bound-preserving Discrete maximum principle Passive convection Incompressible flow Total variation bounded limiter

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