Dan Jiao

ORCID: 0000-0002-4080-2716
Publications
Citations
Views
---
Saved
---
About
Contact & Profiles
Research Areas
  • Electromagnetic Simulation and Numerical Methods
  • Electromagnetic Scattering and Analysis
  • Advanced Antenna and Metasurface Technologies
  • Electromagnetic Compatibility and Measurements
  • Electromagnetic Compatibility and Noise Suppression
  • Microwave Engineering and Waveguides
  • Matrix Theory and Algorithms
  • Lightning and Electromagnetic Phenomena
  • Advanced Numerical Methods in Computational Mathematics
  • Low-power high-performance VLSI design
  • Advancements in Semiconductor Devices and Circuit Design
  • Magnetic Properties and Applications
  • Numerical methods in engineering
  • Quantum and electron transport phenomena
  • Metamaterials and Metasurfaces Applications
  • 3D IC and TSV technologies
  • Thermal Radiation and Cooling Technologies
  • Optical Network Technologies
  • Graphene research and applications
  • Model Reduction and Neural Networks
  • Geophysical Methods and Applications
  • Photonic and Optical Devices
  • Advancements in PLL and VCO Technologies
  • Translation Studies and Practices
  • Antenna Design and Optimization

Purdue University West Lafayette
2016-2025

Union Hospital
2023

Jilin University
2014-2023

Wuhan University
2023

Henan University of Technology
2006-2018

Union Hospital
2014

Anhui University
2012

Xi'an University of Architecture and Technology
2011

Purdue University Northwest
2011

Copiah-Lincoln Community College
2009

Spinning thermal radiation is a unique phenomenon observed in condensed astronomical objects, including the Wolf-Rayet star EZ-CMa and red degenerate G99-47, due to existence of strong magnetic fields. Here, by designing symmetry-broken metasurfaces, we demonstrate that spinning with nonvanishing optical helicity can be realized even without applying field. We design engineering dispersionless band emits omnidirectional radiation, where our reaches 39% fundamental limit. Our results firmly...

10.1126/sciadv.ade4203 article EN cc-by-nc Science Advances 2023-01-27

This paper presents a novel zero voltage switch (ZVS) pulse-width modulation (PWM) DC/DC converter for high power, output applications. By using two active switches in the secondary side of transformer, proposed achieves not only ZVS entire load ranges but also soft commutation rectifier diodes. The topology has simple structure and control strategy. Simulation results experimental 2.8 kW 200 kHz are presented.

10.1109/tpel.2003.823248 article EN IEEE Transactions on Power Electronics 2004-03-01

In this paper, an explicit and unconditionally stable finite-difference time-domain (FDTD) method is developed for electromagnetic analysis. Its time step not restricted by the space step, its accuracy ensured chosen based on accuracy. The strength of conventional FDTD thus preserved in avoiding a system matrix solution, while shortcoming eliminated step's dependence step. Numerical experiments both 2-D 3-D simulations have demonstrated performance proposed stability efficiency without sacrificing

10.1109/tmtt.2014.2358557 article EN IEEE Transactions on Microwave Theory and Techniques 2014-09-25

In this paper, a fast explicit and unconditionally stable finite-difference time-domain (FDTD) method is developed, which does not require partial solution of global eigenvalue problem. method, patch-based single-grid representation the FDTD algorithm developed to facilitate both theoretical analysis efficient computation. This results in natural decomposition curl-curl operator into series rank-1 matrices, each corresponds one patch single grid. The relationship then theoretically analyzed...

10.1109/tmtt.2017.2686862 article EN publisher-specific-oa IEEE Transactions on Microwave Theory and Techniques 2017-04-12

An effective algorithm to construct perfectly matched layers (PMLs) for truncating time-domain finite-element meshes used in the simulation of three-dimensional (3-D) open-region electromagnetic scattering and radiation problems is presented. Both total- scattered-field formulations are described. The proposed based on solution vector wave equation an anisotropic dispersive medium. allows variation PML parameters within each element, which facilitates efficient use higher order basis...

10.1109/tap.2003.809096 article EN IEEE Transactions on Antennas and Propagation 2003-02-01

Using an <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sup xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> matrix as the mathematical framework, we compactly represent a dense system by reduced set of parameters, thus enabling significant reduction in computational complexity. The error bound -matrix-based representation electrodynamic problem was derived. We show that exponential convergence with respect to number interpolation points...

