Theory of Induced-Transmission Filters in Terms of the Concept of Equivalent Layers
- 1 November 1972
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 62 (11), 1258-1264
- https://doi.org/10.1364/josa.62.001258
Abstract
The concept of equivalent layers, previously applied only to all-dielectric multilayer systems, is extended to include symmetrical systems containing absorbing layers. To maximize the potential transmittance of such a system, its parameters must be chosen so that the refractive index of the equivalent layer is real. This choice simultaneously leads to a minimum of the imaginary part of the equivalent phase thickness. The proof involves a novel technique of representing the parameters of the layers by those of a spherical triangle. In the mathematical process, a simple expression is derived for the phase thickness of the dielectric layers of the symmetrical system appropriate to the optimization of its potential transmittance.Keywords
This publication has 5 references indexed in Scilit:
- The Design and Preparation of Induced Transmission FiltersApplied Optics, 1969
- Equivalent Layers in Multilayer FiltersJournal of the Optical Society of America, 1966
- Design of Multilayer Filters by Considering Two Effective InterfacesJournal of the Optical Society of America, 1958
- Induced Transmission in Absorbing Films Applied to Band Pass Filter DesignJournal of the Optical Society of America, 1957
- The Design of Optical FiltersJournal of the Optical Society of America, 1952