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We revisit the problem of modulation instability (MI) in optical fibers, including higher-order dispersion terms, self-steepening, and Raman response. We derive expressions for the MI gain and use them to explore the role of self-steepening…

Modelling ultra-low-noise far-infrared grating spectrometers has become crucial for the next generation of far-infrared space observatories. Conventional techniques are awkward to apply because of the partially coherent form of the incident…

Instrumentation and Methods for Astrophysics · Physics 2022-06-29 B. N. R. Lap , S. Withington , W. Jellema , D. A. Naylor

In this article we provide a method for establishing operator-type error estimates between solutions to rapidly oscillating evolutionary equations and their homogenised counter parts. This method is exemplified by applications to the wave,…

Analysis of PDEs · Mathematics 2024-07-18 Shane Cooper , Imane Essadeq , Marcus Waurick

We study modulational instability in a dispersion-managed system where the sign of the group-velocity dispersion is changed at uniformly distributed random distances around a reference length. An analytical technique is presented to…

In this letter, the impact of pump configuration on the modal instabilities (MI) threshold of high power fiber amplifiers is investigated. Using a time dependent computer model based on the optical beam propagation method (BPM), the effect…

Stabilizing the gain of a radio astronomy receiver is of great importance for sensitive radio intensity mapping. In this paper we discuss a stabilization method using a continuous-wave reference signal injected into the signal chain and…

Instrumentation and Methods for Astrophysics · Physics 2019-08-21 Alexander W. Pollak , Christian M. Holler , Michael E. Jones , Angela C. Taylor

We investigate a heating phenomenon in periodically driven integrable systems that can be mapped to free-fermion models. We find that heating to the high-temperature state, which is a typical scenario in non-integrable systems, can also…

Statistical Mechanics · Physics 2018-06-05 Takashi Ishii , Tomotaka Kuwahara , Takashi Mori , Naomichi Hatano

We report a detailed formalism aimed at the thermal modeling and heat mitigation in high-power double-clad fiber amplifiers. Closed form analytical formulas are developed that take into account the spatial profile of the amplified signal…

Applied Physics · Physics 2018-09-28 Esmaeil Mobini , Mostafa Peysokhan , Behnam Abaie , Arash Mafi

High-gain Free Electron Laser (FEL) is one of the many electron-beam instabilities that have a number of common features linking the shot noise, the amplification and the saturation. In this paper, we present a new, model-independent…

Accelerator Physics · Physics 2015-05-19 Yichao Jing , Vladimir N. Litvinenko , Yue Hao , Gang Wang

The amplitude equation of Gierer-Mainhardt model has been actually derived near the boundary abuot which Turing and Hopf modes exist. In a parameter region where Hopf-Turing mixed mode solution is stable, a chaotic state that generally…

Pattern Formation and Solitons · Physics 2007-05-23 A. Bhattacharyay

A grid-feeding converter system is added to a novel power system transient simulation scheme based on frequency response optimized integrators considering second order derivative. The converter system and its implementation in the…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sheng Lei , Alexander Flueck

A dynamic linear thermo-poroelasticity model, containing inertial and relaxation terms with second-order time derivatives, is investigated in this paper. The mathematical and numerical analysis of this model is performed in the frequency…

Numerical Analysis · Mathematics 2025-11-25 Hongpeng Li , Cristian Carcamo , Hongxing Rui , Volker John

The methodology for a heterodyned laser-induced transient thermal grating technique for non-contact, non-destructive measurements of thermal transport in opaque material is presented. Phase-controlled heterodyne detection allows us to…

We discuss the influence of external forces on the motion of the tip in dynamic atomic force microscopy (AFM). First, a compact solution for the steady-state problem is derived employing a Fourier approach. Founding on this solution, we…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Tino Wagner

Accurately predicting nonlinear transient thermal fields in two-dimensional domains is a significant challenge in various engineering fields, where conventional analytical and numerical methods struggle to balance physical fidelity with…

Computational Physics · Physics 2025-04-07 Ze Tao , Fujun Liu , Jinhua Li , Guibo Chen

A multimode optical fiber with a truncated transverse cross section acts as a powerful versatile support to investigate the wave features of complex ray dynamics. In this paper, we concentrate on the case of a geometry inducing a mixed…

Optics · Physics 2016-03-23 Claire Michel , Markus Allgaier , Valérie Doya

When a stable ordered phase and a metastable disordered phase are separated by a flat interface, the metastable state changes to the stable state through the propagation of the interface. For cases in which latent heat is generated, the…

Statistical Mechanics · Physics 2021-10-27 Mao Hiraizumi , Shin-ichi Sasa

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

Systems and Control · Electrical Eng. & Systems 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

Optical thermodynamic theory is extended to low-power multimode fiber systems to characterize with simple thermodynamic models the complex scenario of power exchange induced by random mode coupling between propagating modes. It is…

Optics · Physics 2024-09-30 Mario Zitelli

We investigate the steady-state solution and its bifurcations in time-delay systems with band-limited feedback. This is a first step in a rigorous study concerning the effects of AC-coupled components in nonlinear devices with time-delayed…

Chaotic Dynamics · Physics 2009-11-11 Lucas Illing , Daniel J. Gauthier
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