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We simulate EM pulse propagation along the nonuniform earth surface using so called time-domain parabolic equation. To solve it by finite differences, we introduce a time-domain analog of the impedance boundary condition and a nonlocal BC…

Numerical Analysis · Mathematics 2007-05-23 Alexei V. Popov , Vladimir V. Kopeikin

We predict the electromagnetic field driven nucleation of nanoparticles that provide plasmonic oscillations in resonance with the field frequency. The oscillations assume a phase that maximizes the particle polarization and energy gain due…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Victor G. Karpov , Marco Nardone , Nicholas I. Grigorchuk

Modal volumes at the nano-scale, much smaller than the "diffraction-limit", with appreciable quality factors, are calculated for a dielectric cavity embedded in a space between metal plates. The modal field is bounded between the metal…

Optics · Physics 2009-11-11 Eyal Feigenbaum , Meir Orenstein

We develop a numerical method for approximating the surface modes of sphere-like nanoparticles in the quasi-static limit, based on an expansion of (the angular part of) the potentials into spherical harmonics. Comparisons of the results…

Optics · Physics 2010-08-02 Felix Rueting , Hannes Uecker

We study the surface plasmon modes of an arbitrarily shaped nanoparticle in the electrostatic limit. We first deduce an eigenvalue equation for these modes, expressed in terms of the Dirichlet-Neumann operators. We then use the properties…

Mathematical Physics · Physics 2009-03-09 Daniel Grieser , Felix Rüting

A time-domain approach is proposed for the propagation of ultrashort electro- magnetic wave packets beyond the paraxial and the slowly-varying-envelope approximations. An analytical method based on perturbation theory is used to solve the…

Optics · Physics 2007-05-23 Charles Varin , Michel Piché

Elastic electromagnetic form factors of nucleons are investigated both for the time-like and the space-like momentums under the condition that the QCD constraints are satisfied asymptotically. The unsubtracted dispersion relation with the…

High Energy Physics - Phenomenology · Physics 2010-05-12 Susumu Furuichi , Hirohisa Ishikawa , Keiji Watanabe

Accurate characterization of plasmonic materials' dispersion and efficiency remains a key challenge for next-generation nanophotonic devices. Here, we theoretically demonstrate that the plasmon dispersion relation at a metal-dielectric…

Canonical quantization of electromagnetic field inside the time--spatially dispersive inhomogeneous dielectrics is presented. Interacting electromagnetic and matter excitation fields create the closed system, Hamiltonian of which may be…

Quantum Physics · Physics 2009-10-28 Zdenek Hradil

Systems of closely-spaced resonators can be strongly coupled by interactions mediated by scattered electromagnetic fields. In large systems the resulting response has been shown to be more sensitive to these collective interactions than to…

Higher-order accurate solution to electromagnetic scattering problems are obtained at reduced computational cost in a {\it p}-variable finite volume time domain method. Spatial operators of lower, including first-order accuracy, are…

Computational Physics · Physics 2017-09-07 A. Chatterjee , S. M. Joshi

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Daniel Grieser , Hannes Uecker , Svend-Age Biehs , Oliver Huth , Felix Rüting , Martin Holthaus

We prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two…

Analysis of PDEs · Mathematics 2016-02-18 Habib Ammari , Mihai Putinar , Matias Ruiz , Sanghyeon Yu , Hai Zhang

We study the propagation of three-dimensional bipolar ultrashort electromagnetic pulses in an array of semiconductor carbon nanotubes at times much longer than the pulse duration, yet still shorter than the relaxation time in the system.…

A periodic layer of resonant scatterers is considered in the dipolar approximation. An asymptotic expression for the field diffracted is given in terms of an impedance operator. It is shown that surface Bloch modes appear as a collective…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Didier Felbacq , Emmanuel Rousseau , Emmanuel Kling

Investigating nanoplasmonics using time-dependent approaches permits shedding light on the dynamic optical properties of plasmonic structures, which are intrinsically connected with their potential applications in photochemistry and…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Piero Lafiosca , Luca Nicoli , Silvio Pipolo , Stefano Corni , Tommaso Giovannini , Chiara Cappelli

We consider plasmonic metasurfaces constituted by an arbitrary periodic arrangement of spherical metallic nanoparticles. Each nanoparticle supports three degenerate dipolar localized surface plasmon (LSP) resonances. In the regime where the…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 François Fernique , Guillaume Weick

We discuss a time-harmonic inverse scattering problem for the Navier equation with compactly supported penetrable and possibly inhomogeneous scattering objects in an unbounded homogeneous background medium, and we develop a monotonicity…

Analysis of PDEs · Mathematics 2026-02-05 Bastian Harrach , Jianli Xiang

We analyze the plasmonic modes of a metal nanoparticle circular array. Closed form solutions to the eigenmode problem are given. For each polarization, the plasmonic mode with the highest quality is found to be an antiphase mode. We found…

Optics · Physics 2016-07-29 Kin Hung Fung , C. T. Chan

In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled by a divergence form scalar Helmholtz equation) by a bounded…

Analysis of PDEs · Mathematics 2023-09-15 Josselin Garnier , Laure Giovangigli , Quentin Goepfert , Pierre Millien
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