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This paper investigates surface polariton resonance (SPR) in three-dimensional elastic metamaterials with nanorod geometry. The primary motivation is to surpass the physical limitations imposed by the quasi-static approximation for SPRs…

Mathematical Physics · Physics 2025-12-22 Youjun Deng , Hongyu Liu , Wanjing Tang , Guang-Hui Zheng

This paper is concerned with the polariton resonances and their application for cloaking due to anomalous localized resonance (CALR) for the elastic system within the finite frequency regime beyond the quasi-static approximation. We first…

Analysis of PDEs · Mathematics 2019-10-29 Youjun Deng , Hongjie Li , Hongyu Liu

We consider plasmon resonances and cloaking for the elastostatic system in $\mathbb{R}^3$ via the spectral theory of Neumann-Poincar\'e operator. We first derive the full spectral properties of the Neumann-Poincar\'e operator for the 3D…

Analysis of PDEs · Mathematics 2017-02-22 Youjun Deng , Hongjie Li , Hongyu Liu

In the Reststrahlen region, between the transverse and longitudinal phonon frequencies, polar dielectric materials respond metallically to light and the resulting strong light-matter interactions can lead to the formation of hybrid…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 Christopher R. Gubbin , Simone De Liberato

We study the interaction of focused radially-polarized light with metal nanospheres. By expanding the electromagnetic field in terms of multipoles, we gain insight on the excitation of localized surface plasmon-polariton resonances in the…

Optics · Physics 2009-11-13 Nassiredin M. Mojarad , Mario Agio

We first investigate spectral properties of the Neumann-Poincar\'e (NP) operator for the Lam\'e system of elasto-statics. We show that the elasto-static NP operator can be symmetrized in the same way as that for Laplace operator. We then…

Analysis of PDEs · Mathematics 2015-10-06 Kazunori Ando , Yong-Gwan Ji , Hyeonbae Kang , Kyoungsun Kim , Sanghyeon Yu

We investigate anomalous localized resonance on the circular coated structure and cloaking related to it in the context of elasto-static systems. The structure consists of the circular core with constant Lam\'e parameters and the circular…

Spectral Theory · Mathematics 2016-12-28 Kazunori Ando , Hyeonbae Kang , Kyoungsun Kim , Sanghyeon Yu

Given the flexibility of choosing negative elastic parameters, we construct material structures that can induce two resonance phenomena, referred to as the elastodynamical resonances. They mimic the emerging plasmon/polariton resonance and…

Mathematical Physics · Physics 2022-03-17 Hongjie Li , Hongyu Liu , Jun Zou

In this paper we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we derive small-volume expansions for the electromagnetic…

Mathematical Physics · Physics 2015-10-28 Habib Ammari , Youjun Deng , Pierre Millien

Within the framework of electroweak theory, we investigate the elastic scattering process $ e^{-} + \nu_{\mu} \rightarrow e^{-} + \nu_{\mu}$ in the presence of an intense elliptically polarized laser field. We derive an analytical…

High Energy Physics - Phenomenology · Physics 2022-12-28 R. Chahri , S. El Asri , S. Mouslih , M. Jakha , B. Manaut , S. Taj

One of the most captivating properties of polaritons is their capacity to confine light at the nanoscale. This confinement is even more extreme in two-dimensional (2D) materials. 2D polaritons have been investigated by optical measurements…

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

The propagation of bound optical waves along the surface of a one-dimensional (1-D) photonic crystal (PC) structure is considered. A unified description of the waves in 1-D PCs for both s- and p-polarizations is done via an impedance…

Optics · Physics 2015-03-17 Valery N. Konopsky

We study the interaction of a Bose-Einstein condensate in an optical lattice with additional electromagnetic fields under Raman resonance condition. System of evolution equations describing ultra-short optical pulse propagation and…

Pattern Formation and Solitons · Physics 2009-11-10 A. I. Maimistov , E. V. Kazantseva

The resonant scattering of surface plasmon-polariton waves by embedded semiconductor quantum dots above the dielectric/metal interface is explored in the strong-coupling regime. In contrast to non-resonant scattering by a localized…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Danhong Huang , Michelle Easter , Godfrey Gumbs , A. A. Maradudin , Shawn-Yu Lin , Dave Cardimona , Xiang Zhang

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

Surface phonon polaritons hold much potential for subwavelength control and manipulation of light at the infrared to terahertz wavelengths. Here, aided by monochromatic scanning transmission electron microscopy - electron energy loss…

Mesoscale and Nanoscale Physics · Physics 2021-03-16 Yuehui Li , Ruishi Qi , Ruochen Shi , Ning Li , Yuanwei Sun , Bingyao Liu , Peng Gao

We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction,…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Simon Lamowski , Charlie-Ray Mann , Felicitas Hellbach , Eros Mariani , Guillaume Weick , Fabian Pauly

The discovery of localized plasmon polariton resonances has been pivotal in enabling tunability of the optical resonance. Recently, extensive research efforts have aimed to expand these achievements to other polaritonic states that exhibit…

Surface plasmon polaritons are electromagnetic waves propagating on the surface of a metal. Thanks to subwavelength confinement to the surface, they can concentrate optical energy on the micrometer or even nanometer scale, enabling new…

Materials Science · Physics 2016-04-27 B. Dastmalci , P. Tassin , Th. Koschny , C. M. Soukoulis
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