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We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

Myelinated neurons are characterized by the presence of myelin, a multilaminated wrapping around the axons formed by specialized neuroglial cells. Myelin acts as an electrical insulator and therefore, in myelinated neurons, the action…

Neurons and Cognition · Quantitative Biology 2020-09-17 Corina S. Drapaca , Sahin Ozdemir , Elizabeth A. Proctor

Optical propagation and vortices in nonlinear media have been intensively studied in modern optical physics. In this paper, we establish constraints regarding the propagation constant and provide an existence theory and numerical…

Analysis of PDEs · Mathematics 2023-05-23 Tianyi Zhang , Luciano Medina , Zihan Zhang

Exceptional points with coalescence of eigenvalues and eigenvectors are spectral singularities in the parameter space, achieving which often needs fine-tuning of parameters in quantum systems. We predict a \textit{persistent} realization of…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Zhuolun Qiu , Xi-Han Zhou , Hanchen Wang , Guang Yang , Tao Yu

By constructing the general six-parameter bright two-soliton solution of the integrable coupled nonlinear Schrodinger equation (Manakov model) using the Hirota method, we find that the solitons exhibit certain novel inelastic collision…

solv-int · Physics 2009-10-30 R. Radhakrishnan , M. Lakshmanan , J. Hietarinta

We numerically investigate azimuthal modulation instability in an optical fiber supporting orbital angular momentum modes only, i.e. a vortex fiber, by means of the scalar multimode unidirectional pulse propagation equation. We demonstrate…

Optics · Physics 2024-03-12 Bertrand Kibler , Pierre Béjot

We proposed the method of the optical fiber modal decomposition of the radiation propagating in a multimode optical fiber with a step like refractive index profile. The field distribution at the output end of the fiber was used. The method…

Optics · Physics 2013-07-15 M. V. Bolshakov , M. A. Komarova , N. D. Kundikova

Spatiotemporal solitons (STSs) are localized solitary waves in both space and time that involve complex linear and nonlinear processes. Optical STSs have been observed in various media, but they are difficult to be realized in multimode…

Pattern Formation and Solitons · Physics 2016-07-20 Yao Wang , Shuo Yan , Jianqiu Xu , Yulong Tang

We present an experiment that probes polariton quantum correlations by exploiting quantum complementarity. Specifically, we find that polaritons in two distinct idler-modes interfere if and only if they share the same signal-mode so that…

Other Condensed Matter · Physics 2015-05-05 Salvatore Savasta , Omar Di Stefano , Vincenzo Savona , Wolfgang Langbein

We derive general coupled-mode equations describing the nonlinear interaction of electromagnetic modes in media with loss and gain. Our approach is rigorously based on the Lorentz reciprocity theorem, and it can be applied to a broad range…

We report the generation of multimode solitons in step-index fiber. The solitons are superpositions of 5-10 temporally-aligned transverse modes, they exhibit speckled beam profiles, and the spatio-spectral variation across the soliton can…

Nanomechanical and other mesoscopic vibrational systems typically have several nonlinearly coupled modes with different frequencies and with long lifetime. We consider the power spectrum of one of these modes. Thermal fluctuations of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yaxing Zhang , M. I. Dykman

We report on the linear polarization of polariton condensates in a codirectional coupler that allows evanescent coupling between adjacent waveguides. We observe polarization-dependent intensity oscillations in the output terminal of the…

We study existence, stability, and dynamics of linear and nonlinear stationary modes propagating in radially symmetric multi-core waveguides with balanced gain and loss. We demonstrate that, in general, the system can be reduced to an…

In this work, we present a thorough analysis of the propagation of fiber modes carrying orbital angular momentum in twisted, tapered, ring-core optical fibers. In particular, by generalizing the usual coupled-mode approach to include the…

Optics · Physics 2025-10-01 Hassan Asgharzadeh B. , Regina Gumenyuk , Marco Ornigotti

We develop a spatiotemporal mode decomposition technique to study the mode power distribution of ultrashort pulses emerging from long spans of graded-index multimode fiber, for different input laser conditions. We find that beam mode power…

A simple approach to the many-polaron problem for both weak and intermediate electron-phonon coupling and valid for densities much smaller than those typical of metals is presented. Within the model the total energy, the collective modes…

Condensed Matter · Physics 2009-10-31 G. De Filippis , V. Cataudella , G. Iadonisi

We investigate the stability of $N$-soliton molecules in dispersion-managed optical fibers with focus on the recently realized 2- and 3-soliton molecules. We calculate their binding energy using an averaged nonlinear Schr$\rm{\ddot…

Pattern Formation and Solitons · Physics 2013-10-22 Abdelâali Boudjemâa , U. Al Khawaja

Optical microcavities supporting exciton-polariton quasi-particles offer one of the most powerful platforms for investigation of rapidly developing area of topological photonics in general, and of photonic topological insulators in…

Optics · Physics 2016-10-25 Yaroslav V. Kartashov , Dmitry V. Skryabin

In this paper, the unidirectional pulse propagation equation generalized to structured media is derived. A fast modal transform linking the spatio-temporal representation of the field and its modal distribution is presented. This transform…

Optics · Physics 2019-03-27 P. Béjot