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Temporal coupled-mode theory (CMT) is an acclaimed and widely used theoretical framework for modeling the continuous wave (CW) response and temporal dynamics of any integrated or free-space photonic resonant structure. It was initially…

Metamaterials possess artificial bulk and surface electromagnetic states. Tamed dispersion properties of surface waves allow one to achieve controllable super-Planckian radiative heat transfer (RHT) process between two closely spaced…

Optics · Physics 2016-09-28 Jin Dai , Sergey A. Dyakov , Sergey I. Bozhevolnyi , Min Yan

Spectral methods provide highly accurate numerical solutions for partial differential equations, exhibiting exponential convergence with the number of spectral nodes. Traditionally, in addressing time-dependent nonlinear problems, attention…

Numerical Analysis · Mathematics 2024-06-05 Dibyendu Adak , M. Engin Danis , Duc P. Truong , Kim Ø. Rasmussen , Boian S. Alexandrov

In this paper, a novel multigrid method based on Newton iteration is proposed to solve nonlinear eigenvalue problems. Instead of handling the eigenvalue $\lambda$ and eigenfunction $u$ separately, we treat the eigenpair $(\lambda, u)$ as…

Numerical Analysis · Mathematics 2024-04-30 Fei Xu , Manting Xie , Meiling Yue

In this work, we propose a deep learning-based imaging method for addressing the multi-frequency electromagnetic (EM) inverse scattering problem (ISP). By combining deep learning technology with EM physical laws, we have successfully…

Computational Physics · Physics 2025-09-23 Daoqi Liu , Tao Shan , Maokun Li , Fan Yang , Shenheng Xu

A novel method for solving the linear radiative transport equation (RTE) in a three-dimensional homogeneous medium is proposed and illustrated with numerical examples. The method can be used with an arbitrary phase function A(s,s') with the…

Mathematical Physics · Physics 2007-05-23 George Panasyuk , John C. Schotland , Vadim A. Markel

Earth observation from satellites offers the possibility to monitor our planet with unprecedented accuracy. Radiative transfer models (RTMs) encode the energy transfer through the atmosphere, and are used to model and understand the Earth…

We explore the capabilities of the frequency-resolved frozen phonon multislice method introduced in Phys. Rev. Lett. 124, 025501 (2020) to model inelastic vibrational scattering in transmission electron microscopy. We review the method in…

Materials Science · Physics 2021-09-08 Paul M. Zeiger , Ján Rusz

The theory and numerical modelling of radiation processes and radiative transfer play a key role in astrophysics: they provide the link between the physical properties of an object and the radiation it emits. In the modern era of…

Instrumentation and Methods for Astrophysics · Physics 2019-07-24 Ulrich M. Noebauer , Stuart A. Sim

Radiative heat transfer (RHT) at the nanoscale can vastly exceed the far-field blackbody limit due to the tunneling of evanescent waves, a phenomenon traditionally described by fluctuational electrodynamics (FE). While FE has been…

Statistical Mechanics · Physics 2026-03-30 Yahan Liu , Tao Zhu

In this paper, a fast synthetic iterative scheme is developed to accelerate convergence for the implicit DOM based on the stationary phonon BTE. The key innovative point of the present scheme is the introduction of the macroscopic synthetic…

Computational Physics · Physics 2018-12-18 Chuang Zhang , Songze Chen , Zhaoli Guo , Lei Wu

A theory of temperature dynamics in many-body systems driven by time-dependent external sources is introduced. The formalism based on the combination of the perturbation theory and the fluctuational-electrodynamics approach in many-body…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alireza Naeimi , Moladad Nikbakht

When solving the time-dependent radiative transport equation (RTE), implicit time discretization is often employed for its robustness and stability. This results in a sequence of steady-state RTEs with identical cross-sections but varying…

Numerical Analysis · Mathematics 2026-04-24 Qinchen Song , Lei Zhang , Min Tang

Active control of heat transfer at the nanoscale has great potentials in thermal logic and energy conversion devices. In the present work, we theoretically propose a radiative thermal switch (RTS) composed of a pair of asymmetric black…

Applied Physics · Physics 2020-08-31 Ming-Jian He , Hong Qi , Ya-Tao Ren , Yi-Jun Zhao , Yong Zhang , Jia-Dong Shen , Mauro Antezza

A fundamental pursuit of microwave metrology is the determination of the characteristic impedance profile of microwave systems. Among other methods, this can be practically achieved by means of time-domain reflectometry (TDR) that measures…

Data Analysis, Statistics and Probability · Physics 2018-04-16 J. R. Rinehart , J. H. Béjanin , T. C. Fraser , M. Mariantoni

This paper focuses on real-time all-frequency image-based rendering using an innovative solution for run-time computation of light transport. The approach is based on new results derived for non-linear phase shifting in the Haar wavelet…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Mais Alnasser , Hassan Foroosh

A new Monte-Carlo algorithm for calculating time-dependent radiative-transfer under the assumption of LTE is presented. Unlike flux-limited diffusion the method is polychromatic, includes scattering, and is able to treat the optically thick…

Solar and Stellar Astrophysics · Physics 2015-05-28 Tim J. Harries

Transient diffusion equations arise in many branches of engineering and applied sciences (e.g., heat transfer and mass transfer), and are parabolic partial differential equations. It is well-known that, under certain assumptions on the…

Numerical Analysis · Computer Science 2013-08-06 K. B. Nakshatrala , H. Nagarajan , M. Shabouei

We consider the iterative solution of anisotropic radiative transfer problems using residual minimization over suitable subspaces. We show convergence of the resulting iteration using Hilbert space norms, which allows us to obtain…

Numerical Analysis · Mathematics 2025-05-28 Riccardo Bardin , Matthias Schlottbom

The multi-frequency radiation transport equation (RTE) system models the photon transport and the energy exchange process between the background material and different frequency photons. In this paper, the unified gas-kinetic wave-particle…

Computational Physics · Physics 2023-12-29 Xiaojian Yang , Yajun Zhu , Chang Liu , Kun Xu
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