An exact design method for multilayer dielectric thin film filters
of uniform optical thickness based on a frequency transformation and
classical lossless filter synthesis is introduced. The proposed method consists of finding the optimal realizable inverse transmittance function (power loss ratio) which fulfills additional constraints such as number of layers and the calculation of the refractive indices of the individual layers. The proposed algorithm can easily be implemented because it only requires determining the roots of a polynomial. In contrast to known methods the proposed
method is not limited to symmetrical multilayers or filters with geometric symmetry and allows for both reflective and transmissive characteristics of the optical filter. Several designs based on the new algorithm will be presented to demonstrate the usefulness of the exact synthesis procedure. The resulting filters can be transformed into filters with readily available indices using a known transform
algorithm.
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