Jun Lai

ORCID: 0000-0002-3044-5583
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About
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Research Areas
  • Electromagnetic Scattering and Analysis
  • Electromagnetic Simulation and Numerical Methods
  • Microwave Imaging and Scattering Analysis
  • Numerical methods in engineering
  • Numerical methods in inverse problems
  • Ultrasonics and Acoustic Wave Propagation
  • Geophysical Methods and Applications
  • Innovative concrete reinforcement materials
  • Concrete Properties and Behavior
  • Electromagnetic Compatibility and Measurements
  • Concrete and Cement Materials Research
  • Photonic Crystals and Applications
  • Photonic and Optical Devices
  • Optical Coatings and Gratings
  • Recycling and utilization of industrial and municipal waste in materials production
  • Concrete Corrosion and Durability
  • Electrospun Nanofibers in Biomedical Applications
  • Iron and Steelmaking Processes
  • Wound Healing and Treatments
  • Solidification and crystal growth phenomena
  • Numerical methods for differential equations
  • Flame retardant materials and properties
  • Structural Health Monitoring Techniques
  • Cholangiocarcinoma and Gallbladder Cancer Studies
  • Surgical Sutures and Adhesives

Zhejiang University
2013-2024

Fujian Institute of Research on the Structure of Matter
2024

Chinese Academy of Sciences
2024

Fuzhou University
2024

Sichuan University
2023

Purdue University West Lafayette
2019

Guangxi University of Science and Technology
2013-2015

Courant Institute of Mathematical Sciences
2014-2015

New York University
2014-2015

Michigan State University
2014

10.3934/ipi.2025014 article EN Inverse Problems and Imaging 2025-01-01

This paper concerns an inverse elastic scattering problem which is to determine the location and shape of a rigid obstacle from phased or phaseless far-field data for single incident plane wave. By introducing Helmholtz decomposition, model reduced coupled boundary value equations. The relation established between compressional shear pattern wave equation corresponding An efficient accurate Nyström-type discretization integral developed solve system. translation invariance patterns are...

10.1137/18m1227263 article EN SIAM Journal on Imaging Sciences 2019-01-01

We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily shaped, large, empty cavity embedded in infinite perfectly conducting half-space. The governing Maxwell equations are reformulated as well-conditioned second kind integral equation, and resulting linear system is solved nearly time using hierarchical matrix factorization technique. illustrate performance scheme with several numerical examples complex shapes over wide range frequencies.

10.1137/140964904 article EN SIAM Journal on Scientific Computing 2014-01-01

.Accurate evaluation of nearly singular integrals plays an important role in many boundary integral equation based numerical methods. In this paper, we propose a variant singularity swapping method to accurately evaluate the layer potentials for arbitrarily close targets. Our is on global trapezoidal rule and trigonometric interpolation, resulting explicit quadrature formula. The achieves spectral accuracy closed analytic curves. order extract from complexified distance function, efficient...

10.1137/23m1571666 article EN SIAM Journal on Numerical Analysis 2024-04-08

This paper focuses on the reduction of radar cross section (RCS) for a cavity embedded in an infinite ground plane. By introducing transparent boundary condition, unbounded scattering problem is reduced to bounded domain problem. RCS formulated as shape optimization involving Helmholtz equation. The existence minimizer proved under appropriate constraint. Descent directions objective function with respect may be found via derivative. It used gradient-based scheme find optimal cavity....

10.1137/130905708 article EN SIAM Journal on Control and Optimization 2014-01-01

10.1016/j.jcp.2019.04.005 article EN publisher-specific-oa Journal of Computational Physics 2019-04-08

Consider the scattering of a time-harmonic plane wave by rigid obstacle embedded in homogeneous and isotropic elastic medium two dimensions. In this paper, novel boundary integral formulation is proposed its highly accurate numerical method developed for problem. More specifically, based on Helmholtz decomposition, model problem reduced to coupled equation with singular kernels. A regularized system constructed order handle degenerated operators. The semi-discrete full-discrete schemes are...

