The synthesis and identification of layered media is represented as an inverse problem for the wave equation or a related Schroedinger equation. Analytically it can be solved by using a relation between the reflection coefficient and the refractive-index profile, resulting from a Bremmer series solution of the wave equation. With a view to practical synthesis within a given system family three approaches are discussed: complete scanning by means of pattern recognition; investigation of a related Tschebyschev approximation problem; and application of quasi-linearization.
© 1981 Optical Society of America
Hans Kaiser and Hans-Christoph Kaiser, "Mathematical methods in the synthesis and identification of thin film systems: errata," Appl. Opt. 20, 1043-1049 (1981)