SPACE-TIME PROPAGATOR AND EXACT SOLUTION FOR WAVE EQUATION IN A LAYERED SYSTEM

被引：0
|
作者：
Los, Victor F. [1 ]
Los, Nicholas, V
机构：
[1] Natl Acad Sci, Inst Magnetism, Vernadsky Blvd 36-B, UA-03142 Kiev, Ukraine
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2021年 / 88卷 / 01期
关键词：
wave equation; multiple scattering theory; space-time propagator; wave packet propagation; layered system; GIANT MAGNETORESISTANCE;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Exact space-time propagator for the wave (second-order in time) equation in a layered system, made up of a layer sandwiched between two other different semi-infinite layers, is obtained by means of the multiple scattering theory (MST) approach. The MST approach is made possible due to obtained effective potentials localized at interfaces and responsible for reflection from and propagation through them. The obtained spacetime propagator exactly solves the considered wave equation for any initial value and allows for following in time the processes of reflection and transmission. The solution for an initial Gaussian wave packet is obtained, analyzed, numerically visualized and discussed for the case of the perpendicular-to-interfaces incoming wave. In particular, the contribution of the backward-moving components of the wave packet is revealed.
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页码：1 / 19
页数：19
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