Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Reichel, Wolfgang"'
Autor:
Ohrem, Sebastian, Reichel, Wolfgang
We consider the full set of Maxwell equations in a slab or cylindrical waveguide with a cubically nonlinear material law for the polarization of the electric field. The nonlinear polarization may be instantaneous or retarded, and we assume it to be c
Externí odkaz:
http://arxiv.org/abs/2407.18729
We consider a variant of the Lugiato-Lefever equation (LLE), which is a nonlinear Schr\"odinger equation on a one-dimensional torus with forcing and damping, to which we add a first-order derivative term with a potential $\epsilon V(x)$. The potentia
Externí odkaz:
http://arxiv.org/abs/2302.00311
Autor:
Plum, Michael, Reichel, Wolfgang
We consider localized solutions of variants of the semilinear curl-curl wave equation $s(x) \partial_t^2 U +\nabla\times\nabla\times U + q(x) U \pm V(x) |U|^{p-1} U = 0$ for $(x,t)\in \mathbb{R}^3\times\mathbb{R}$ and arbitrary $p>1$. Depending on th
Externí odkaz:
http://arxiv.org/abs/2212.04723
We consider the nonlinear Klein-Gordon equation $\partial_t^2u(x,t)-\partial_x^2u(x,t)+\alpha u(x,t)=\pm|u(x,t)|^{p-1}u(x,t)$ on a periodic metric graph (necklace graph) for $p>1$ with Kirchhoff conditions at the vertices. Under suitable assumptions
Externí odkaz:
http://arxiv.org/abs/2211.08108
We consider Kerr frequency combs in a dual-pumped microresonator as time-periodic and spatially $2\pi$-periodic traveling wave solutions of a variant of the Lugiato-Lefever equation, which is a damped, detuned and driven nonlinear Schr\"odinger equat
Externí odkaz:
http://arxiv.org/abs/2210.09779
Kerr frequency combs generated in high-Q microresonators offer an immense potential in many applications, and predicting and quantifying their behavior, performance and stability is key to systematic device design. Based on an extension of the Lugiat
Externí odkaz:
http://arxiv.org/abs/2210.09760
We consider the linear wave equation $V(x) u_{tt}(x, t) - u_{xx}(x, t) = 0$ on $[0, \infty)\times[0, \infty)$ with initial conditions and a nonlinear Neumann boundary condition $u_x(0, t) = (f(u_t(0,t)))_t$ at $x=0$. This problem is an exact reductio
Externí odkaz:
http://arxiv.org/abs/2210.06383
Autor:
Reichel, Wolfgang, Schauer, Manfred
Der geologische Teil gibt erstmals eine vollständige Darstellung der fossilen Flora und Fauna des Döhlener Beckens wieder. Im Döhlener Becken sind 4 große Sedimentationsperioden erkennbar, die teilweise zyklisch strukturiert sind. Das Döhlener B
We consider a 2+1 dimensional wave equation appearing in the context of polarized waves for the nonlinear Maxwell equations. The equation is quasilinear in the time derivatives and involves two material functions $V$ and $\Gamma$. We prove the existe
Externí odkaz:
http://arxiv.org/abs/2204.05570
Autor:
Reichel, Wolfgang, Schauer, Manfred
Publikováno v:
Bergbau in Sachsen.
Der geologische Teil gibt erstmals eine vollständige Darstellung der fossilen Flora und Fauna des Döhlener Beckens wieder. Im Döhlener Becken sind 4 große Sedimentationsperioden erkennbar, die teilweise zyklisch strukturiert sind. Das Döhlener B