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It is proven that in the lossless case the electrodynamics of a generic inhomogeneous possibly bianisotropic and nonreciprocal system may be described by an augmented state-vector whose time evolution is determined by a Hermitian operator.…

Optics · Physics 2019-01-10 Mario G. Silveirinha

Stochastic reaction networks are a fundamental model to describe interactions between species where random fluctuations are relevant. The master equation provides the evolution of the probability distribution across the discrete state space…

Molecular Networks · Quantitative Biology 2021-06-15 Tabea Waizmann , Luca Bortolussi , Andrea Vandin , Mirco Tribastone

The parametric radiative transfer equation (RTE) arises in multi-query applications, such as design optimization, inverse problems, and uncertainty quantification, which require solving the RTE multiple times for various parameters.…

Numerical Analysis · Mathematics 2025-09-08 Ning Tang , Zhichao Peng

The relativistic mean field theory with the Green's function method is taken to study the single-particle resonant states. Different from our previous work [Phys.Rev.C 90,054321(2014)], the resonant states are identified by searching for…

Nuclear Theory · Physics 2020-08-26 Cheng Chen , Zhi Pan Li , Yu Xiao Li , Ting-Ting Sun

Motivated by entanglement protection, our work utilizes a resonance effect to enhance optomechanical entanglement in the coherent-state representation. We propose a filtering model to filter out the significant detuning components between a…

Quantum Physics · Physics 2024-05-14 Cheng Shang , Hongchao Li

A recently developed linear algebraic method for the computation of perturbation expansion coefficients to large order is applied to the problem of a hydrogenic atom in a magnetic field. We take as the zeroth order approximation the $D…

chem-ph · Physics 2009-10-22 Timothy C. Germann , Dudley R. Herschbach , Bruce M. Boghosian

We present a self-consistent quantum optics approach to calculating the surface enhanced Raman spectrum of molecules coupled to arbitrarily shaped plasmonic systems. Our treatment is intuitive to use and provides fresh analytical insight…

Optics · Physics 2017-06-26 Mohsen Kamandar Dezfouli , Stephen Hughes

We report on the optical response of a suspended-mass detuned resonant sideband extraction (RSE) interferometer with power recycling. The purpose of the detuned RSE configuration is to manipulate and optimize the optical response of the…

Of particular interest for radio and hard X-ray diagnostics of accelerated electrons during solar flares is the understanding of the basic non-linear mechanisms regulating the relaxation of electron beams propagating in turbulent plasmas.…

Space Physics · Physics 2015-03-06 Nicolas H. Bian , Eduard P. Kontar , Heather Ratcliffe

In this paper, we investigate tensor based nonintrusive reduced-order models (ROMs) for parametric cross-diffusion equations. The full-order model (FOM) consists of ordinary differential equations (ODEs) in matrix or tensor form resulting…

Numerical Analysis · Mathematics 2022-08-01 Bulent Karasozen , Murat Uzunca , Gulden Mulayim

We theoretically investigate the enhancement of surface enhanced Raman spectroscopy (SERS) using hyperbolic stratified nanostructures and compare to metal nanoresonators. The photon Green function of each nanostructure within its…

Analog-to-digital (quantization) and digital-to-analog (de-quantization) conversion are fundamental operations of many information processing systems. In practice, the precision of these operations is always bounded, first by the random…

Information Theory · Computer Science 2018-12-12 Diu Khue Luu , Anh Tuan Nguyen , Zhi Yang

Multiscale entropy (MSE) is a widely-used tool to analyze biomedical signals. It was proposed to overcome the deficiencies of conventional entropy methods when quantifying the complexity of time series. However, MSE is undefined for very…

Information Theory · Computer Science 2017-05-04 Hamed Azami , Mostafa Rostaghi , Daniel Abasolo , Javier Escudero

Resonance based numerical schemes are those in which cancellations in the oscillatory components of the equation are taken advantage of in order to reduce the regularity required of the initial data to achieve a particular order of error…

Numerical Analysis · Mathematics 2024-02-14 Jacob Armstrong-Goodall , Yvain Bruned

Many naturally-occuring models in the sciences are well-approximated by simplified models, using multiscale techniques. In such settings it is natural to ask about the relationship between inverse problems defined by the original problem…

Numerical Analysis · Mathematics 2019-02-28 Kit Newton , Qin Li , Andrew Stuart

Modal analysis based on the quasi-normal modes (QNM), also called resonant states, has emerged as a promising way for modeling the resonant interaction of light with open optical cavities. However, the fields associated with QNM in open…

Optics · Physics 2018-08-21 Rémi Colom , Ross McPhedran , Brian Stout , Nicolas Bonod

This article presents a tracking control framework enhanced by an extended state observer for a rotorcraft aerial vehicle modeled as a rigid body in three-dimensional translational and rotational motions. The system is considered as an…

Optimization and Control · Mathematics 2023-06-16 Ningshan Wang , Reza Hamrah , Amit K. Sanyal , Mark N. Glauser

Electron Spin Resonance (ESR) describes a suite of techniques for characterising electronic systems, with applications in physics, materials science, chemistry, and biology. However, the requirement for large electron spin ensembles in…

Quantum Physics · Physics 2015-03-04 L. T. Hall , P. Kehayias , D. A. Simpson , A. Jarmola , A. Stacey , D. Budker , L. C. L. Hollenberg

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

Magnetic spectroscopy at the nanoscale provides unique insights into material properties and dynamics, with quantum sensors like nitrogen-vacancy (NV) centers being ideally suited for these scales. However, detecting low-frequency signals…

Quantum Physics · Physics 2026-03-09 Inbar Zohar , Santiago Oviedo-Casado , Andrej Denisenko , Rainer Stöhr , Amit Finkler
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