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.
引用
收藏
页码：1 / 19
页数：19
相关论文
共 16 条
[1]   GIANT MAGNETORESISTANCE OF (001)FE/(001) CR MAGNETIC SUPERLATTICES [J].
BAIBICH, MN ;
BROTO, JM ;
FERT, A ;
VANDAU, FN ;
PETROFF, F ;
EITENNE, P ;
CREUZET, G ;
FRIEDERICH, A ;
CHAZELAS, J .
PHYSICAL REVIEW LETTERS, 1988, 61 (21) :2472-2475
[2]  
Casimir H.B.G., 1948, P K NED AKAD WET B, V51, P793
[3]  
Economou E., 1979, GREENS FUNCTIONS QUA
[4]  
Gonis A., 2000, GRAD TEXT C
[5]   Wave propagation in an elastic metamaterial with anisotropic effective mass [J].
Jaberzadeh, Mehran ;
Li, Bing ;
Tan, K. T. .
WAVE MOTION, 2019, 89 :131-141
[6]   TUNNELING BETWEEN FERROMAGNETIC-FILMS [J].
JULLIERE, M .
PHYSICS LETTERS A, 1975, 54 (03) :225-226
[7]   Current perpendicular-to-plane giant magnetoresistance using an L12 Ag3Mg spacer and Co2Fe0.4Mn0.6Si Heusler alloy electrodes: Spacer thickness and annealing temperature dependence [J].
Kubota, Takahide ;
Ina, Yusuke ;
Wen, Zhenchao ;
Narisawa, Hiroyuki ;
Takanashi, Koki .
PHYSICAL REVIEW MATERIALS, 2017, 1 (04)
[8]   FERROMAGNETIC-FERROMAGNETIC TUNNELING AND THE SPIN FILTER EFFECT [J].
LECLAIR, P ;
MOODERA, JS ;
MESERVEY, R .
JOURNAL OF APPLIED PHYSICS, 1994, 76 (10) :6546-6548
[9]  
Los VF, 2016, REP MATH PHYS, V77, P211, DOI 10.1016/S0034-4877(16)30020-9
[10]   A time-dependent exact solution for wave-packet scattering at a rectangular barrier [J].
Los, Victor F. ;
Los, Mykola 'Nicholas' V. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (09)
12