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This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized…

Analysis of PDEs · Mathematics 2025-07-21 Cristian E. Gutiérrez , Ahmad Sabra

The engineering of the optical properties of materials in space and time is opening further directions and possibilities to control wave propagation in four dimensions (x,y,z,t). A key example of such modulations are time interfaces where…

Optics · Physics 2026-04-14 Andrew M. Naylor , Victor Pacheco-Peña

Systems of closely-spaced resonators can be strongly coupled by interactions mediated by scattered electromagnetic fields. In large systems the resulting response has been shown to be more sensitive to these collective interactions than to…

While trade-offs between modeling effort and model accuracy remain a major concern with system identification, resorting to data-driven methods often leads to a complete disregard for physical plausibility. To address this issue, we propose…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Oliver Schön , Ricarda-Samantha Götte , Julia Timmermann

Random optical-pulse polarization switching along an active optical medium in the $\Lambda$-configuration with spatially disordered occupation numbers of its lower energy sub-level pair is described using the idealized integrable…

To enable multiple functions of plasmonic nanocircuits, it is of key importance to control the propagation properties and the modal distribution of the guided optical modes such that their impedance matches to that of nearby quantum systems…

Optics · Physics 2012-08-23 Yun-Ting Hung , Chen-Bin Huang , Jer-Shing Huang

We introduce MxDiffusion, a hybrid physics- and data-driven diffusion-based framework that enables efficient and highly accurate generation of photonic structures from target optical properties. The improved accuracy is achieved through a…

Optics · Physics 2026-02-20 Sujoy Mondal , Taehyuk Park , Sudipta Biswas , Alan X. Wang , Wenshan Cai

This paper is concerned with the time-dependent Maxwell's equations for a plane interface between a negative material described by the Drude model and the vacuum, which fill, respectively, two complementary half-spaces. In a first paper, we…

Analysis of PDEs · Mathematics 2021-10-14 Maxence Cassier , Christophe Hazard , Patrick Joly

We consider a hybrid plasmon-exciton system comprised of a resonant molecular subsystem and three Au wires supporting a dipole mode which can be coupled to a dark mode in controllable fashion by variation of a symmetry parameter. The…

Optics · Physics 2015-03-25 Maxim Sukharev , Paul N. Day , Ruth Pachter

This paper is concerned with efficient representations and approximations of the solution to the scattering problem by a system of strongly coupled plasmonic particles. Three schemes are developed: the first is the resonant expansion which…

Numerical Analysis · Mathematics 2017-09-26 Habib Ammari , Matias Ruiz , Sanghyeon Yu , Hai Zhang

Modes with a high-$Q$ factor are crucial for photonic metadevices with advanced functionalities. In sharp contrast to recent techniques which generate a supercavity mode by bound states in the continuum via symmetry breaking, we reveal a…

Optics · Physics 2023-11-03 Xia Zhang , A. Louise Bradley , Xin Zhang

Metaoptics are thin, planar surfaces consisting of many subwavelength optical resonators that can be designed to simultaneously control the amplitude, phase, and polarization to arbitrarily shape an optical wavefront much in the same manner…

We propose a topological plasmonic crystal structure composed of an array of parallel nanowires with unequal spacing. In the paraxial approximation, the Helmholtz equation that describes the propagation of light along the nanowires maps…

Mesoscale and Nanoscale Physics · Physics 2016-10-28 Chenxu Liu , M. V. Gurudev Dutt , David Pekker

Diffusion based generative models have achieved unprecedented fidelity in synthesizing high dimensional data, yet the theoretical mechanisms governing multimodal generation remain poorly understood. Here, we present a theoretical framework…

Machine Learning · Computer Science 2026-02-10 Emil Albrychiewicz , Andrés Franco Valiente , Li-Ching Chen

Coupling, synchronization, and non-linear dynamics of resonator modes are omnipresent in nature and highly relevant for a multitude of applications ranging from lasers to Josephson arrays and spin torque oscillators. Nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Matthias Pernpeintner , Philip Schmidt , Daniel Schwienbacher , Rudolf Gross , Hans Huebl

We present a basic framework for modeling collective mode effects in photocurrent measurements performed on two-dimensional materials using nano-optical scanned probes. We consider photothermal, photovoltaic, and bolometric contributions to…

Mesoscale and Nanoscale Physics · Physics 2023-12-04 A. Rikhter , D. N. Basov , M. M. Fogler

Despite its widespread significance, the temporal coupled-mode theory (CMT) lacks a foundational validation based on electromagnetic principles and stands as a phenomenological theory relying on fitted coupling coefficients. We employ an ab…

Optics · Physics 2024-06-11 Tong Wu , Philippe Lalanne

Full-wave simulations are indispensable for nanophotonics and electromagnetics but are severely constrained on large systems, especially multi-channel ones such as disordered media, aperiodic metasurfaces, and densely packed photonic…

Optics · Physics 2022-12-21 Ho-Chun Lin , Zeyu Wang , Chia Wei Hsu

Efficient modeling of dispersive materials via time-domain simulations of the Maxwell equations relies on the technique of auxiliary differential equations. In this approach, a material's frequency-dependent permittivity is represented via…

The collective motion of a finite nuclear system is investigated by numerical simulation and by linear response theory. Using a pseudo-particle simulation technique we analyze the giant resonances with a multipole decomposition scheme. We…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz , Uwe Fuhrmann , Rainer Walke
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