10.1090/mcom/3660 article EN publisher-specific-oa Mathematics of Computation 2021-04-28

Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using complex Green's tensor equation, we utilize Helmholtz decomposition to convert boundary value problem equation into coupled equations. Based on single, double, and combined layer potentials with simpler function present three different integral equations for problem. The well-posedness new are established. Computationally, matrix based method is proposed...

10.1137/18m1232814 article EN SIAM Journal on Scientific Computing 2019-01-01

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded the middle layer. Such geometries are typical microstructured composite materials, and evaluation scattered field requires a suitable fast solver for either single configuration sequence configurations as part design optimization process. We have developed algorithm problems type by combining Sommerfeld...

10.1364/oe.22.020481 article EN cc-by Optics Express 2014-08-15

10.1016/j.acha.2016.10.005 article EN publisher-specific-oa Applied and Computational Harmonic Analysis 2016-11-05

10.1016/j.jcp.2017.05.008 article EN publisher-specific-oa Journal of Computational Physics 2017-05-11

Abstract This paper investigates the reduction of backscatter radar cross section (RCS) for a rectangular cavity embedded in ground plane. The bottom is coated by thin, multilayered absorbing material (RAM) with possibly different permittivities. objective to minimize RCS incidence plane wave over single or set incident angles. By formulating scattering problem as Helmholtz equation artificial boundary condition, gradient respect permittivities determined efficiently adjoint state method,...

10.4208/cicp.090413.130913s article EN Communications in Computational Physics 2014-04-01

10.1016/j.acha.2016.06.009 article EN publisher-specific-oa Applied and Computational Harmonic Analysis 2016-07-03

10.1016/j.jcp.2022.111546 article EN publisher-specific-oa Journal of Computational Physics 2022-08-22

Consider the scattering of a time-harmonic acoustic plane wave by bounded elastic obstacle which is immersed in homogeneous medium. This paper concerns an inverse acoustic-elastic interaction problem, to determine location and shape using either phased or phaseless far-field data. By introducing Helmholtz decomposition, model problem reduced coupled boundary value equations. The jump relations are studied for second derivatives single-layer potential order establish corresponding integral...

10.1088/1361-6420/ab693e article EN Inverse Problems 2020-01-08

The reduction of backscatter radar cross section(RCS) in TE polarization for a rectangular cavity embedded the ground plane is investigated this paper. It established by placing thin, multilayered absorbing material(RAM) with possibly different permittivities at bottom cavity. A minimization problem respect to RCS formulated determine synthesis RAM. underlying scattered field governed generalized Helmholtz equation transparent boundary condition. gradient material permittivity derived...

10.3934/dcdss.2015.8.419 article EN Discrete and Continuous Dynamical Systems - S 2014-10-03

Patients with advanced biliary tract cancer (BTC) have a poor survival. We aim to evaluate the efficacy and safety of nab-paclitaxel plus gemcitabine cisplatin regimen in Chinese BTC patients.

10.4143/crt.2023.726 article EN Cancer Research and Treatment 2023-10-12

There has been increasing interest in making photonic devices more and compact the integrated photonics industry, one of important questions for manufacturers design engineers is how to quantify effect finite cladding thickness on modal confinement loss waveguides. This requires at least six seven digits accuracy computation propagation constant β since proportional imaginary part that orders magnitude smaller than its real by industrial standard. In this paper, we present an accurate...

10.1364/oe.24.024872 article EN cc-by Optics Express 2016-10-17

Abstract In this work, we consider the problem of reconstructing shape a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements scattered field at multiple frequencies. This has important applications in locating and identifying obstacles with axial symmetry general, such as, land mines. We obtain uniqueness result based on single measurement propose two-part framework for recovering obstacle. part 1, introduce an algorithm to find axis by making use far pattern....

10.1088/1361-6420/abac9b article EN Inverse Problems 2020-08-05
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