A Coordinate-Free Approach to Wave Reflection from a Uniaxially Anisotropic Medium
- 1 January 1983
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Microwave Theory and Techniques
- Vol. 31 (4) , 331-336
- https://doi.org/10.1109/tmtt.1983.1131493
Abstract
This paper presents a coordinate-free method of solving the problem of electromagnetic wave reflection from the surface of a uniaxially 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: a) the dispersion equations; b) me directions of field vectors; c) the Poynting vectors (ray vectors) and group velocities d) the' laws of reflection and refraction; and e) the transmition and reflection coefficients. The results are valid for the incident wave having any polarization, and the optic axis of the uniaxial medium being arbitrarily oriented with respect to the interface and the plane of incidence.Keywords
This publication has 3 references indexed in Scilit:
- Microwave Propagation in FerrimagneticsPublished by Springer Nature ,1981
- Reflection and Refraction of Plane Waves from Plane Ferrite SurfacesJournal of Applied Physics, 1971
- Optical Properties and Reflectance of Uniaxial Absorbing Crystals*Journal of the Optical Society of America, 1968