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Approximating the frequency dispersion of the permittivity of materials with simple analytical functions is of fundamental importance for understanding and modeling their optical properties. Quite generally, the permittivity can be treated…

Optics · Physics 2017-05-16 Hame S Sehmi , Wolfgang Langbein , Egor A Muljarov

In this letter, we describe a very general procedure to obtain a causal fit of the permittivity of materials from experimental data with very few parameters. Unlike other closed forms proposed in the literature, the particularity of this…

The theory of surface electromagnetic waves (SEMWs) propagating at optical frequencies along the interface of an isotropic noble metal [e.g., gold (Au)] and a uniaxial crystal [e.g., Rutile (TiO$_2$)] is revisited with the Drude-Lorentz…

Applied Physics · Physics 2020-12-30 A. P. Misra , M. Shahmansouri , N. Khoddam

The dispersive resonant-state expansion, developed for an accurate calculation of the resonant states in open optical systems with frequency dispersion, is applied here to realistic materials, such as metallic nanoparticles and…

Optics · Physics 2020-01-29 Hame Sehmi , Wolfgang Langbein , Egor Muljarov

We study the temperature-dependent optical properties of gold over a broad energy spectrum covering photon energies below and above the interband threshold. We apply a semi-analytical Drude-Lorentz model with temperature-dependent…

Materials Science · Physics 2024-04-26 P. D. Ndione , S. T. Weber , D. O. Gericke , B. Rethfeld

This paper proposes a theoretical modelling of the simultaneous and non invasive measurement of electrical resistivity and dielectric permittivity, using a quadrupole probe on a subjacent medium. A mathematical-physical model is applied on…

Geophysics · Physics 2014-11-20 A. Settimi , A. Zirizzotti , J. A. Baskaradas , C. Bianchi

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via…

The accuracy of finite-difference time-domain (FDTD) modelling of left-handed metamaterials (LHMs) is dramatically improved by using an averaging technique along the boundaries of LHM slabs. The material frequency dispersion of LHMs is…

Other Condensed Matter · Physics 2009-11-13 Yan Zhao , Pavel Belov , Yang Hao

The repulsion between free electrons inside a metal makes its optical response spatially dispersive, so that it is not described by Drude's model but by a hydrodynamic model. We give here fully analytic results for a metallic slab in this…

Optics · Physics 2017-07-26 Armel Pitelet , Emilien Mallet , Emmanuel Centeno , Antoine Moreau

This paper presents a complex permittivity measurement method for low-dispersive materials as a function of frequency. The introduced method relies only on transmitted power signals which are collected using a spectrum analyzer/power meter,…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Seyed Hossein Mirjahanmardi , Omar Ramahi

The polarization density of a broadband electrodynamic lattice-Boltzmann method (ELBM) is generalized to represent frequency-dispersion of materials interacting with electromagnetic waves. The frequency-dependent refractive index and…

Systems and Control · Electrical Eng. & Systems 2022-10-03 Cael Warner , Loïc Markley , Kenneth J. Chau

Material susceptibilities govern interactions between electromagnetic waves and matter and are of a crucial importance for basic understanding of natural phenomena and for tailoring practical applications. Here we present a new…

We propose a realistic model of the optical properties of silver, in which inter-band transition with a threshold energy of ~ 4 eV is described phenomenologically by an ensemble of oscillators with same damping constant and a certain…

Materials Science · Physics 2013-12-12 Armen Melikyan , Boris Kryzhanovsky

Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical…

Optics · Physics 2025-11-25 Bryce Dixon , Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon(\omega)$ and permeability $\mu(\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and…

Optics · Physics 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

We describe a method of extrapolation based on a "truncated" Kramers-Kronig relation for the complex permittivity ($\epsilon$) and permeability ($\mu$) parameters of a material, based on finite frequency data. Considering a few assumptions,…

Materials Science · Physics 2015-08-13 Christine C. Dantas , Mirabel. C. Rezende , Simone S. Pinto

Space-time varying media enable unprecedented control over electromagnetic waves, yet most existing studies assume idealized, nondispersive materials and thus fail to capture the intrinsic frequency dispersion of realistic platforms. Here,…

Optics · Physics 2025-12-16 Klaas De Kinder , Christophe Caloz

In this work, a method is described to extend the iterative Hirshfeld-I method, generally used for molecules, to periodic systems. The implementation makes use of precalculated pseudo-potential based charge density distributions, and it is…

Materials Science · Physics 2013-11-15 D. E. P. Vanpoucke , P. Bultinck , I. Van Driessche

The engineering of the optical response of materials is a paradigm that demands microscopic-level accuracy and reliable predictive theoretical tools. Here we compare and contrast the dispersive permittivity tensor, using both a low-energy…

Materials Science · Physics 2021-09-29 Mohammad Alidoust , Erlend E. Isachsen , Klaus Halterman , Jaakko Akola

This paper introduces a novel approach to experimentally characterize effective human skin permittivity at sub-Terahertz (sub-THz) frequencies, specifically from $140$~to $210$~GHz, utilizing a quasi-optical measurement system. To ensure…

Medical Physics · Physics 2024-05-21 Bing Xue , Juha Tuomela , Katsuyuki Haneda , Clemens Icheln , Juha Ala-Laurinaho
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