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Low electron density Drude (LEDD) materials such as indium tin oxide (ITO) are receiving considerable attention because of their combination of CMOS compatibility, unique epsilon-near-zero (ENZ) behavior, and giant ultrafast nonlinear…

Optics · Physics 2024-04-15 Ieng Wai Un , Subhajit Sarkar , Yonatan Sivan

A novel explicit method to model Lorentz linear dispersive media with finite difference method are presented. The method shows an explicit method without any modification to the Leap-Frogging scheme. The polarizations of the Lorentz media…

Numerical Analysis · Mathematics 2020-07-22 Hiroshi Abe

A local permittivity model is proposed to accurately characterize spatial dispersion in non-local wire-medium (WM) structures with arbitrary terminations. A closed-form expression for the local thickness-dependent permittivity is derived…

Classical Physics · Physics 2020-04-22 Alexander B. Yakovlev , Mário G. Silveirinha , George W. Hanson

A lattice Boltzmann method is proposed based on the expansion of the equilibrium distribution function in powers of a new set of generalized orthonormal polynomials which are here presented. The new polynomials are orthonormal under the…

Computational Physics · Physics 2017-03-14 Rodrigo C. V. Coelho , Anderson Ilha , Mauro M. Doria

We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\varepsilon$ and magnetic permeability $\mu$ depend on the…

Mathematical Physics · Physics 2025-04-02 Maxence Cassier , Patrick Joly

The article explores optical properties of nanostructures containing spherical gold nanoparticles of various radii. We explore the particle radius as a criterion to select a permittivity model aimed at describing optical absorption spectra…

A method is proposed for the analysis of the propagation of electromagnetic waves through a homogeneous slab of a medium with Drude-Lorentz dispersion behavior, and excited by a causal sinusoidal source. An expression of the time dependent…

Optics · Physics 2016-10-13 Mohamed Ismail , Boris Gralak

We present a modeling of the nonlinear optical response of a metal surface in order to account for recent experimental results from two-color Sum-Frequency Generation experiments on gold. The model allows calculating the surface and bulk…

Chemical Physics · Physics 2019-05-16 Bertrand Busson , Laetitia Dalstein

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

Mathematical Physics · Physics 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

A straightforward analytical scheme is proposed for computing the long-time, asymptotic mean velocity and dispersivity (effective diffusivity) of a particle undergoing a discrete biased random walk on a periodic lattice amongst an array of…

Soft Condensed Matter · Physics 2009-11-10 Kevin D. Dorfman

To model and quantify the variability in plasticity and failure of additively manufactured metals due to imperfections in their microstructure, we have developed uncertainty quantification methodology based on pseudo marginal likelihood and…

Materials Science · Physics 2020-01-08 M. Khalil , G. H. Teichert , C. Alleman , N. M. Heckman , R. E. Jones , K. Garikipati , B. L. Boyce

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

Mathematical Physics · Physics 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

The properties of metallic systems with important and structured excitations at low energies, such as Cu, are challenging to describe with simple models like the plasmon pole approximation (PPA), and more accurate and sometimes prohibitive…

Materials Science · Physics 2023-04-26 Dario A. Leon , Andrea Ferretti , Daniele Varsano , Elisa Molinari , Claudia Cardoso

This paper describes a method to determine the complex permittivity of a thin dielectric film from finite element analysis and microstrip line measurements. Two transmission line equivalent circuit models were used for the cases of an…

Applied Physics · Physics 2019-08-02 Liang Wang , Guangrui , Xia , Hongyu Yu

It is well-known that electromagnetic dispersive structures such as metamaterials can be modelled by generalized Drude-Lorentz models. The present paper is the first of two articles dedicated to dissipative generalized Drude-Lorentz open…

Analysis of PDEs · Mathematics 2023-05-31 Maxence Cassier , Patrick Joly , Luis Alejandro Rosas Martínez

An analytical model is presented for a rectangular lattice of isotropic scatterers with electric and magnetic resonances. Each isotropic scatterer is formed by putting appropriately 6 $\Omega$-shaped perfectly conducting particles on the…

Optics · Physics 2009-11-07 Constantin R. Simovski , Sailing He

The ultrafast laser-induced solid-liquid phase transition in metals is still not clearly understood and its accurate quantitative description remains a challenge. Here we systematically investigated, both experimentally and theoretically,…

We propose an effective permittivity model to homogenize an array of long thin epsilon-negative rods arranged in a periodic lattice. It is proved that the effect of spatial dispersion in this electromagnetic crystal cannot be neglected, and…

Materials Science · Physics 2009-11-11 Mario Silveirinha

In this work, we present a simple method for the direct retrieval of the effective permittivity and permeability of a bulk semi-infinite metamaterial from variable-angle spectroscopic ellipsometry measurements. Starting from the well-known…

The surface morphology of metal influences its optical absorptivity. Recent experiments have demonstrated that the femtosecond laser induced surface structures on metals could be dynamically controlled by the fluence of laser and the number…

Applied Physics · Physics 2018-11-14 Muhammad Zubair , Yee Sin Ang , Kelvin J. A. Ooi , L. K. Ang