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	Computation of high frequency wave diffraction by a half plane via the Liouville equation and geometric theory of diffraction
	Shi Jin ; Dongsheng Yin
	2010-10-12 ; 2010-10-12
关键词	Theoretical or Mathematical/ geometrical optics geometrical theory of diffraction light diffraction light reflection Liouville equation numerical analysis optical vortices/ high-frequency wave diffraction geometrical optics geometric theory of diffraction GTD theory half plane vertex reflection boundary condition Eulerian numerical method Liouville equation/ A4215 Geometrical optics A4225G Edge and boundary effects optical reflection and refraction A4225F Optical diffraction and scattering A0260 Numerical approximation and analysis
中文摘要	We construct a numerical scheme based on the Liouville equation of geometric optics coupled with the geometric theory of diffraction (GTD) to simulate the high frequency linear waves diffracted by a half plane. We first introduce a condition, based on the GTD theory, at the vertex of the half plane to account for the diffractions, and then build in this condition as well as the reflection boundary condition into the numerical flux of the geometrical optics Liouville equation. Numerical experiments are used to verify the validity and accuracy of this new Eulerian numerical method which is able to capture the moments of high frequency and diffracted waves without fully resolving the high frequency numerically.
语种	英语
出版者	Global Science Press ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81233]
专题	清华大学
推荐引用方式 GB/T 7714	Shi Jin,Dongsheng Yin. Computation of high frequency wave diffraction by a half plane via the Liouville equation and geometric theory of diffraction[J],2010, 2010.
APA	Shi Jin,&Dongsheng Yin.(2010).Computation of high frequency wave diffraction by a half plane via the Liouville equation and geometric theory of diffraction..
MLA	Shi Jin,et al."Computation of high frequency wave diffraction by a half plane via the Liouville equation and geometric theory of diffraction".(2010).

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