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We consider the Rayleigh-Taylor problem for two compressible, immiscible, inviscid, barotropic fluids evolving with a free interface in the presence of a uniform gravitational field. After constructing Rayleigh-Taylor steady-state solutions…

Analysis of PDEs · Mathematics 2011-02-24 Yan Guo , Ian Tice

Topological edge zero modes and states of self stress have been intensively studied in discrete lattices at the Maxwell point, offering robust properties concerning surface and interface stiffness and stress focusing. In this paper we…

Materials Science · Physics 2020-05-27 Kai Sun , Xiaoming Mao

Two new approaches to solving first-order quasilinear elliptic systems of PDEs in many dimensions are proposed. The first method is based on an analysis of multimode solutions expressible in terms of Riemann invariants, based on links…

Mathematical Physics · Physics 2014-10-01 A. M. Grundland , V. Lamothe

Transverse Mode Instability (TMI) which results from dynamic nonlinear thermo-optical scattering is the primary limitation to power scaling in high-power fiber lasers and amplifiers. It has been proposed that TMI can be suppressed by…

Optics · Physics 2024-07-16 Kabish Wisal , Chun-Wei Chen , Hui Cao , A. Douglas Stone

A multi-cavity quantization scheme is developed using quasinormal modes (QNMs) of optical cavities embedded in a homogeneous background medium for cases where retardation is significant in the inter-cavity coupling. Using quantities that…

Mesoscale and Nanoscale Physics · Physics 2024-10-24 Robert Fuchs , Juanjuan Ren , Sebastian Franke , Stephen Hughes , Marten Richter

An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of well-known model equations: Stefan problem, porous media…

Analysis of PDEs · Mathematics 2015-12-01 Pierluigi Colli , Takeshi Fukao

We present a novel laser mode-locking scheme and discuss its unusual properties and feasibility using a theoretical model. A large set of single-frequency continuous-wave lasers oscillate by amplification in spatially separated gain media.…

In conventional lasers, the optical cavity that confines the photons also determines essential characteristics of the lasing modes such as wavelength, emission pattern, ... In random lasers, which do not have mirrors or a well-defined…

Disordered Systems and Neural Networks · Physics 2016-09-08 Jonathan Andreasen , Ara Asatryan , Lc Botten , Michael Byrne , Hui Cao , Li Ge , Laurent Labonté , Patrick Sebbah , A. D. Stone , Hakan Türeci , Christian Vanneste

We study a general theory of phonon lasing [I. S. Grudinin et al., Phys. Rev. Lett. 104, 083901 (2010)] in coupled optomechancial systems. We derive the dynamical equation of the phonon lasing using supermodes formed by two cavity modes. A…

Quantum Physics · Physics 2014-11-13 Hui Wang , Zhixin Wang , Jing Zhang , Sahin Kaya Ozdemir , Lan Yang , Yu-xi Liu

This paper introduces a class of approximate transparent boundary conditions for the solution of Helmholtz-type resonance and scattering problems on unbounded domains. The computational domain is assumed to be a polygon. A detailed…

Numerical Analysis · Mathematics 2010-04-08 Lothar Nannen , Achim Schädle

Multimode lasers have a very complex dynamics, as expected when oscillators are nonlinearly coupled. Order emerges when the modes lock together; in this case the coherent superposition of the modes results into a periodic train of pulses or…

A detailed experimental campaign is conducted to investigate the shear layer characteristics of an axisymmetric open cavity exposed to a Mach $6$ freestream. Experiments are performed in a Ludwieg tunnel for varying Reynolds numbers…

Fluid Dynamics · Physics 2026-02-20 Soumya R. Nanda , T. V. Krishna , S. K. Karthick , J. Cohen

Optical modes in anisotropic slab waveguides with topological and chiral magnetoelectric effects are investigated analytically, by deriving the closed-form characteristic equations of the modes and hence computing the dispersion-diagrams.…

Optics · Physics 2016-05-04 Nahid Talebi

We initiate the study of a duality theory which applies to norm inequalities for pointwise weighted geometric means of positive operators. The theory finds its expression in terms of certain pointwise factorisation properties of function…

Functional Analysis · Mathematics 2020-10-05 Anthony Carbery , Timo S. Hänninen , Stefán Ingi Valdimarsson

A new method for measuring the linewidth enhancement factor of a laser is proposed. It is based on frequency-modulated optical injection, combined with dual-frequency laser operation. The linewidth enhancement factor {\alpha} is deduced…

Optics · Physics 2017-04-05 Aurélien Thorette , Marco Romanelli , Marc Vallet

Conventional nano-photonic schemes minimise multiple scattering to realise a miniaturised version of beam-splitters, interferometers and optical cavities for light propagation and lasing. Here instead, we introduce a nanophotonic network…

Cavity optomechanics is a suitable field to explore quantum effects on macroscopic objects and develop quantum technology applications. A perfect control of the laser noise is required to operate the system in such extreme conditions…

We demonstrate a trade-off between linewidth and loss-of-lock frequency in a mode-locked laser employing active feedback to control the carrier-envelope offset phase difference. In frequency metrology applications, the linewidth translates…

Optics · Physics 2016-06-28 Richard O. Moore

High-power fiber laser amplifiers have enabled an increasing range of applications in industry, medicine and defense. The power scaling for narrow-band amplifiers is currently limited by the transverse modal instability. Various techniques…

Optics · Physics 2023-07-05 Chun-Wei Chen , Kabish Wisal , Yaniv Eliezer , A. Douglas Stone , Hui Cao

This work introduces a novel prescription for the expression of the thermodynamic potentials associated with the couplings of a Lanczos-Lovelock theory. These potentials emerge in theories with multiple couplings, where the ratio between…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Giulio Neri , Stefano Liberati