The role of the time delay in the reflection and transmission of ultrashort electromagnetic pulses on a system of parallel current sheets
Abstract
The reflection and transmission of a fewcycle laser pulse impinging on two parallel thin metal layers have been analyzed. The two layers, with a thickness much smaller than the skin depth of the incoming radiation field, are represented by current sheets embedded in three dielectrics, all with different index of refraction. The dynamics of the surface currents and the scattered radiation field are described by the coupled system of MaxwellLorentz equations. When applying the plane wave modeling assumptions, these reduce to a hybrid system of two delay differential equations for the electron motion in the layers and a recurrence relation for the scattered field. The solution is given as the limit of a singularly perturbed system and the effects of the time delay on the dynamics is analyzed.
 Publication:

Physica Scripta
 Pub Date:
 April 2019
 DOI:
 10.1088/14024896/aafbb5
 arXiv:
 arXiv:1812.03857
 Bibcode:
 2019PhyS...94d5205P
 Keywords:

 scattering;
 Maxwell–Lorentz equations;
 radiation reaction;
 delay differential equations;
 singularly perturbed system;
 Physics  Classical Physics;
 Mathematical Physics
 EPrint:
 Physica Scripta, Volume 94, Number 4, 2019