Method for optimized design of dielectric multilayer filters.

A method that can be easily programmed on a digital computer is presented for optimizing the design of dielectric multilayer filters. Certain rules have been formulated to allow one to construct the electric field transmittance explicitly for any thin film filter system. From the spectral distribution of transmittance functions, one can numerically choose the layer thickness to match the prescribed filter frequency spectrum, assuming that the refractive index of each layer is given. A synthesis procedure has been proposed in this paper for the filters that are composed of nondispersive and nonabsorptive stacks.