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The statistical properties of nonlinear phase noise, often called the Gordon-Mollenauer effect, is studied analytically when the number of fiber spans is very large. The joint characteristic functions of the nonlinear phase noise with…

Optics · Physics 2007-05-23 Keang-Po Ho

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

Disordered Systems and Neural Networks · Physics 2009-10-31 Esteban Moro , Angel Sanchez

The non-stationary nonlinear models of magnetostatic waves propagation in layered ferromagnetic structures are developed. This models are based on use of the coupled nonlinear Schrodinger equations for amplitude of a bending around taking…

Classical Physics · Physics 2007-05-23 M. A. Malugina , Yu. P. Sharaevsky

Higher-order solitons inherently possess a spatial periodicity along the propagation axis. The pulse expands and compresses in both, frequency and time domain. This property is exploited for a bandwidth-limited receiver by sampling the…

Signal Processing · Electrical Eng. & Systems 2023-04-13 Sebastian Jung , Tim Uhlemann , Alexander Span , Maximilian Bauhofer , Stephan ten Brink

Stimulated Brillouin scattering (SBS), an optical nonlinearity arising from photon-phonon interactions, has formed the basis for a large class of optical signal processing devices, including Brillouin amplifiers. A limiting factor of such…

The interference of fluorescence signals and noise remains a significant challenge in Raman spectrum analysis, often obscuring subtle spectral features that are critical for accurate analysis. Inspired by variational methods similar to…

Image and Video Processing · Electrical Eng. & Systems 2025-12-08 Nelson H. T. Lemes , José Claudinei Ferreira , Higor V. M. Ferreira

We derive the ultimate bounds on the performance of nonlinear measurement schemes in the presence of noise. In particular, we investigate the precision of the second-order estimation scheme in the presence of the two most detrimental types…

Quantum Physics · Physics 2014-02-17 Marcin Zwierz , Howard M. Wiseman

We use dispersive Fourier transformation to measure shot-to-shot spectral instabilities in femtosecond supercontinuum generation. We study both the onset phase of supercontinuum generation with distinct dispersive wave generation, as well…

Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance,…

Quantitative Methods · Quantitative Biology 2015-06-17 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

Nonlinear optical wave propagation manifests in a multitude of frequencies generated from quantum-noise, and selecting desired nonlinear products usually requires seeding the medium with extraneous waves, employing spatial or spectral…

Optics · Physics 2019-03-06 Lars Rishøj , Boyin Tai , Poul Kristensen , Siddharth Ramachandran

We investigate the phase interference effects in the nonlinear Compton scattering via the collision between an high-energy electron and the laser in the intermediate intensity region, and reveal that the importance of interference effects…

High Energy Physics - Phenomenology · Physics 2025-09-15 Zu-dong Zhao , Suo Tang

Nonlinear phononics relies on the resonant optical excitation of infrared-active lattice vibrations to coherently induce targeted structural deformations in solids. This form of dynamical crystal-structure design has been applied to control…

Applied Physics · Physics 2021-05-19 Meredith Henstridge , Michael Först , Edward Rowe , Michael Fechner , Andrea Cavalleri

Self-phase modulation induced nonlinear phase noise is reduced with the increase of fiber dispersion but intrachannel four-wave-mixing (IFWM) is increased with dispersion. Both degrading DPSK signals, the standard deviation of nonlinear…

Optics · Physics 2013-01-15 Keang-Po Ho , Hsi-Cheng Wang

Addressing the optical communication systems employing the nonlinear Fourier transform (NFT) for the data modulation/demodulation, we provide an explicit proof for the properties of the signals emerging in the so-called b-modulation method,…

Exactly Solvable and Integrable Systems · Physics 2020-01-28 Dmitry Shepelsky , Anastasiia Vasylchenkova , Jaroslaw E. Prilepsky , Iryna Karpenko

Nonlinear radio waves modulate the plasma, scatter on the modulations, and develop an intermittent power spectrum -- perhaps. Rudiments of theory, numerical simulations, and qualitative modeling of nonlinear scattering are presented.…

High Energy Astrophysical Phenomena · Physics 2020-02-10 Andrei Gruzinov

The current noise in a multi-probe mesoscopic conductor can have a nonlinear dependence on the strength of driving bias voltage. This paper presents a theoretical formulation for the nonlinear noise spectra. We pay special attention to…

Condensed Matter · Physics 2009-10-31 Yadong Wei , Baigeng Wang , Jian Wang , Hong Guo

In this Letter we analyze the benefit of digital compensation of fiber nonlinearity, where the digital signal processing is divided between the transmitter and receiver. The application of the Gaussian noise model indicates that, where…

The nonlinear interaction of light in an optical fibre can mimic the physics at an event horizon. This analogue arises when a weak probe wave is unable to pass through an intense soliton, despite propagating at a different velocity. To…

We study the properties of nonlinear interference noise (NLIN) in fiber-optic communications systems with large accumulated dispersion. Our focus is on settling the discrepancy between the results of the Gaussian noise (GN) model (according…

Optics · Physics 2015-06-16 Ronen Dar , Meir Feder , Antonio Mecozzi , Mark Shtaif

We show a non-negligible cross-talk between nonlinear modes in Nonlinear Frequency-Division Multiplexed system when data is modulated over the nonlinear Fourier spectrum, both the continuous spectrum and the discrete spectrum, and…

Signal Processing · Electrical Eng. & Systems 2018-01-03 Vahid Aref , Son T. Le , Henning Buelow