2019/11/03 by Victor F. Los, Los, Victor F., Nicholas V. Los +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Microwave Imaging and Scattering Analysis #Optical and Acousto-Optic Technologies #Quantum Physics (quant-ph) #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.1911.01843
openalex publication_date 2019/11/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Exact space-time propagator for the wave (second-order in time) equation in a\nlayered system, made up of a layer sandwiched between two other different\nsemi-infinite layers, is obtained by means of the multiple scattering theory\n(MST) approach. The wave equation for this layered system is characterized by\nthe spatial dependence of the wave phase velocity which changes in the\nperpendicular-to-interfaces direction when crossing the interfaces and thus\nhaving different constant values in different layers of the threelayer. The MST\napproach is made possible due to obtained effective potentials localized at\ninterfaces and responsible for reflection from and propagation through them.\nThe obtained space-time propagator exactly solves the considered wave equation\nfor any initial value and allows for following in time the processes of\nreflection and transmission. The solution for an initial Gaussian wave packet\nis obtained, analyzed and numerically visualized for a simple case of the\nperpendicular-to-interfaces incoming wave. In particular, the contribution of\nthe backward-moving components of the wave packet is revealed.\n