A coordinate-free approach to wave reflection from an anisotropic medium
Article first published online: 7 DEC 2012
Copyright 1981 by the American Geophysical Union.
Volume 16, Issue 6, pages 1213–1215, November-December 1981
How to Cite
1981), A coordinate-free approach to wave reflection from an anisotropic medium, Radio Sci., 16(6), 1213–1215, doi:10.1029/RS016i006p01213.(
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 27 FEB 1981
- Manuscript Received: 3 NOV 1980
The object of this paper is to present a coordinate-free method in solving the problem of wave reflection from the surface of an anisotropic medium. Based on the direct manipulation of vectors, dyadics, and their invariants, the method eliminates the use of coordinate systems. It facilitates solutions and provides results in a greater generality. The paper contains the following results in coordinate-free forms: (1) the dispersion equation, (2) the laws of reflection and refraction, (3) the Booker quartic equation, and (4) the transmission and reflection coefficient matrices.