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This paper presents a novel approach for computing substructure characteristic modes. This method leverages electromagnetic scattering matrices and spherical wave expansion to directly decompose electromagnetic fields. Unlike conventional…

Classical Physics · Physics 2024-09-13 Chenbo Shi , Jin Pan , Xin Gu , Shichen Liang , Le Zuo

A formalism is derived to analyze the scattering of a conducting structure based on the characteristic modes of another structure whose surface is a superset of the first structure. This enables the analysis and comparison of different…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Leonardo Mörlein , Dirk Manteuffel

Characteristic modes of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise…

Computational Physics · Physics 2019-02-19 Miloslav Capek , Vit Losenicky , Lukas Jelinek , Mats Gustafsson

Characteristic modes are formulated using the scattering dyadic, which maps incident plane waves to scattered far fields generated by an object of arbitrary material composition. Numerical construction of the scattering dyadic using…

Computational Engineering, Finance, and Science · Computer Science 2023-02-01 Miloslav Capek , Johan Lundgren , Mats Gustafsson , Kurt Schab , Lukas Jelinek

We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. M. Izrailev , N. M. Makarov , M. Rendon

The problem of substructure characteristic modes is developed using a scattering matrix-based formulation, generalizing subregion characteristic mode decomposition to arbitrary computational tools. It is shown that the modes of the…

Computational Engineering, Finance, and Science · Computer Science 2025-03-13 Mats Gustafsson , Lukas Jelinek , Miloslav Capek , Johan Lundgren , Kurt Schab

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

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

The scattering formulation of characteristic mode decomposition is utilized to extend modal analysis to lossless scatterers breaking time-reversal symmetry. This enables characteristic modes analysis on devices containing gyrotropic or…

A random surface scattering in a one-mode waveguide is studied in the case when the surface profile has long-range correlations along the waveguide. Analytical treatment of this problem shows that with a proper choice of the surface, one…

Condensed Matter · Physics 2009-11-07 F. M. Izrailev , N. M. Makarov

An iterative algorithm is adopted to construct approximate representations of matrices describing the scattering properties of arbitrary objects. The method is based on the implicit evaluation of scattering responses from iteratively…

Computational Physics · Physics 2023-04-19 Johan Lundgren , Kurt Schab , Miloslav Capek , Mats Gustafsson , Lukas Jelinek

We propose a numerical technique for modeling the quantum multimode light scattering by a perfectly conducting body. Using the novel quantization technique, we give the quantum adaptation of the characteristic mode approach widely used in…

Quantum Physics · Physics 2021-12-20 Gregory Ya. Slepyan , Dmitri Mogilevtsev , Ilay Levie , Amir Boag

We provide a detailed discussion on the electromagnetic modeling and classification of polarization converting bianisotropic metasurfaces. To do so, we first present a general approach to compute the scattering response of such…

Optics · Physics 2021-09-15 Karim Achouri , Olivier J. F. Martin

Transport properties of a single-mode waveguide with rough boundary are studied by discrimination between two mechanisms of surface scattering, the amplitude and square-gradient ones. Although these mechanisms are generically mixed, we show…

Statistical Mechanics · Physics 2015-05-30 Manuel Rendón , Felix M. Izrailev , Nykolay M. Makarov

We propose a technique of compensating the spurious reflections implied by the multiple-scattering (MS) method, commonly used for analyzing finite photonic crystal (PC) systems, to obtain exact values of characteristic parameters, such as…

Optics · Physics 2009-11-13 Wojciech Smigaj

Complex periodic structures inherit spectral properties from the constituent parts of their unit cells, chiefly their spectral band gaps. Exploiting this intuitive principle, which is made precise in this work, means spectral features of…

Classical Analysis and ODEs · Mathematics 2024-01-15 Lucas Dunckley , Bryn Davies

Wave phenomena can be artificially engineered by scattering from metasurfaces, which aids in the design of radio-frequency and optical devices for wireless communication, sensing, imaging, wireless power transfer and bio/medical…

Metasurfaces are generally designed by placing scatterers in a periodic grid. We propose and discuss design rules for efficient random and functional metasurfaces with anisotropic elements. We investigate the impact of the elements density…

Optics · Physics 2018-02-05 Matthieu Dupré , Liyi Hsu , Boubacar Kanté

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

Transport properties of narrow two-dimensional conducting wires in which the electron scattering is caused by side edges' roughness have been studied. The method for calculating dynamic characteristics of such conductors is proposed which…

Mesoscale and Nanoscale Physics · Physics 2013-02-01 N. M. Makarov , Yu. V. Tarasov
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