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A comparison of experimentally observed Raman scattering data with Raman line-shapes, generated theoretically using phonon confinement model, has been carried out to understand the sensitivity of different Raman spectral parameters on…

Mesoscale and Nanoscale Physics · Physics 2020-03-20 Neeshu K. M. , Chanchal Rani , Ritika Kaushik , Manushree Tanwar , Ashisha Kumar , Rajesh Kumar

We investigate the small scale equidistribution properties of random waves in $\mathbb{R}^{n}$. Numerical evidence suggests that such objects display a fine scale filament structure. We show that the X-ray along any line segment is…

Analysis of PDEs · Mathematics 2023-01-10 Melissa Tacy

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

In recent years there has been significant interest in the concepts of synthetic dimensions, where one couples the internal degrees of freedom of a particle to form higher-dimensional lattices in lower-dimensional physical structures. For…

Optics · Physics 2019-07-24 Avik Dutt , Momchil Minkov , Qian Lin , Luqi Yuan , David A. B. Miller , Shanhui Fan

We consider a pair of artificial atoms with different ground state energies. By means of finite element calculations we predict that the ground state energies can be tuned into resonance if the artificial atoms are placed into a flexible…

Other Condensed Matter · Physics 2007-12-27 S. Mendach , S. Kiravittaya , A. Rastelli , M. Benyoucef , R. Songmuang , O. G. Schmidt

This paper addresses problems on the structural design of control systems taking explicitly into consideration the possible application to large-scale systems. We provide an efficient and unified framework to solve the following major…

Optimization and Control · Mathematics 2014-09-23 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

We develop an approximate quasi-static theory describing the low-frequency plasmonic resonances of slender nanometallic rings and configurations thereof. First, we use asymptotic arguments to reduce the plasmonic eigenvalue problem…

Optics · Physics 2022-03-23 Matias Ruiz , Ory Schnitzer

We study the transmission and reflection of a plane electromagnetic wave through a two dimensional array of rf-SQUIDs. The basic equations describing the amplitudes of the magnetic field and current in the split-ring resonators are…

Optics · Physics 2015-06-23 J. -G. Caputo , I. Gabitov , A. I. Maimistov

Recently, split ring-resonators (SRR's) have been realized experimentally in the near infrared (NIR) and optical regime. In this contribution we numerically investigate light propagation through an array of metallic SRR's in the NIR and…

Materials Science · Physics 2009-05-28 S. Burger , L. Zschiedrich , R. Klose , A. Schädle , F. Schmidt , C. Enkrich , S. Linden , M. Wegener , C. M. Soukoulis

We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in…

Optics · Physics 2011-09-06 Victor Grigoriev , Fabio Biancalana

This paper proposes a novel, rigorous and simple Fourier-transformation approach to study resonances in a perfectly conducting slab with finite number of subwavelength slits of width $h\ll 1$. Since regions outside the slits are variable…

Numerical Analysis · Mathematics 2020-12-29 Jiaxin Zhou , Wangtao Lu

Optical mode-splitting is an efficient tool to shape and fine-tune the spectral response of resonant nanophotonic devices. The active control of mode-splitting, however, is either small or accompanied by undesired resonance shifts, often…

We study the possibility for the implementation of linear wave structures on discrete grids with various dimensions. The systems of the first order differential equations for the set of virtual functions, describing the wave propagation,…

Numerical Analysis · Mathematics 2019-01-01 Sergey Dvornikov , Maxim Dvornikov

We analyze the phonon spectra of periodic structures formed by two-dimensional mixtures of dipolar colloidal particles. These mixtures display an enormous variety of complex ordered configurations [J. Fornleitner {\it et al.}, Soft Matter…

Soft Condensed Matter · Physics 2013-05-29 J. Fornleitner , G. Kahl , C. N. Likos

Nonlinear light-matter interactions and their applications are constrained by properties of available materials. The use of metamaterials opens the way to achieve precise control over electromagnetic properties at a microscopic level,…

Other Condensed Matter · Physics 2016-09-19 Dmitry Filonov , Yotam Kramer , Vitali Kozlov , Boris A. Malomed , Pavel Ginzburg

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has been proved as a powerful platform to…

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

Optics · Physics 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

Standing spin wave mode frequencies and linewidths in partially disordered perpendicular magnetized arrays of sub-micron Permalloy discs are measured using broadband ferromagnetic resonance and compared to analytical results from a single,…

Mesoscale and Nanoscale Physics · Physics 2014-07-17 N. Ross , M. Kostylev , R. L. Stamps

This paper presents a very simple analytical model for the design of Frequency Selective Surfaces based on Complementary Split Ring Resonators (CSRR) within the microwave range. Simple expressions are provided for the most important…

Optics · Physics 2014-03-21 Laura Maria Pulido-Mancera , Juan Domingo Baena Doello

We derive the formulas for the resonance frequencies and their sensitivity when the nano-slit structures are used in the detection of thin layers. For a thin layer with a thickness of $H$ deposited over the nanostructure, we show…

Classical Physics · Physics 2020-05-11 Junshan Lin , Sang-Hyun Oh , Hai Zhang