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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

We study the dissipative Rabi model under deep strong far-off-resonant driving when the driving frequency and strength exceed significantly the qubit transition frequency. We find analytical expressions for the density matrix, the…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 A. P. Saiko , S. A. Markevich , R. Fedaruk

We investigate the role weakly damped modes play in the selection of Faraday wave patterns forced with rationally-related frequency components m*omega and n*omega. We use symmetry considerations to argue for the special importance of the…

Pattern Formation and Solitons · Physics 2009-11-07 Chad M. Topaz , Mary Silber

An efficient method for frequency domain analysis of 2D cross-field devices is presented. This work was done to analyze and design high efficiency magnetrons. Arbitrary device-geometries are described by a piecewise planar boundary. The…

Accelerator Physics · Physics 2007-05-23 Valery A. Dolgashev , Sami G. Tantawi

The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree…

Computational Physics · Physics 2018-12-26 Ryan Galagusz , Steve McFee

We develop a theoretical framework to quantify the structure of unstable hadron resonances. With the help of the corresponding system in a finite volume, we define the compositeness of resonance states which can be interpreted as a…

Nuclear Theory · Physics 2018-08-20 Yujiro Tsuchida , Tetsuo Hyodo

This contribution describes a statistical model for decaying quantum systems (e.g. photo-dissociation or -ionization). It takes the interference between direct and indirect decay processes explicitely into account. The resulting expressions…

Chaotic Dynamics · Physics 2009-11-11 T. Gorin

This paper considers the effects of small highly contrasted particles on the subwavelength resonances of a system of high-contrast resonators, with an application to sensing. The key technique is a multiple scattering expansion of the…

Analysis of PDEs · Mathematics 2025-05-06 Jinghao Cao , Jörg Nick

We use symmetry considerations to investigate how damped modes affect pattern selection in multi-frequency forced Faraday waves. We classify and tabulate the most important damped modes and determine how the corresponding resonant triad…

Pattern Formation and Solitons · Physics 2007-05-23 Jeff Porter , C. M. Topaz , Mary Silber

Recently, it was shown that strongly driven micromechanical resonators show mode shapes that strongly differ from the eigenmodes. This raises the question of the origin of this nonlinear behavior. We measure the spatial dependence of the…

Optics · Physics 2025-07-18 Timo Sommer , Agnes Zinth , Aditya , Menno Poot

The frequency-dependent conductivity is studied for the one-dimensional Hubbard model, using a selection rule, the Bethe ansatz, and symmetries associated with conservation laws. For densities where the system is metallic the absorption…

Strongly Correlated Electrons · Physics 2009-10-31 J. M. P. Carmelo , N. M. R. Peres , P. D. Sacramento

The unique benefits of Fabry-P\'erot resonators as frequency-stable reference cavities and as an efficient interface between atoms and photons make them an indispensable resource for emerging photonic technologies. To bring these…

We demonstrate the elements of a coupled-resonator optical waveguide in a side-coupled Fabry-P\'erot configuration, and show that the coupling rate between adjacent waveguides can be widely tuned through the thermo-optic effect. The device…

Along with other frequency selective structures [1] (circles and squares), triangular split-ring resonators (TSRRs) only allow frequencies near the center resonant frequency to propagate. Further, TSRRs are attractive due to their small…

Optics · Physics 2016-01-14 Max A. Burnett , Michael A. Fiddy

The propagation of an electromagnetic wave in a one-dimensional fractal object, the Cantor set, is studied. The transfer matrix of the wave amplitude is formulated and its renormalization transformation is analyzed. The focus is on resonant…

Materials Science · Physics 2007-05-23 Naomichi Hatano

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

We present a novel frequency-filtering method for measuring and calculating frequency-filtered photon-correlations. This novel method is a cavity-based system we call the multi-mode array filter, which consists of an array of tunable…

Quantum Physics · Physics 2024-08-20 Jacob Ngaha , Scott Parkins , Howard J. Carmichael

We investigate the effects of counterrotating terms on geometric phase and its relation to the resonance of the Rabi model. We apply the unitary transformation with a single parameter to the Rabi model and obtain the transformed Hamiltonian…

Quantum Physics · Physics 2021-10-27 Sijiang Liu , Zhiguo Lü , Hang Zheng

We consider, for the first time, the effects of strong capacitive and inductive coupling between radio frequency Superconducting Quantum Interference Devices (rf SQUIDs) in an overlapping metamaterial geometry when driven by rf flux at and…

Superconductivity · Physics 2024-06-28 Jingnan Cai , Robin Cantor , Johanne Hizanidis , Nikos Lazarides , Steven M. Anlage

Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis
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