Deductions from some artificial refractive index profiles based on the elementary functions
Abstract
A new device is developed for the synthesis of refractive index profiles with transition points, and yet yielding solutions in terms of the elementary functions. These are then used to derive the WKBJ connection formula by means of a novel limiting process based on solutions considered only along the real z-axis. The method is obviously more complicated than the more usual approach, but contains special features throwing new light on the connection formula across a single transition point.
- Publication:
-
Mathematical Proceedings
- Pub Date:
- January 1977
- Bibcode:
- 1977MaPr...81..121H
- Keywords:
-
- Electromagnetic Wave Transmission;
- Refractivity;
- Wentzel-Kramer-Brillouin Method;
- Limits (Mathematics);
- Reflected Waves;
- Transcendental Functions;
- Transition Points;
- Physics (General)