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A numerical method is presented to compute the eigenmodes supported by three dimensional (3D) metamaterials using the Method of Moments (MoM). The method relies on interstitial equivalent currents between layers. First, a parabolic…

Computational Physics · Physics 2019-12-02 Denis Tihon , Valentina Sozio , Nilufer A. Ozdemir , Matteo Albani , Christophe Craeye

This paper proposes a mode multigrid (MMG) method, and applies it to accelerate the convergence of the steady state flow on unstructured grids. The dynamic mode decomposition (DMD) technique is used to analyze the convergence process of…

Computational Physics · Physics 2018-02-27 Yilang Liu , Weiwei Zhang , Jiaqing Kou

In this work, we propose an interpretable, robust, and lightweight machine learning method for automatic modulation classification (AMC) under dynamic and noisy channel conditions. It is called green automatic modulation classification…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Chee-An Yu , Young-Kai Chen , C. -C. Jay Kuo

Signal decomposition is an effective tool to assist the identification of modal information in time-domain signals. Two signal decomposition methods, including the empirical wavelet transform (EWT) and Fourier decomposition method (FDM),…

Signal Processing · Electrical Eng. & Systems 2023-01-31 Wei Zhou , Zhongren Feng , Y. F. Xu , Xiongjiang Wang , Hao Lv

In this paper, we propose a novel modulation concept which we call \emph{index and composition modulation (ICM)}. In the proposed concept, we use indices of active/deactive codeword elements and compositions of an integer to encode…

Signal Processing · Electrical Eng. & Systems 2020-09-29 Ferhat Yarkin , Justin P. Coon

We present the Finite Element Method (FEM) for the numerical solution of the multidimensional coefficient inverse problem (MCIP) in two dimensions. This method is used for explicit reconstruction of the coefficient in the hyperbolic…

Numerical Analysis · Mathematics 2016-03-25 L. Beilina

An exact arithmetic, memory efficient direct solution method for finite element method (FEM) computations is outlined. Unlike conventional black-box or low-rank direct solvers that are opaque to the underlying physical problem, the proposed…

Computational Engineering, Finance, and Science · Computer Science 2020-02-13 Javad Moshfegh , Marinos N. Vouvakis

While time-frequency analysis provides rich representations of multicomponent signals, current decomposition methods often overlook the morphological structure where components manifest as distinct regions. This study introduces…

Signal Processing · Electrical Eng. & Systems 2025-11-26 Wei Zhou , Wei-Jian Li , Desen Zhu , Hongbin Xu , Wei-Xin Ren

Temporal or spatial structures are readily extracted from complex data by modal decompositions like Proper Orthogonal Decomposition (POD) or Dynamic Mode Decomposition (DMD). Subspaces of such decompositions serve as reduced order models…

Fluid Dynamics · Physics 2019-02-25 Jörn Sesterhenn , Amir Shahirpour

The dispersion surfaces of printed periodic structures in layered media are efficiently computed using a full-wave method based on the periodic Method of Moments (MoM). The geometry of the dispersion surface is estimated after mapping the…

Computational Physics · Physics 2023-09-27 Denis Tihon , Shambhu Nath Jha , Modeste Bodehou , Christophe Craeye

Accurate readout of low-power optical higher-order spatial modes is of increasing importance to the precision metrology community. Mode sensors are used to prevent mode mismatches from degrading quantum and thermal noise mitigation…

Instrumentation and Detectors · Physics 2020-04-09 A. W. Jones , M. Wang , C. M. Mow-Lowry , A. Freise

The accurate calculation of guided electromagnetic modes in optical nanofibres is critical for applications in nanophotonics, from quantum interfaces to vectorial light sensing. Standard textbook methods rely on solving a $4\times4$ matrix…

Optics · Physics 2026-02-17 Sebastian Golat , Francisco J. Rodríguez-Fortuño

We propose an efficient finite-element analysis of the vector wave equation in a class of relatively general curved polygons. The proposed method is suitable for an accurate and efficient calculation of the propagation constants of…

Computational Physics · Physics 2016-03-15 Ehsan Khodapanah

A methodology to reduce the computational cost of time domain computations of eddy currents problems is proposed and implemented in a parallel computing environment. It is based on the modal decomposition of the current density and it is…

Computational Engineering, Finance, and Science · Computer Science 2024-07-18 Salvatore Ventre , Andrea Chiariello , Nicola Isernia , Vincenzo Mottola , Antonello Tamburrino

We propose and demonstrate two methods for modal decomposition in multi-mode fibres. Linearly polarized modes propagating in a slightly multi-mode fibre are easily retrieved from intensity measurements at the fibre output surface. The first…

This paper introduces a reduced-order modeling approach based on finite volume methods for hyperbolic systems, combining Proper Orthogonal Decomposition (POD) with the Discrete Empirical Interpolation Method (DEIM) and Proper Interval…

Numerical Analysis · Mathematics 2025-05-07 I. Gómez-Bueno , E. D. Fernández-Nieto , S. Rubino

We present a full-vector finite element method (FEM) mode solver for dielectric waveguides based on a mixed Nedelec-Lagrange discretization of Maxwell's curl equations in the frequency domain. The formulation combines edge elements for…

Optics · Physics 2026-04-15 Ergun Simsek

It is the pursuit of a multiple-input-multiple-output (MIMO) system to approach and even break the limit of channel capacity. However, it is always a big challenge to efficiently characterize the MIMO systems in complex space and get better…

Signal Processing · Electrical Eng. & Systems 2023-01-16 Ruifeng Li , Da Li , Jinyan Ma , Zhaoyang Feng , Ling Zhang , Shurun Tan , Wei E. I. Sha , Hongsheng Chen , Er-Ping Li

Bit-interleaved coded modulation with iterative decoding (BICM-ID) offers very good error performance over additive white Gaussian noise (AWGN) and fading channels if it uses a wisely designed signal mapping. Further, error performance of…

Information Theory · Computer Science 2017-01-06 Hassan M. Navazi , Md. Jahangir Hossain

I describe and present the results of a newly developed fitting methodology optimized for very long time series. The development of this new methodology was motivated by the fact that we now have more than half a decade of nearly…

Astrophysics · Physics 2007-05-23 S. G. Korzennik