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Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in…

计算物理 · 物理学 2009-05-28 L. Zschiedrich , S. Burger , B. Kettner , F. Schmidt

In this work, we develop a fast and accurate method for the scattering of flexural-gravity waves by a thin plate of varying thickness overlying a fluid of infinite depth. This problem commonly arises in the study of sea ice and ice shelves,…

数值分析 · 数学 2025-01-03 Travis Askham , Jeremy G. Hoskins , Peter Nekrasov , Manas Rachh

Context: The solution of the nonlocal thermodynamical equilibrium (non-LTE) radiative transfer equation usually relies on stationary iterative methods, which may falsely converge in some cases. Furthermore, these methods are often unable to…

太阳与恒星天体物理 · 物理学 2015-07-29 Julien Lambert , Eric Josselin , Nils Ryde , Alexandre Faure

In recent works we discussed the feasibility of the radar detection technique as a new method to probe high-energy cosmic-neutrino induced plasmas in ice. Using the different properties of the induced ionization plasma, an energy threshold…

高能天体物理现象 · 物理学 2018-02-16 Krijn D. de Vries , Paul Coppin , Aongus O'Murchadha , Olaf Scholten , Simona Toscano , Nick van Eijndhoven

Accurate photometric and kinematic modelling of disc galaxies requires the inclusion of radiative transfer models. Due to the complexity of the radiative transfer equation (RTE), sophisticated techniques are required. Various techniques…

天体物理学 · 物理学 2009-11-06 Maarten Baes , Herwig Dejonghe

A method for the fast and accurate solution of the radiative transfer equation in plane-parallel media with coherent isotropic scattering is presented. This largely analytical approach uses the formalism of meromorphic functions in order to…

天体物理学 · 物理学 2007-05-23 G. V. Efimov , N. V. Kryzhevoi , W. von Waldenfels , R. Wehrse

An essential ingredient of a spectral method is the choice of suitable bases for test and trial spaces. On complex domains, these bases are harder to devise, necessitating the use of domain partitioning techniques such as the spectral…

数值分析 · 数学 2021-11-17 Saad Qadeer , Ehssan Nazockdast , Boyce E. Griffith

To better understand the effect of ice properties on the capabilities of radio experiments designed to measure ultra-high energy neutrinos (UHEN), we recently considered the timing and amplitude characteristics of radio-frequency (RF)…

天体物理仪器与方法 · 物理学 2022-08-16 DaveZ Besson , Ilya Kravchenko , Krishna Nivedita

This paper presents a novel approach to rigorously solving initial value problems for semilinear parabolic partial differential equations (PDEs) using fully spectral Fourier-Chebyshev expansions. By reformulating the PDE as a system of…

偏微分方程分析 · 数学 2025-03-03 Matthieu Cadiot , Jean-Philippe Lessard

We extend the usual derivation of the wave equation from Maxwell's equations in vacuum to the case of electromagnetic fields in dispersive homogeneous isotropic linear media. Usually, dispersive properties of materials are studied in…

经典物理 · 物理学 2019-08-29 V. A. Coelho , F. S. S. Rosa , Reinaldo de Melo e Souza , C. Farina , M. V. Cougo-Pinto

Microwave emissivity models of sea ice are poorly validated empirically. Typical validation studies involve using averaged or stereotyped profiles of ice parameters against averaged radiance measurements. Measurement sites are rarely…

大气与海洋物理 · 物理学 2012-08-10 Peter Mills

We present a new Lattice Boltzmann (LB) formulation to solve the Maxwell equations for electromagnetic (EM) waves propagating in a heterogeneous medium. By using a pseudo-vector discrete Boltzmann distribution, the scheme is shown to…

天体物理仪器与方法 · 物理学 2015-05-30 Shravan M. Hanasoge , Sauro Succi , Steven A. Orszag

The detection of high-energy neutrinos in the EeV range requires new detection techniques to cope with the small expected flux. The radio detection method, utilizing Askaryan emission, can be used to detect these neutrinos in polar ice. The…

天体物理仪器与方法 · 物理学 2023-02-22 Nils Heyer , Christian Glaser

This paper introduces a novel class of indirect boundary integral equation (BIE) formulations for the solution of electromagnetic scattering problems involving smooth perfectly electric conductors (PECs) in three-dimensions. These…

数值分析 · 数学 2025-05-29 Juan Burbano-Gallegos , Carlos Pérez-Arancibia , Catalin Turc

Radio propagation modeling and prediction is fundamental for modern cellular network planning and optimization. Conventional radio propagation models fall into two categories. Empirical models, based on coarse statistics, are simple and…

信息论 · 计算机科学 2021-10-06 Xin Zhang , Xiujun Shu , Bingwen Zhang , Jie Ren , Lizhou Zhou , Xin Chen

It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous medium in 3D can sometimes be governed well by a single PDE, which is derived from the Maxwell's equations. The corresponding component of…

经典物理 · 物理学 2021-02-05 Vladimir G. Romanov , Michael V. Klibanov

Maxwell's equations for propagation of electromagnetic waves in dispersive and absorptive (passive) media are represented in the form of the Schr\"odinger equation $i\partial \Psi/\partial t = {H}\Psi$, where ${H}$ is a linear differential…

计算物理 · 物理学 2009-11-11 Andrei G. Borisov , Sergei V. Shabanov

In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to approximate the full wave equation. One benefit of the…

数值分析 · 数学 2021-04-07 Eric Chung , Yalchin Efendiev , Sai-Mang Pun , Zecheng Zhang

Sunlight radiation under snow-covered sea ice obtained from remote sensing could help assess under-ice primary production at pan-Arctic scale. Yet, the current remote sensing methods to estimate sunlight transmittance under sea ice is…

大气与海洋物理 · 物理学 2026-01-13 Christophe Perron , Bastian Raulier , Philippe Massicotte , Martin Vancoppenolle , Marcel Babin