Results 71 to 80 of about 2,910,723 (266)
Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li +6 more
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Discrete localized modes supported by an inhomogeneous defocusing nonlinearity
We report that infinite and semi-infinite lattices with spatially inhomogeneous self-defocusing (SDF)\ onsite nonlinearity, whose strength increases rapidly enough toward the lattice periphery, support stable unstaggered (UnST) discrete bright solitons ...
Gligoric, Goran +3 more
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Formation of Optical Fractals by Chaotic Solitons in Coupled Nonlinear Helmholtz Equations
In the present research work, we construct and examine the self-similarity of optical solitons by employing the Riccati Modified Extended Simple Equation Method (RMESEM) within the framework of non-integrable Coupled Nonlinear Helmholtz Equations (CNHEs).
M. Mossa Al-Sawalha +4 more
doaj +1 more source
Pulse Generation by On‐Chip Dispersion Compensation at 8 µm Wavelength
This work demonstrates on‐chip pulse generation at 8 μm$\mathrm{\mu}\mathrm{m}$ using chirped Bragg gratings in SiGe graded‐index photonic circuits to compensate the quadratic phase of quantum cascade laser frequency combs. With this approach pulses as short as 1.39 ps were produced, close to the transform limit, representing a key step toward compact,
Annabelle Bricout +17 more
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Spatial semiconductor-resonator solitons
We demonstrate experimentally and numerically the existence spatial solitons in multiple-quantum-well semiconductor microresonators driven by an external coherent optical field.
Taranenko, V. B., Weiss, C. O.
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The article discusses how Kudryashov's proposed self-phase modulation scheme and nonlinear chromatic dispersion cause the evolution of quiescent optical solitons in magneto-optic waveguides.
Elsayed M.E. Zayed +8 more
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Accelerated nonlinear interactions in graded-index multimode fibers
Multimode optical fibers can be used to observe complex intermodal processes like optical solitons. Here, Eftekhar et al. study accelerated nonlinear interaction in multimode fibers with a tapered core diameter and its effect on the temporal and spectral
M. A. Eftekhar +8 more
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Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index
The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Ahmed H. Arnous +5 more
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The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng +7 more
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