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Filtered shot noise processes have proven to be very effective in modelling the evolution of systems exposed to stochastic shot noise sources, and have been applied to a wide variety of fields ranging from electronics through biology. In…

Neurons and Cognition · Quantitative Biology 2015-09-15 Marco Brigham , Alain Destexhe

The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum…

Quantum Physics · Physics 2023-07-12 Edwin Ng , Ryotatsu Yanagimoto , Marc Jankowski , M. M. Fejer , Hideo Mabuchi

A closed-form model for the nonlinear interference (NLI) in Raman amplified links is presented, the formula accounts for both forward (FW) and backward (BW) pumping schemes and inter-channel stimulated Raman scattering (ISRS) effect. The…

Signal Processing · Electrical Eng. & Systems 2023-11-30 H. Buglia , M. Jarmolovicius , L. Galdino , R. I. Killey , P. Bayvel

The increasing complexity of neural networks and the energy consumption associated with training and inference create a need for alternative neuromorphic approaches, e.g. using optics. Current proposals and implementations rely on physical…

Optics · Physics 2023-08-31 Clara C. Wanjura , Florian Marquardt

The interplay of such cornerstones of modern nonlinear fiber optics as a nonlinearity, stochasticity and polarization leads to variety of the noise induced instabilities including polarization attraction and escape phenomena harnessing of…

We study the effects of noise on stationary pulse solutions (bumps) in spatially extended neural fields. The dynamics of a neural field is described by an integrodifferential equation whose integral term characterizes synaptic interactions…

Pattern Formation and Solitons · Physics 2012-05-15 Zachary P. Kilpatrick , Bard Ermentrout

We model the process of ultra broadband light generation in which a pair of laser pulses separated by the Raman frequency drive a Raman transition. In contrast to the usual approach using separate field envelopes for the different frequency…

Optics · Physics 2008-07-24 P. Kinsler , G. H. C. New

Extensive numerical simulations were performed to investigate all stages of modulation instability development from the initial pulse of pico-second duration in photonic crystal fiber: quasi-solitons and dispersive waves formation, their…

Pattern Formation and Solitons · Physics 2015-05-18 Dmitry Agafontsev

The development of fault-tolerant quantum processors relies on the ability to control noise. A particularly insidious form of noise is temporally correlated or non-Markovian noise. By combining randomized benchmarking with supervised…

We analyse Raman-induced self-frequency shift in two-component solitons supported by both quadratic and cubic nonlinearities. Treating Raman terms as a perturbation, we derive expressions for soliton velocity and frequency shifts of the…

Optics · Physics 2020-08-26 William R. Rowe , Dmitry V. Skryabin , Andrey V. Gorbach

We used various analytical and numerical techniques to elucidate signal propagation in a small enzymatic cascade which is subjected to external and internal noise. The nonlinear character of catalytic reactions, which underlie protein…

Molecular Networks · Quantitative Biology 2009-11-13 Yueheng Lan , Garegin A. Papoian

We interpret the purely spectral forward Maxwell equation with up to 3${^{\rm rd}}$ order induced polarizations for pulse propagation and interactions in quadratic nonlinear crystals. The interpreted equation, also named nonlinear wave…

Optics · Physics 2015-06-11 Hairun Guo , Xianglong Zeng , Binbin Zhou , Morten Bache

Stimulated Raman scattering (SRS) in its strongly nonlinear, kinetic regime is controlled by a technique of deterministic, strong temporal modulation and spatial scrambling of laser speckle patterns, called Spike Trains of Uneven Duration…

Plasma Physics · Physics 2015-06-15 B. J. Albright , L. Yin , B. Afeyan

Fiber nonlinearities, that lead to nonlinear signal interference (NLI), are typically regarded as an instantaneous material response with respect to the optical field. However, in addition to an instantaneous part, the nonlinear fiber…

Signal Processing · Electrical Eng. & Systems 2021-04-07 Daniel Semrau , Eric Sillekens , Robert I. Killey , Polina Bayvel

We revisit laser intensity noise in the context of stimulated Raman scattering (SRS), which has recently proved to be a key technique to provide label free images of chemical bonds in biological and medical samples. Contrary to most…

Instrumentation and Detectors · Physics 2019-10-29 Xavier Audier , Sandro Heuke , Peter Volz , Ingo Rimke , Hervé Rigneault

The present paper develops recursive algorithms to track shifts in the resonance frequency of linear systems in real time. To date, automatic resonance tracking has been limited to non-model-based approaches, which rely solely on the phase…

Optimization and Control · Mathematics 2020-12-22 Thomas Vasileiou

Propagation of light in a highly scattering medium is among the most fascinating optical effect that everyone experiences on an everyday basis and possesses a number of fundamental problems which have yet to be solved. Conventional wisdom…

Accurate noise modelling is important for training of deep learning reconstruction algorithms. While noise models are well known for traditional imaging techniques, the noise distribution of a novel sensor may be difficult to determine a…

Machine Learning · Computer Science 2018-07-11 Felix Horger , Tobias Würfl , Vincent Christlein , Andreas Maier

The dynamics of a soliton propagating in a single-mode optical fiber with gain, loss, and Raman coupling to thermal phonons is analyzed. Using both soliton perturbation theory and exact numerical techniques, we predict that intrinsic…

Quantum Physics · Physics 2007-05-23 J. F. Corney , P. D. Drummond

Spin noise spectroscopy (SNS) is a new method for studying magnetic resonance and spin dynamics based on measuring the Faraday rotation noise. In strong contrast with methods of nonlinear optics, the spectroscopy of spin noise is considered…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 M. M. Glazov , V. S. Zapasskii