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We calculate the dispersion relations of plasmonic waves propagating along a chain of semiconducting or metallic nanoparticles in the presence of both a static magnetic field ${\bf B}$ and a liquid crystalline host. The dispersion relations…

Mesoscale and Nanoscale Physics · Physics 2016-03-17 Nicholas A. Pike , David Stroud

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and optics design of nanostructured components. As has been shown in previous benchmarks some of the presently used…

Spatially dispersive (also known as non-local) electromagnetic media are considered where the parameters defining the permittivity relation vary periodically. Maxwell's equations give rise to a difference equation corresponding to the…

Classical Physics · Physics 2015-03-23 Jonathan Gratus , Matthew McCormack

The optical properties of molecules close to plasmonic nanostructures greatly differ from their isolated molecule counterparts. To theoretically investigate such systems in a Quantum Chemistry perspective, one has to take into account that…

Mesoscale and Nanoscale Physics · Physics 2016-12-26 Silvio Pipolo , Stefano Corni

We study the propagation of three-dimensional (3D) bipolar ultrashort electromagnetic pulses in an inhomogeneous array of semiconductor carbon nanotubes. The heterogeneity is represented by a planar region with an increased concentration of…

We study properties of the nodal sets of high frequency eigenfunctions and quasimodes for radial perturbations of the Harmonic Oscillator. In particular, we consider nodal sets on spheres of large radius (in the classically forbidden…

Mathematical Physics · Physics 2017-08-23 Thomas Beck , Boris Hanin

Consider the scattering of an acoustic plane wave by a bounded elastic obstacle which is immersed in an open space filled with a homogeneous medium. This paper concerns the mathematical analysis of the coupled two- and three-dimensional…

Analysis of PDEs · Mathematics 2018-12-03 Peijun Li , Lei Zhang

Acoustic waves in a linear time-invariant medium are generally reciprocal; however, reciprocity can break down in a time-variant system. In this Letter, we report on an experimental demonstration of nonreciprocity in a dynamic…

Applied Physics · Physics 2018-11-14 Yifan Wang , Behrooz Yousefzadeh , Hui Chen , Hussein Nassar , Guoliang Huang , Chiara Daraio

This paper introduces a time-domain combined field integral equation for electromagnetic scattering by a perfect electric conductor. The new equation is obtained by leveraging the quasi-Helmholtz projectors, which separate both the unknown…

Numerical Analysis · Mathematics 2024-07-22 Van Chien Le , Pierrick Cordel , Francesco P. Andriulli , Kristof Cools

In this paper we present a novel approach to FEL simulations based on the decomposition of the electromagnetic field in a finite number of radiation modes. The evolution of each mode amplitude is simply determined by energy conservation.…

Accelerator Physics · Physics 2020-11-18 A. Fisher , P. Musumeci , S. B. Van der Geer

We suggest and theoretically study the local field enhancement in a metamaterial sample shaped as a pyramid and formed by plasmonic nanoplates alternating with dielectric ones in parallel to the pyramid base. Due to very small thickness of…

Optics · Physics 2010-03-10 Constantin Simovski , Jacek Pniewski

Recent progress on studies of the nanoscale mechanical responses in disordered systems has highlighted a strong degree of heterogeneity in the elastic moduli. In this contribution, using computer simulations, we study the elastic…

Soft Condensed Matter · Physics 2016-02-12 Hideyuki Mizuno , Leonardo E. Silbert , Matthias Sperl

In tiny metallic nanostructures, quantum confinement and nonlocal response change the collective plasmonic behavior with important consequences for e.g. field-enhancement and extinction cross sections. We report on our most recent…

Optics · Physics 2012-09-07 N. A. Mortensen , G. Toscano , S. Raza , N. Stenger , W. Yan , A. -P. Jauho , S. Xiao , M. Wubs

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

Classical Physics · Physics 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell's equations in an unbounded structure. An exact transparent boundary condition is developed to reformulate the scattering problem into an…

Analysis of PDEs · Mathematics 2016-04-27 Yixian Gao , Peijun Li

The plasmon resonance has found important application in various systems, e.g., nanoantennas, solar panels, refractive index sensors. Unfortunately, a few analytical solutions for such systems are known. The work aims to find a solution for…

Optics · Physics 2022-12-13 Alex Verevkin , Alex Bereza , David Shapiro

In this paper we present a mathematical study of particle diffusion inside and outside a spherical biological cell that has been exposed on one side to a propagating planar diffusive front. The media inside and outside the spherical cell…

Biological Physics · Physics 2024-06-11 Sandeep Santhosh Kumar , Stanley J. Miklavcic

We have developed a perturbative method to model the resonant ionization of atomic systems in fluctuating laser fields. The perturbative method is based on an expansion in terms of the multitime cumulants, a suitable combination of moments…

Atomic Physics · Physics 2020-11-25 Tejaswi Katravulapally , L. A. A. Nikolopoulos

We investigate field quantization in high-curvature geometries. The models and calculations can help with understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probe-like metallic domains. The…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Maryam Bagherian

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen
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