Mathematical modeling of multilayer filters for telecommunication (Q1395052)

In nanoscale telecommunications a particular class of filters called wavelength division multiplexing (WDM) is largely used. Here, the lumped circuit elements present in usual conventional filters are replaced by distributed circuit elements realized as a set of layers (dielectrics) of different thickness. So, a WDM filter is formed of resonators and mirrors. Each filter has a Chebyshev transfer function. The particularity of a WDM filter lies in the fact that the phase shift is forced to take a specified set of values when passing a group of layers, for example \(\text{mod}\,2\pi\). In the paper, a technique to design WDM filters by use of an optimization method is presented. Apart from the design method, some considerations pertaining the sensitivity based on computer simulation on thin-layer coating are made. Numerical examples illustrating the application of the proposed methods are given.