Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation

doi:10.1016/j.wavemoti.2006.06.001

CSpace

	Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
	Jin, Shi ; Wen, Xin
	2006-10-01
发表期刊	WAVE MOTION
ISSN	0165-2125
卷号	43 期号:8 页码:667-688
摘要	We develop a numerical scheme for the wave front computation of complete transmissions and reflections in geometrical optics. Such a problem can be formulated by a reduced Lionville equation with a discontinuous local wave speed or index of refraction, arising in the high frequency limit of linear waves through inhomogeneous media. The key idea is to incorporate Snell's Law of Refraction into the numerical flux for the reduced Lionville equation. This scheme allows a hyperbolic CFL condition, under which positivity, and stabilities in both 1 infinity and 1(1) norms, are established. Numerical experiments are carried out to demonstrate the validity and accuracy of this new scheme. (C) 2006 Elsevier B.V. All rights reserved.
关键词	geometrical optics reduced Liouville equation level set method Hamiltonian-preserving schemes Snell's law of refraction
DOI	10.1016/j.wavemoti.2006.06.001
语种	英语
WOS研究方向	Acoustics ; Mechanics ; Physics
WOS类目	Acoustics ; Mechanics ; Physics, Multidisciplinary
WOS记录号	WOS:000241654400003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3654
专题	中国科学院数学与系统科学研究院
通讯作者	Wen, Xin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Univ Wisconsin, Dept Math, Madison, WI 53706 USA
推荐引用方式 GB/T 7714	Jin, Shi,Wen, Xin. Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation[J]. WAVE MOTION,2006,43(8):667-688.
APA	Jin, Shi,&Wen, Xin.(2006).Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation.WAVE MOTION,43(8),667-688.
MLA	Jin, Shi,et al."Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation".WAVE MOTION 43.8(2006):667-688.