Local Probing of Higher-Order Dispersion in Photonic Crystal Waveguides

2006 ◽  
Author(s):  
R. P. Engelen ◽  
Y. Sugimoto ◽  
Y. Watanabe ◽  
J. Korterik ◽  
N. Ikeda ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Higher Order ◽  
Photonic Crystal Waveguides ◽  
Higher Order Dispersion ◽  
Order Dispersion

scholarly journals The effect of higher-order dispersion on slow light propagation in photonic crystal waveguides

2006 ◽  
Vol 14 (4) ◽  
pp. 1658 ◽  
Author(s):  
R.J.P. Engelen ◽  
Y. Sugimoto ◽  
Y. Watanabe ◽  
J.P. Korterik ◽  
N. Ikeda ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Light Propagation ◽  
Slow Light ◽  
Higher Order ◽  
Photonic Crystal Waveguides ◽  
Higher Order Dispersion ◽  
Order Dispersion

Higher-order dispersion terms of a photonic crystal fiber with hexagonal holes

2011 ◽  
Author(s):  
Y. Márquez-Barrios ◽  
I. Torres-Gómez ◽  
N. Arzate ◽  
A. Martínez-Ríos ◽  
G. Ramos-Ortiz
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystal Fiber ◽  
Higher Order ◽  
Crystal Fiber ◽  
Dispersion Terms ◽  
Higher Order Dispersion ◽  
Order Dispersion

Calculation of higher order dispersion coefficients in photonic crystal fibers

2011 ◽  
Author(s):  
A. Martínez-Rios ◽  
Boaz Ilan ◽  
I. Torres-Gómez ◽  
D. Monzon-Hernandez ◽  
D. E. Ceballos-Herrera
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystal Fibers ◽  
Higher Order ◽  
Dispersion Coefficients ◽  
Crystal Fibers ◽  
Higher Order Dispersion ◽  
Order Dispersion

scholarly journals Brownian Swarm Dynamics and Burgers’ Equation with Higher Order Dispersion

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 57
Author(s):  
Max-Olivier Hongler
Keyword(s):  
Burgers Equation ◽  
Higher Order ◽  
Underlying Structure ◽  
Swarm Dynamics ◽  
Special Cases ◽  
Kink Waves ◽  
Systematic Derivation ◽  
Fifth Order ◽  
Higher Order Dispersion ◽  
Order Dispersion

The concept of ranked order probability distribution unveils natural probabilistic interpretations for the kink waves (and hence the solitons) solving higher order dispersive Burgers’ type PDEs. Thanks to this underlying structure, it is possible to propose a systematic derivation of exact solutions for PDEs with a quadratic nonlinearity of the Burgers’ type but with arbitrary dispersive orders. As illustrations, we revisit the dissipative Kotrweg de Vries, Kuramoto-Sivashinski, and Kawahara equations (involving third, fourth, and fifth order dispersion dynamics), which in this context appear to be nothing but the simplest special cases of this infinitely rich class of nonlinear evolutions.

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