10.1109/tap.2009.2028665 article EN IEEE Transactions on Antennas and Propagation 2009-07-30

The root cause of the instability is quantitatively identified for explicit time-domain finite-element method that employs a time step beyond allowed by stability criterion. With identification cause, an unconditionally stable successfully created, which and accurate solely determined accuracy regardless how large is. proposed retains strength in avoiding solving matrix equation while eliminating its shortcoming step. Numerical experiments have demonstrated superior performance computational...

10.1109/tap.2012.2207666 article EN IEEE Transactions on Antennas and Propagation 2012-07-10

We numerically demonstrate that a planar slab made of magnetic Weyl semimetal (a class topological materials) can emit high-purity circularly polarized (CP) thermal radiation over broad mid- and long-wave infrared wavelength range for significant portion its emission solid angle. This effect fundamentally arises from the strong gyrotropy or nonreciprocity these materials, which primarily depends on momentum separation between nodes in band structure. clarify dependence this underlying...

10.1364/ome.437838 article EN cc-by Optical Materials Express 2021-09-16

This paper presents a general approach for the stability analysis of time-domain finite-element method (TDFEM) electromagnetic simulations. Derived from discrete system analysis, determines by analyzing root-locus map characteristic equation and evaluating spectral radius finite element matrix. The is applicable to TDFEM simulation involving dispersive media various temporal discretization schemes such as central difference, forward backward Newmark methods. It shown that determined material...

10.1109/tap.2002.803965 article EN IEEE Transactions on Antennas and Propagation 2002-11-01

A novel hybrid time-domain finite element-boundary integral method for analyzing three-dimensional (3-D) electromagnetic scattering phenomena is presented. The couples element and boundary field representations in a way that results sparse system matrix solutions are devoid of spurious modes. To accurately represent the unknown fields, scheme employs higher-order vector basis functions defined on curvilinear tetrahedral elements. handle problems involving electrically large objects,...

10.1109/tap.2002.801375 article EN IEEE Transactions on Antennas and Propagation 2002-09-01

A general formulation is described for time-domain finite-element modeling of electromagnetic fields in a dispersive medium. The based on the second-order vector wave equation and incorporates dispersion effect medium via recursively evaluated convolution integral. This evaluation kept to second order accuracy using linear interpolation within each time step. Numerical examples are given validate proposed formulation.

10.1109/7260.923034 article EN IEEE Microwave and Wireless Components Letters 2001-05-01

State-of-the-art integral-equation-based solvers rely on techniques that can perform a dense matrix-vector multiplication in linear complexity. We introduce the <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sup xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> matrix as mathematical framework to enable highly efficient computation of matrices. Under this framework, yet, no complexity has been established for inversion. In work, we...

10.1109/tmtt.2011.2160964 article EN IEEE Transactions on Microwave Theory and Techniques 2011-08-03

To facilitate the broadband modeling of integrated electronic and photonic systems from static to electrodynamic frequencies, we propose an analytical approach study rank integral operator for electromagnetic analysis, which is valid arbitrarily shaped object with arbitrary electric size. With this approach, theoretically prove that a prescribed error bound, minimal interaction between two separated geometry blocks in operator, asymptotically, constant 1-D distributions source observation...

10.1109/tcpmt.2013.2261693 article EN IEEE Transactions on Components Packaging and Manufacturing Technology 2013-07-30

We develop a linear-complexity direct matrix solution for the surface integral equation (IE)-based impedance extraction of arbitrarily shaped 3-D nonideal conductors embedded in dielectric material. A inverse highly irregular system composed both dense and sparse blocks is obtained <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">O</i> ( xmlns:xlink="http://www.w3.org/1999/xlink">N</i> ) complexity with being size. It outperforms state-of-the-art...

10.1109/jproc.2012.2190577 article EN Proceedings of the IEEE 2012-06-01

The dense matrix resulting from an integral equation (IE)-based solution of Maxwell's equations can be compactly represented by H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> -matrix. Given a general -matrix, prevailing fast direct solutions involve approximations whose accuracy only indirectly controlled. In this paper, we propose new algorithms is directly controlled, including both factorization and inversion, for solving...

