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We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell's equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the…

Numerical Analysis · Mathematics 2017-06-15 Michael J. Jenkinson , Jeffrey W. Banks

Simulation tools for photoacoustic wave propagation have played a key role in advancing photoacoustic imaging by providing quantitative and qualitative insights into parameters affecting image quality. Classical methods for numerically…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Steven Guan , Ko-Tsung Hsu , Parag V. Chitnis

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

The use of up to hundreds of antennas in massive multi-user (MU) multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) poses a complexity challenge for digital predistortion (DPD) aiming to linearize the…

Signal Processing · Electrical Eng. & Systems 2024-10-25 Yibo Wu , Ulf Gustavsson , Mikko Valkama , Alexandre Graell i Amat , Henk Wymeersch

Neural operators extend data-driven models to map between infinite-dimensional functional spaces. While these operators perform effectively in either the time or frequency domain, their performance may be limited when applied to…

Machine Learning · Computer Science 2024-06-06 Karn Tiwari , N M Anoop Krishnan , A P Prathosh

We propose a numerical algorithm that integrates quantum two-level systems (TLSs) into the finite-difference time-domain (FDTD) framework for simulating quantum emitters in arbitrary 3D photonic environments. Conventional methods struggle…

Quantum Physics · Physics 2025-02-27 Qingyi Zhou , S. Ali Hassani Gangaraj , Ming Zhou , Zongfu Yu

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

Computational Physics · Physics 2024-10-23 Ruth Medeiros , Valentin de la Rubia

We introduce a general and fast convolution-based method (FCBM) for peridynamics (PD). Expressing the PD integrals in terms of convolutions and computing them by fast Fourier transform (FFT), we reduce the computational complexity of PD…

Numerical Analysis · Mathematics 2022-03-02 Siavash Jafarzadeh , Farzaneh Mousavi , Adam Larios , Florin Bobaru

Simulating optical tactile sensors presents significant challenges due to their high deformability and intricate optical properties. To address these issues and enable a physically accurate simulation, we propose DOT-Sim: Differentiable…

Robotics · Computer Science 2026-05-01 Yang You , Won Kyung Do , Aiden Swann , Rika Antonova , Monroe Kennedy , Leonidas Guibas

Patient-specific hemodynamics assessment could support diagnosis and treatment of neurovascular diseases. Currently, conventional medical imaging modalities are not able to accurately acquire high-resolution hemodynamic information that…

This paper proposes a scheme for the envisioned sixth-generation (6G) ultra-massive Machine Type Communications(umMTC). In particular, wireless power transfer (WPT) assisted communication is deployed in non-orthogonal multiple access (NOMA)…

Signal Processing · Electrical Eng. & Systems 2023-03-14 Shiyu Jiao , Fang Fang , Zhiguo Ding

Electromagnetic field simulation is central to designing, optimizing, and validating photonic devices and circuits. However, costly computation associated with numerical simulation poses a significant bottleneck, hindering scalability and…

Machine Learning · Computer Science 2024-11-07 Hanqing Zhu , Wenyan Cong , Guojin Chen , Shupeng Ning , Ray T. Chen , Jiaqi Gu , David Z. Pan

Relativistic magnetic reconnection is a non-ideal plasma process that is a source of non-thermal particle acceleration in many high-energy astrophysical systems. Particle-in-cell (PIC) methods are commonly used for simulating reconnection…

High Energy Astrophysical Phenomena · Physics 2023-07-19 Hannah Klion , Revathi Jambunathan , Michael E. Rowan , Eloise Yang , Donald Willcox , Jean-Luc Vay , Remi Lehe , Andrew Myers , Axel Huebl , Weiqun Zhang

High-fidelity simulation of complex physical systems is exorbitantly expensive and inaccessible across spatiotemporal scales. Recently, there has been an increasing interest in leveraging deep learning to augment scientific data based on…

Machine Learning · Computer Science 2022-08-03 Pu Ren , Chengping Rao , Yang Liu , Zihan Ma , Qi Wang , Jian-Xun Wang , Hao Sun

Spatial convolution is fundamental in constructing deep Convolutional Neural Networks (CNNs) for visual recognition. While dynamic convolution enhances model accuracy by adaptively combining static kernels, it incurs significant…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tianyu Zhang , Fan Wan , Haoran Duan , Kevin W. Tong , Jingjing Deng , Yang Long

Among several techniques available for solving Computational Electromagnetics (CEM) problems, the Finite Difference Time Domain (FDTD) method is one of the best suited approaches when a parallelized hardware platform is used. In this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-03 A V Choudhari , N A Pande , M R Gupta

Numerical approximations of partial differential equations (PDEs) are routinely employed to formulate the solution of physics, engineering, and mathematical problems involving functions of several variables, such as the propagation of heat…

Maxwell's equations govern light propagation and its interaction with matter. Therefore, the solution of Maxwell's equations using computational electromagnetic simulations plays a critical role in understanding light-matter interaction and…

Optics · Physics 2024-06-12 Joowon Lim , Demetri Psaltis

On-chip integration of highly anisotropic two-dimensional (2D) materials offers new opportunities for realizing high performance polarization selective devices. Obtaining optimized designs for such devices requires extensively sweeping…

In this paper we present a customized finite-difference-time-domain (FDTD) Maxwell solver for the particle-in-cell (PIC) algorithm. The solver is customized to effectively eliminate the numerical Cerenkov instability (NCI) which arises when…