Dynamics of Delay Equations, Theory and Applications - Abstract
Polner, Monika
The reflection and transmission of a few-cycle laser pulse impinging on two parallel thin metal layers have been analyzed. Our model is an extension of the one-layer scattering problem described in [1-3], and the analysis is based on classical electrodynamics and mechanics. The two layers, with thickness much smaller than the skin depth of the radiation field, are represented by current sheets, which are embedded in three dielectrics, all with different index of refraction. The dynamics of the surface currents and the complete radiation field are described by the coupled system of Maxwell-Lorentz equations. In our analysis particular attention has been paid to the role of the radiation reaction and of the time delay. There are several sources of time delay in the extended system: due to the angle of incidence of the impinging laser pulse and due to the propagation time between the two surface current sheets. In this presentation we show the analytic solutions of the resulting coupled delay differential-difference system of equations when the three dielectrics have the same index of refraction, besides, we show some numerical studies of the most general case. The main emphasis is on the effect of the delay on the dynamics of the system. vspace*1cm noindentbf REFERENCES renewcommandlabelenumi[theenumi ] beginenumerate item S. Varró, Scattering of a few-cycle laser pulse on a thin metal layer : the effect of the carrier-envelope phase difference, it Laser Physics Letters bf 1, 42-45 (2004). item S. Varró, Linear and Nonlinear Absolute Phase Effects in Interactions of Ultrashort Laser Pulses with a Metal Nano-Layer or with a Thin Plasma Layer, it Laser and Particle Beams bf 25, 379-390 (2007). item S. Varró, Generation of rectangular optical waves by relativistic clipping, it Laser Physics bf 23, 056006 (2013). endenumerate