MATRIX TREATMENT OF WAVE-PROPAGATION IN STRATIFIED MEDIA

被引：6

作者：

ROBNIK, M

机构：

[1] Department of Physics, University of Ljubljana, Box 543

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 01期

关键词：

D O I：

10.1088/0305-4470/12/1/028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analytic approximation for the diffeomorphism of a homogeneous linear second-order differential equation is obtained in matrix representation. As a consequence of energy conservation for waves propagating in a non-absorbing stratified medium the corresponding transmission matrix belongs to the group QU(2). The approximation contains the WKB approximation and may be applied to discrete and continuous media. As an application of the method three specific problems are treated: calculation of the reflection coefficient, determination of the eigenmodes, and calculation of the adiabatic invariant for a damped classical harmonic oscillator.

引用

页码：151 / 158

页数：8