Publication Date
2010
Journal or Book Title
PHYSICS LETTERS A
Abstract
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. Two short-pulse equations (SPEs) are derived for the high- and low-frequency “band gaps” (where linear electromagnetic waves are evanescent) with linear effective permittivity <0 and permeability μ>0. The structure of the solutions of the SPEs is also briefly discussed, and connections with the soliton solutions of the nonlinear Schrödinger equation are made.
Pages
1384-1388
Volume
374
Issue
11-12
Recommended Citation
Tsitsas, NL; Horikis, TR; Shen, Y; Kevrekidis, Panayotis; Whitaker, N; and Frantzeskakis, DJ, "Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials" (2010). PHYSICS LETTERS A. 490.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/490
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVM-4Y3TX5X-2&_user=1516330&_coverDate=03%2F01%2F2010&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1571009132&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=6550f1fa17edd44de1181bac57362430&searchtype=a