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The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

The quest to explore new techniques for the manipulation of topological states simultaneously promotes a deeper understanding of topological physics, and is essential in identifying new ways to harness their unique features. Here, we…

Three aspects of applying homotopy continuation, which is commonly used to solve parameterized systems of polynomial equations, are investigated. First, for parameterized systems which are homogeneous, we investigate options for performing…

Numerical Analysis · Mathematics 2017-10-18 Jonathan D. Hauenstein , Margaret H. Regan

Single-mode operation is a desirable but elusive property for lasers operating at high pump powers. Typically, single-mode lasing is attainable close to threshold, but increasing the pump power gives rise to multiple lasing peaks due to…

Optics · Physics 2022-08-02 B. F. Zhu , Q. Wang , D. Leykam , H. R. Xue , Q. J. Wang , Y. D. Chong

In this paper, a novel learning paradigm is presented to automatically identify groups of informative and correlated features from very high dimensions. Specifically, we explicitly incorporate correlation measures as constraints and then…

Machine Learning · Computer Science 2012-07-03 Yiteng Zhai , Mingkui Tan , Ivor Tsang , Yew Soon Ong

A novel scheme for tunable optofluidic optical coupler is proposed, by using directional coupling waveguide structure and microfluidic channel with two tapers at end points. The normalized optical power at two output ports can be…

Applied Physics · Physics 2019-10-01 Xionggui Tang , Fang Meng

Loss compensation via inserting gain is of fundamental importance in different branches of photonics, nanoplasmonics, and metamaterial science. This effect has found an impressive implementation in the parity-time symmetric (PT-symmetric)…

We present a model to describe the spatiotemporal evolution of guided modes in semiconductor nanowires based on a coupled mode formalism. Light-matter interaction is modelled based on semiconductor Bloch equations, including many-particle…

Optics · Physics 2017-04-05 Robert Buschlinger , Michael Lorke , Ulf Peschel

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

We theoretically propose a synthetic frequency dimension scheme to control the spectrum of a light beam propagating through an array of evanescently coupled waveguides modulated in time by a propagating sound wave via the acousto-optical…

Optics · Physics 2022-06-01 Francesco S. Piccioli , Alexander Szameit , Iacopo Carusotto

Four-wave mixing has extensively been investigated for various applications such as communications, spectroscopy, metrology, quantum computing and bio-imaging. However, there is a clear desire to implement these functionalities in a small…

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

The concept of supersymmetry developed in particle physics has been applied to various fields of modern physics. In quantum mechanics, the supersymmetric systems refer to the systems involving two supersymmetric partner Hamiltonians, whose…

An analytical method is presented for designing N-coupled multi-core fibers with zero differential group delay. This approach effectively reduces the problem to a system of N-1 algebraic equations involving the associated coupling…

We propose a self-supervised approach for learning physics-based subspaces for real-time simulation. Existing learning-based methods construct subspaces by approximating pre-defined simulation data in a purely geometric way. However, this…

Machine Learning · Computer Science 2024-04-30 Jiahong Wang , Yinwei Du , Stelian Coros , Bernhard Thomaszewski

We studied experimentally and theoretically the interaction of lasing modes in random media. In a homogeneously broadened gain medium, cross gain saturation leads to spatial repulsion of lasing modes. In an inhomogeneously broadened gain…

Disordered Systems and Neural Networks · Physics 2009-11-10 H. Cao , Xunya Jiang , Y. Ling , J. Y. Xu , C. M. Soukoulis

Near-field coupling between nanolasers enables collective high-power lasing but leads to complex spectral reshaping and multimode operation, limiting the emission brightness, spatial coherence and temporal stability. Many lasing…

Bosonic systems, particularly in quantum optics and atomic physics, are leading platforms for achieving quantum enhanced precision in parameter estimation. By exploiting properties such as mode and particle entanglement, it is possible to…

Quantum Physics · Physics 2026-02-19 Astghik Saharyan , Eloi Descamps , Arne Keller , Pérola Milman

Optical fiber Fabry-Perot cavities have been a development facilitating the efficient integration of high-finesse cavities into fiber-optic assemblies. In this work, we demonstrate coupling of two high-finesse fiber cavities by direct…

Coupled-mode theory (CMT) is a powerful tool for simulating near-harmonic systems. In telecommunications, variations of the theory have been used extensively to study waveguides, both analytically and through numerical modelling. Analogous…

Instrumentation and Methods for Astrophysics · Physics 2024-12-11 Jonathan Lin