𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the limitations of the first-order nonlinear Schrödinger equation in slow-light photonic crystal structures

✍ Scribed by Lefevre, Yannick; Vermeulen, Nathalie; Sipe, J. E.; Thienpont, Hugo


Book ID
126904224
Publisher
Optical Society of America
Year
2014
Tongue
English
Weight
634 KB
Volume
31
Category
Article
ISSN
0740-3224

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Nonlinear Schrödinger Equations in the S
✍ M Nakamura; T Ozawa 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 310 KB

The Cauchy problem for the nonlinear Schro dinger equations is considered in the Sobolev space H nÂ2 (R n ) of critical order nÂ2, where the embedding into L (R n ) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the ex

On the Whitham equations for the semicla
✍ Fei-Ran Tian; Jian Ye 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 448 KB 👁 2 views

We study the Whitham equations, which describe the semiclassical limit of the defocusing nonlinear Schrödinger equation. The limit is governed by a pair of hyperbolic equations of two independent variables for a short time starting from the initial time. After this hyperbolic solution breaks down, t