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Simulating and developing large rectangularly shaped arrays with equidistant interspacing is challenging as the computational complexity grows quickly with array size. However, the geometrical shape of the array, appropriately meshed, leads…

Numerical Analysis · Mathematics 2025-06-26 Harald Hultin , Lucas Åkerstedt , B. L. G. Jonsson

Antenna arrays have been used in various applications and have become an important tool to achieve high spectral efficiency in wireless communications. Its use brings to the communications system an increase in performance in terms of…

Signal Processing · Electrical Eng. & Systems 2019-09-12 F. Estevão S. Pereira , Josef A. Nossek , F. Rodrigo P. Cavalcanti

Electromagnetic analysis of antennas embedded in or interacting with large surrounding structures poses inherent multiscale challenges: the antenna is electrically small yet geometrically detailed, while the environment is electrically…

Computational Engineering, Finance, and Science · Computer Science 2025-09-29 Chenbo Shi , Shichen Liang , Xin Gu , Jin Pan , Le Zuo

We present a numerical method for the analysis of mutual coupling effects in large, dense and irregular arrays with identical antennas. Building on the Method of Moments (MoM), our technique employs a Macro Basis Function (MBF) approach for…

Instrumentation and Methods for Astrophysics · Physics 2024-09-04 Quentin Gueuning , Eloy de Lera Acedo , Anthony Keith Brown , Christophe Craeye , Oscar O'Hara

The active element pattern method is widely employed in beam pattern synthesis of array antenna to account for mutual coupling between antenna elements. Calculating the active element patterns for large number of array requires full-wave…

Numerical Analysis · Mathematics 2025-11-04 Jeong-Wan Lee , Sung-Jun Yang

This paper presents a computation method of generalized scattering matrix (GSM) based on integral equations and the method of moments (MoM), specifically designed for antennas excited through waveguide ports. By leveraging two distinct…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

As wireless networks progress toward sixthgeneration (6G), understanding the spatial distribution of directional beam coverage becomes increasingly important for beam management and link optimization. Multiple-input multipleoutput (MIMO)…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Hao Sun , Junting Chen , Xianghao Yu

Numeric modeling of electromagnetics and acoustics frequently entails matrix-vector multiplication with block Toeplitz structure. When the corresponding block Toeplitz matrix is not highly sparse, e.g. when considering the electromagnetic…

Numerical Analysis · Mathematics 2024-06-27 Alexandre Siron , Sean Molesky

Mutual coupling is a dominant systematic effect in dense reflector arrays, imprinting direction-dependent and frequency-dependent structure on embedded element patterns (EEPs) and currently limiting sensitivity in precision radio…

Instrumentation and Methods for Astrophysics · Physics 2026-04-14 Quentin Gueuning , Eloy de Lera Acedo , Anthony Keith Brown , Nicolas Fagnoni

In most multiple-input multiple-output (MIMO) communication systems, antennas are spaced at least half a wavelength apart to reduce mutual coupling. In this configuration, the maximum array gain is equal to the number of antennas. However,…

Information Theory · Computer Science 2024-11-12 Liangcheng Han , Haifan Yin , Mengying Gao , Jingcheng Xie

A conversion matrix approach to solving network problems involving time-varying circuit components is applied to the method of moments for electromagnetic scattering analysis. Detailed formulations of this technique's application to the…

Systems and Control · Electrical Eng. & Systems 2022-09-21 S. F. Bass , A. M. Palmer , K. R. Schab , K. C. Kerby-Patel , J. E. Ruyle

This paper presents a new fast power series solution method to solve the Hierarchal Method of Moment(MoM) matrix for a large complex,perfectly electric conducting (PEC) 3D structures. The proposed power series solution converges in just two…

Numerical Analysis · Mathematics 2021-11-29 Yoginder Kumar Negi , N. Balakrishnan , Sadasiva M. Rao

This paper presents a fast inverse design framework for complex multilayered, multiport pixelated surfaces - a class of structures largely unexplored in current research. Leveraging a method-of-moments (MoM) electromagnetic (EM) solver, the…

Applied Physics · Physics 2026-05-11 Woojun Lee , Jungmin Lee , Jeffrey S. Walling

In most multiple-input multiple-output (MIMO) communication systems, e.g., Massive MIMO, the antenna spacing is generally no less than half a wavelength. It helps to reduce the mutual coupling and therefore facilitate the system design. The…

Information Theory · Computer Science 2022-04-26 Liangcheng Han , Haifan Yin , Thomas L. Marzetta

This paper proposes a set of piecewise Toeplitz matrices as the linear mapping/sensing operator $\mathcal{A}: \mathbf{R}^{n_1 \times n_2} \rightarrow \mathbf{R}^M$ for recovering low rank matrices from few measurements. We prove that such…

Information Theory · Computer Science 2016-03-27 Kezhi Li , Cristian R. Rojas , Saikat Chatterjee , Håkan Hjalmarsson

Theoretically, the three-dimensional (3D) array architecture provides a higher communication degree of freedom (DoF) compared to the planar arrays, allowing for greater capacity potential in multiple-input multiple-output (MIMO) systems.…

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

This work presents a new constructive uniqueness proof for Calder\'on's inverse problem of electrical impedance tomography, subject to local Cauchy data, for a large class of piecewise constant conductivities that we call "piecewise…

Analysis of PDEs · Mathematics 2020-08-18 Henrik Garde

Next generation communication and sensing require enabling technologies for miniaturized and efficient heterogeneous systems while integrating technologies ranging from silicon to compound semiconductors and from photonic chips to…

Signal Processing · Electrical Eng. & Systems 2024-07-17 Najme Ebrahimi

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou
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