GRADUAL REFLECTION OF SHORT WAVES

被引:31
作者
MEYER, RE [1 ]
机构
[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
关键词
ELASTIC WAVES - ELECTROMAGNETIC WAVES;
D O I
10.1137/0129039
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Short wave asymptotic methods fail to give information on the wave reflection caused by gradual variation of propagation speed with position. This paper examines plane wave propagation according to the classical wave equation in a medium of optical index of refraction changing analytically smoothly in the direction of propagation. The reflection coefficient is shown to be exponentially small in the ratio of wavelength to modulation scale. It is calculated to the first approximation for a large class of analytical index functions.
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页码:481 / 492
页数:12
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