Results 71 to 80 of about 2,919,645 (262)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
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

Dipole-Mode Vector Solitons

, 1999
We find a new type of optical vector soliton that originates from trapping of a dipole mode by a soliton-induced waveguide. These solitons, which appear as a consequence of the vector nature of the two component system, are more stable than the ...
A. V. Buryak, A. V. Mamaev, D. N. Christodoulides, D. N. Christodoulides, E. A. Ostrovskaya, Elena A. Ostrovskaya, G. I. Stegeman, J. J. García-Ripoll, J. J. García-Ripoll, J. N. Malmberg, J. Williams, Juan J. García-Ripoll, M. Hoyuelos, M. Hoyuelos, M. R. Matthews, M. San Miguel, Th. Busch, V. A. Mironov, V. A. Mironov, V. D. Larichev, V. D. Larichev, V. I. Petviashvili, V. I. Petviashvili, Víctor M. Pérez-García, Yuri S. Kivshar, Z. Chen, Z. H. Musslimani   +26 more
core   +1 more source

Thirring Solitons in the presence of dispersion [PDF]

, 1997
The effect of dispersion or diffraction on zero-velocity solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes.
Champneys, Alan R, friedman, Mark J, Malomed, Boris A   +2 more
core   +2 more sources

Enhanced Nonlinear Optical Absorption Properties and Carrier Dynamics of Violet Phosphorene by Oxidation for Ultrafast Photonic Applications

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
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, Han Pan, Qingling Tang, Zhongben Pan, Hongwei Chu, Ying Li, Dechun Li   +6 more
wiley   +1 more source

Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices [PDF]

, 2006
We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky (GP) equation with a periodic potential, we employ an envelope wave ...
Chugunova, Marina, Pelinovsky, Dmitry E., Porter, Mason A.   +2 more
core   +2 more sources

Octave‐Spanning, Deterministic Single Soliton Generation in 4H‐Silicon Carbide‐On‐Insulator Microring Resonators

Laser &Photonics Reviews, EarlyView.
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, Liping Zhou, Chengli Wang, Yanjing Zhao, Ailun Yi, Kresten Yvind, Xin Ou, Minhao Pu   +7 more
wiley   +1 more source

Formation of Optical Fractals by Chaotic Solitons in Coupled Nonlinear Helmholtz Equations

Fractal and Fractional
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, Saima Noor, Mohammad Alqudah, Musaad S. Aldhabani, Rasool Shah   +4 more
doaj   +1 more source

Dissipative Kerr solitons in optical microresonators

, 2015
This chapter describes the discovery and stable generation of temporal dissipative Kerr solitons in continuous-wave (CW) laser driven optical microresonators.
Agha, Agha, Akhmediev, Anderson, Armani, Bao, Barashenkov, Boyd, Braginsky, Carmon, Carmon, Carmon, Chembo, Chembo, Chembo, Chembo, Coen, Cohen, Coillet, Cundiff, Del'Haye, Del'Haye, Del'Haye, Del'Haye, Del'Haye, Demchenko, Diddams, Dudley, Erkintalo, Erkintalo, Ferdous, Foster, Gorodetsky, Gorodetsky, Grudinin, Hansson, Hausmann, Herr, Herr, Herr, Ilchenko, Ilchenko, Ilchenko, Ilchenko, Jiang, Johnson, Jung, Kane, Kane, Kippenberg, Klyshko, Knight, Lamont, Leo, Levy, Li, Li, Lugiato, Matsko, Matsko, Matsko, Mertens, Moss, Murphy, Okawachi, Pfeifle, Ramond, Razzari, Reichert, Savchenkov, Savchenkov, Savchenkov, Savchenkov, Savchenkov, Spillane, Spillane, Steinmetz, Telle, Treussart, Turner, Udem, Wabnitz, Whitten, Zakharov   +83 more
core   +1 more source

Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics

Laser &Photonics Reviews, EarlyView.
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi, Daniele Bonaldo, Simone Dal Zilio, Vittorio Apolloni, Filippo Romanato, Gianluca Ruffato   +5 more
wiley   +1 more source

Quiescent Solitons in Magneto-Optic Waveguides with Nonlinear Chromatic Dispersion and Kudryashov’s Form of Self-Phase Modulation Having Generalized Temporal Evolution

East European Journal of Physics
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, Mona El–Shater, Ahmed H. Arnous, Omer Mohammed Khodayer Al-Dulaimi, Farag Mahel Mohammed, Ibrahim Zeghaiton Chaloob, O. González-Gaxiola, Anjan Biswas, Carmelia Mariana Balanica Dragomir   +8 more
doaj   +1 more source