Modelling Axi-symmetric Travelling Waves in a Dielectric with Nonlinear Refractive Index
نویسندگان
چکیده
منابع مشابه
Highly symmetric travelling waves in pipe flow.
The recent theoretical discovery of finite-amplitude travelling waves (TWs) in pipe flow has reignited interest in the transitional phenomena that Osborne Reynolds studied 125 years ago. Despite all being unstable, these waves are providing fresh insight into the flow dynamics. We describe two new classes of TWs, which, while possessing more restrictive symmetries than previously found TWs of F...
متن کاملTravelling waves in nonlinear diffusion-convection-reaction
The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral equation. This article is devoted to demonstrating how this c...
متن کاملTravelling Waves in Nonlinear Magnetic Metamaterials
In this article, a model of one-dimensional metamaterial formed by a discrete array of nonlinear resonators is considered. The existence and uniqueness results of periodic and asymptotic travelling waves of the system are presented. The existence and the stability of asymptotic waves are also computed and discussed numerically. J. Diblík Department of Mathematics, Faculty of Electrical Engineer...
متن کاملReflection from a Flat Dielectric Film with Negative Refractive Index
We analyse the reflection of a TM electromagnetic field first on a flat dielectric film and second on a Veselago film with negative refractive index, both films being deposited on a metallic substrat acting as a mirror. An incident harmonic plane wave generates inside a conventional dielectric film a refracted propagating wave and an evanescent wave that does not contribute to reflection on the...
متن کاملPropagation of Axi-Symmetric Nonlinear Shallow Water Waves over Slowly Varying Depth
A problem in nonlinear water-wave propagation on the surface of an inviscid, stationary fluid is presented. The primary surface wave, suitably initiated at some radius, is taken to be a slowly evolving nonlinear cylindrical wave (governed by an appropriate Korteweg-de Vries equation); the depth is assumed to be varying in a purely radial direction. We consider a sech profile at an initial radiu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Milan Journal of Mathematics
سال: 2004
ISSN: 1424-9286,1424-9294
DOI: 10.1007/s00032-004-0035-4