Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation
文献类型：期刊论文
| 作者 | Jin, Shi; Wen, Xin |
| 刊名 | WAVE MOTION
 |
| 出版日期 | 2006-10-01 |
| 卷号 | 43期号:8页码:667-688 |
| 关键词 | geometrical optics reduced Liouville equation level set method Hamiltonian-preserving schemes Snell's law of refraction |
| ISSN号 | 0165-2125 |
| DOI | 10.1016/j.wavemoti.2006.06.001 |
| 英文摘要 | 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. |
| WOS研究方向 | Acoustics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241654400003 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3653]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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