Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Dohnal, Tomáš"'
Autor:
Dohnal, Tomáš, He, Runan
Linear Maxwell equations for transverse magnetic (TM) polarized fields support single frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a dielectric. Metals are typically dispersive, i.e. the dielectric function de
Externí odkaz:
http://arxiv.org/abs/2311.17838
Publikováno v:
Nonlinearity (2024)
Traveling modulating pulse solutions consist of a small amplitude pulse-like envelope moving with a constant speed and modulating a harmonic carrier wave. Such solutions can be approximated by solitons of an effective nonlinear Schrodinger equation a
Externí odkaz:
http://arxiv.org/abs/2304.06214
In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polarization is in general time-delayed and nonlinear, turning the macrosco
Externí odkaz:
http://arxiv.org/abs/2301.10099
We study transverse magnetic (vector valued) wave-packets in the time dependent Kerr nonlinear Maxwell's equations at the interface of two inhomogeneous dielectrics with an instantaneous material response. The resulting model is quasilinear. The prob
Externí odkaz:
http://arxiv.org/abs/2206.03154
The paper determines and classifies the spectrum of a non-self-adjoint operator pencil generated by the time-harmonic Maxwell problem with a nonlinear dependence on the frequency for the case of two homogeneous materials joined at a planar interface.
Externí odkaz:
http://arxiv.org/abs/2206.02037
Autor:
Dohnal, Tomáš, He, Runan
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
Maxwell equations in the absence of free charges require initial data with a divergence free displacement field $\mathcal D$. In materials in which the dependence $\mathcal D=\mathcal D(\mathcal E)$ is nonlinear the quasilinear problem $\nabla\cdot\m
Externí odkaz:
http://arxiv.org/abs/2109.08513
Publikováno v:
In Journal of Differential Equations 25 February 2024 383:24-77
Autor:
Dohnal, Tomáš, Romani, Giulio
In periodic media gap solitons with frequencies inside a spectral gap but close to a spectral band can be formally approximated by a slowly varying envelope ansatz. The ansatz is based on the linear Bloch waves at the edge of the band and on effectiv
Externí odkaz:
http://arxiv.org/abs/2010.03473
Autor:
Dohnal, Tomáš, Romani, Giulio
We consider a class of generally non-self-adjoint eigenvalue problems which are nonlinear in the solution as well as in the eigenvalue parameter ("doubly" nonlinear). We prove a bifurcation result from simple isolated eigenvalues of the linear proble
Externí odkaz:
http://arxiv.org/abs/2002.08674