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There is recent interest in the inter and intra element interactions of metamaterial unit cells. To calculate the effects of these interactions which can be substantial, an ab initio general coupled mode equation, in the form of an…

Other Condensed Matter · Physics 2015-06-05 Sameh Y. Elnaggar , Richard Tervo , Saba M. Mattar

Conventional surface integral equation (SIE)-based characteristic mode formulation for the patch antenna structure with a finite substrate is susceptible to the spurious (nonphysical) modes due to the dielectric part. To avoid the…

Classical Physics · Physics 2022-04-20 Kun Fan , Ran Zhao , Guang Shang Cheng , Zhi Xiang Huang , Jun Hu

A combined source integral equation (CSIE) is constructed on the basis of the electric field integral equation (EFIE) to solve electromagnetic radiation and scattering problems containing perfect electrically conducting bodies. It is…

Numerical Analysis · Mathematics 2022-06-27 Jonas Kornprobst , Thomas F. Eibert

A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition…

Classical Physics · Physics 2023-01-04 Mats Gustafsson , Lukas Jelinek , Kurt Schab , Miloslav Capek

We present an easy-to-implement numerical method for analyzing electromagnetic wave propagation in dielectric rings. Our approach employs a finite-difference-based solver in cylindrical coordinates, solving a mixed electric-magnetic field…

Boundary integral equation methods for analyzing electromagnetic scattering phenomena typically suffer from several of the following problems: (i) ill-conditioning when the frequency is low; (ii) ill-conditioning when the discretization…

Computational Physics · Physics 2020-06-24 Adrien Merlini , Yves Beghein , Kristof Cools , Eric Michielssen , Francesco P. Andriulli

Existing methods for calculating substructure characteristic modes require treating interconnected metal structures as a single entity to ensure current continuity between different metal bodies. However, when these structures are treated…

Classical Physics · Physics 2025-03-25 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

Coherent state path integrals are applied to a many-body problem for non-relativistic electrons in a central potential and an external magnetic field; however, in comparison to previous coherent state path integrals, we definitely fix the…

Statistical Mechanics · Physics 2009-06-16 Bernhard Mieck

This paper presents a new single-source surface integral equation (SS-SIE) to model composite penetrable objects. In the proposed formulation, the surface electric and magnetic fields on all interior boundaries are first eliminated through…

Computational Engineering, Finance, and Science · Computer Science 2020-08-17 Xiaochao Zhou , Zekun Zhu , Shunchuan Yang

The explicit connection between the transition matrix and boundary element method integral operators is formulated. This enables the calculation of characteristic modes via eigenvalue problems involving either set of operators, leading to…

Computational Physics · Physics 2024-12-25 Lukas Jelinek , Kurt Schab , Viktor Hruska , Miloslav Capek , Mats Gustafsson

A characteristic mode (CM) method that relies on a global multi-trace formulation (MTF) of surface integral equations is proposed to compute the modes and the resonance frequencies of microstrip patch antennas with finite dielectric…

Computational Engineering, Finance, and Science · Computer Science 2023-10-24 Ran Zhao , Yuyu Lu , Guang Shang Cheng , Wei Zhu , Jun Hu , Hakan Bagci

In this work, the problem of characteristic mode analysis using eigendecomposition of the method of moments impedance matrix has been simplified using the eigen-subspace approach. The idea behind the eigen-subspace arises from the physical…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Rakesh Sinha , Sandip Ghosal

The results of modification of the CASCIE code aimed at implementing open boundary conditions are presented. The accelerator section developed at CERN was chosen as a prototype for the structured waveguide under testing. Results of testing…

Accelerator Physics · Physics 2025-05-20 M. I. Ayzatsky

We consider the bi-Laplacian eigenvalue problem for the modes of vibration of a thin elastic plate with a discrete set of clamped points. A high-order boundary integral equation method is developed for efficient numerical determination of…

Numerical Analysis · Mathematics 2017-04-04 Alan E. Lindsay , Bryan Quaife , Laura Wendelberger

This paper addresses different aspects of "coupled" model descriptions in computational electromagnetics. This includes domain decomposition, multiscale problems, multiple or hybrid discrete field formulation and multi-physics problems.…

Computational Engineering, Finance, and Science · Computer Science 2023-03-16 Markus Clemens , Sebastian Schöps , Carsten Cimala , Nico Gödel , Simon Runke , Daniel Schmidthäusler , Thomas Timm

We consider Dirac fermion confined in harmonic potential and submitted to a constant magnetic field. The corresponding solutions of the energy spectrum are obtained by using the path integral techniques. For this, we begin by establishing a…

High Energy Physics - Theory · Physics 2016-05-06 Abdeldjalil Merdaci , Ahmed Jellal , Lyazid Chetouani

The boundary integral equation method ascertains explicit relations between localized surface phonon and plasmon polariton resonances and the eigenvalues of its associated electrostatic operator. We show that group-theoretical analysis of…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 R. C. Voicu , T. Sandu

In this work we present the results of a study of the possibility of using a homogeneous basis and a new generalization of coupled modes theory to describe inhomogeneous accelerating sections. It was shown that the single mode…

Accelerator Physics · Physics 2024-09-24 M. I. Ayzatsky

We present a complete analytical derivation of the equations used for stationary and nonstationary wave systems regarding resonant sound transmission and reflection described by the phenomenological Coupled-Mode Theory. We calculate the…

Classical Physics · Physics 2018-06-11 Theodoros T. Koutserimpas , Romain Fleury

This work introduces a theoretical extension of the characteristic mode formulation for analysing the vertical electric dipole lying above a lossy dielectric half-space. As the conventional characteristic formulation fails to maintain the…

Signal Processing · Electrical Eng. & Systems 2020-09-23 Sandip Ghosal , Arijit De , Raed M. Shubair , Ajay Chakrabarty
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