The Principal Axis Coordinate System Applied to Diffraction of Electromagnetic Radiation by Weak Sonic Vibrations in an Anisotropic Medium.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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It is well established that under certain general assumptions concerning an anisotropic medium, the constitutive relations associated with Maxwells equations may be represented as a linear effective permittivity tensor. When electron collisions may be treated with a single effective collision frequency, this tensor is normal, and leads to a basis for a complex mathematical three-space related to the anisotropy of the medium. Maxwells equations are defined in this system, and by use of the general contravariant and covariant tensor formalisms, the necessary dual coordinate bases and vector relations are established eliminating the need for ad hoc assumptions used by previous authors. The principal modes of propagation in the medium are then easily found and the classic Appleton-Hartree equation is derived. A necessary condition for the existence of solutions to propagation problems is developed. An original solution to the diffraction of a transverse to the static field electromagnetic wave by a transverse sonic variation in an anisotropic half-space is obtained, limited only by the Bragg condition. Author
- Radiofrequency Wave Propagation