کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1901356 1045679 2006 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Internal symmetry in acoustical ray theory
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات زمین شناسی
پیش نمایش صفحه اول مقاله
Internal symmetry in acoustical ray theory
چکیده انگلیسی
A connection between acoustic ray theory and differential geometry suggests the existence of a local symmetry within ray theory. The local symmetry, in this case conformal symmetry, is reminiscent of that encountered in the study of electromagnetic field theory, or more generally gauge theory. Acousticians can take advantage of this symmetry by choosing a gauge that best suits a given problem. In this paper, the symmetry is discussed in the most general context and the transformations for both ray theory and paraxial ray theory are given. When applied to the paraxial equations this transformation alters the stability parameters of the system. For low dimensional problems in ray theory, such as those including depth and range dependence in the local sound speed, the stability parameters become a property of the medium. Specific applications to layered media are presented and their consequences discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 43, Issue 6, June 2006, Pages 508-516
نویسندگان
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