10.1109/tmtt.2017.2734090 article EN publisher-specific-oa IEEE Transactions on Microwave Theory and Techniques 2017-08-15

An alternative method is developed to make an explicit FDTD unconditionally stable. In this method, given any time step, we find the modes that cannot be stably simulated by and deduct these directly from system matrix (discretized curl-curl operator) before marching. By doing so, original numerical adapted based on desired step rule out root cause of instability. The resultant marching absolutely stable for no matter how large it is, irrespective space step. accuracy also guaranteed chosen...

10.1109/tmtt.2015.2496255 article EN IEEE Transactions on Microwave Theory and Techniques 2015-11-11

10.1109/jmmct.2025.3544143 article EN IEEE journal on multiscale and multiphysics computational techniques 2025-01-01

10.1109/jmmct.2025.3550117 article EN IEEE journal on multiscale and multiphysics computational techniques 2025-01-01

A time-domain, finite element-boundary integral (FE-BI) method is presented for analyzing electromagnetic (EM) scattering from two-dimensional (2-D) inhomogeneous objects. The scheme's finite-element component expands transverse fields in terms of a pair orthogonal vector basis functions and coupled to its boundary such way that the resultant element mass matrix diagonal, more importantly, delivers solutions are free spurious modes. integrals computed using multilevel plane-wave time-domain...

10.1109/8.954934 article EN IEEE Transactions on Antennas and Propagation 2001-01-01

A high-capacity electromagnetic solution, layered finite element method, is proposed for high-frequency modeling of large-scale three-dimensional on-chip circuits. In this first, the matrix system original 3-D problem reduced to that 2-D layers. Second, layers further a single layer. Third, an algorithm logarithmic complexity speed up analysis. addition, excitation and extraction technique developed limit field unknowns needed final circuit layer only, as well keep right-hand side intact...

10.1109/tap.2006.889847 article EN IEEE Transactions on Antennas and Propagation 2007-02-01

State-of-the-art integral-equation-based solvers rely on techniques that can perform a matrix-vector multiplication in O(N) complexity. In this work, fast inverse of linear complexity was developed to solve dense system equations directly for the capacitance extraction any arbitrary shaped 3D structure. The proposed direct solver has demonstrated clear advantages over state-of-the-art such as FastCap and HiCap; with CPU time modest memory consumption, without sacrificing accuracy. It...

10.1145/1629911.1630107 article EN 2009-07-26

It has been observed that finite element based solutions of full-wave Maxwell's equations break down at low frequencies. In this paper, we present a theoretically rigorous method to fundamentally eliminate the low-frequency breakdown problem. The key idea is original frequency-dependent deterministic problem can be rigorously solved from generalized eigenvalue frequency independent. addition, found zero eigenvalues cannot obtained as zeros because machine precision. We hence correct inexact...

10.1109/tadvp.2010.2057428 article EN IEEE Transactions on Advanced Packaging 2010-08-10

Existing methods for solving the low-frequency breakdown problem associated with full-wave solvers rely on approximations, which has left a number of research questions to be answered. The conductors are also generally treated as perfect and dielectric loss is not considered. In this work, rigorous method that does utilize approximations developed eliminate low frequency finite-element based analysis general 3-D problems involving inhomogeneous lossless and/or lossy dielectrics nonideal...

10.1109/tmtt.2011.2171707 article EN IEEE Transactions on Microwave Theory and Techniques 2011-11-17

A new first-principles-based volume integral equation (VIE) formulation is developed for the broadband full-wave extraction of general 3-D circuits, containing arbitrarily shaped lossy conductors with inhomogeneous dielectrics. The proposed accentuates all advantages VIE traditionally solving wave-related problems, while allowing multiport circuit parameters such as impedance Z-, admittance Y-, and scattering S-parameters at ports located anywhere in physical structure a circuit. Its without...

10.1109/tmtt.2013.2285355 article EN IEEE Transactions on Microwave Theory and Techniques 2013-11-19

In this paper, we propose a fast <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> -matrix-based direct solution with significantly reduced computational cost for an integral-equation-based capacitance extraction of large-scale 3-D interconnects in multiple dielectrics. We reduce the computation by simultaneously optimizing -matrix partition to minimize number matrix blocks and minimizing rank each block based on prescribed accuracy. With...

10.1109/tcpmt.2012.2228003 article EN IEEE Transactions on Components Packaging and Manufacturing Technology 2013-01-09
Coming Soon ...