scholarly journals The excitation of nonlinear beams: from the Talbot effect through modulation instability to Akhmediev breathers

2021 ◽  
Author(s):  
Roland Schiek
Keyword(s):  
Modulation Instability ◽  
Talbot Effect ◽  
Nonlinear Beams

Nonlinear Pulse Propagation and Modulation Instability in Periodic Media with and without Defects

PIERS Online ◽  
2006 ◽  
Vol 2 (2) ◽  
pp. 177-181
Author(s):  
V. Grimalsky ◽  
Svetlana Koshevaya ◽  
Javier Sanchez-Mondragon ◽  
Margarita Tecpoyotl Torres ◽  
J. Escobedo Alatorre
Keyword(s):  
Pulse Propagation ◽  
Modulation Instability ◽  
Periodic Media ◽  
Nonlinear Pulse Propagation

Modulation instability in nonlinear chiral fiber

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Demissie Jobir Gelmecha ◽  
Ram Sewak Singh
Keyword(s):  
Theoretical Model ◽  
Numerical Simulations ◽  
Pulse Propagation ◽  
Modulation Instability ◽  
Constitutive Relations ◽  
Gain Spectrum ◽  
Circularly Polarized ◽  
Left Handed ◽  
Simulation Results ◽  
The Difference

AbstractIn this paper, the rigorous derivations of generalized coupled chiral nonlinear Schrödinger equations (CCNLSEs) and their modulation instability analysis have been explored theoretically and computationally. With the consideration of Maxwell’s equations and Post’s constitutive relations, a generalized CCNLSE has been derived, which describes the evolution of left-handed circularly polarized (LCP) and right-handed circularly polarized (RCP) components propagating through single-core nonlinear chiral fiber. The analysis of modulation instability in nonlinear chiral fiber has been investigated starting from CCNLSEs. Based on a theoretical model and numerical simulations, the difference on the modulation instability gain spectrum in LCP and RCP components through chiral fiber has been analyzed by considering loss and chirality into account. The obtained simulation results have shown that the loss distorts the sidebands of the modulation instability gain spectrum, while chirality modulates the gain for LCP and RCP components in a different manner. This suggests that adjusting chirality strength may control the loss, and nonlinearity simultaneously provides stable modulated pulse propagation.

Rogue waves and modulation instability in an extended Manakov system

2020 ◽  
Vol 102 (3) ◽  
pp. 1801-1812 ◽  
Author(s):  
Yanlin Ye ◽  
Jia Liu ◽  
Lili Bu ◽  
Changchang Pan ◽  
Shihua Chen ◽  
...  
Keyword(s):  
Modulation Instability ◽  
Rogue Waves

Talbot effect in selfoc microlens: application in manufacturing

2005 ◽  
Vol 7 (7) ◽  
pp. 286-289 ◽  
Author(s):  
M V Pérez ◽  
C Bao ◽  
M T Flores-Arias ◽  
A Castelo ◽  
C Gómez-Reino
Keyword(s):  
Talbot Effect
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