## Abstract

A procedure for the synthesis of birefringent networks having arbitrarily prescribed transfer functions is presented. The basic network configuration consists of *n* identical cascaded birefringent crystals between an input and an output polarizer. The crystals are cut with their optic axes perpendicular to their length. The variables determined by the synthesis procedure are the angles of the optic axes of the crystals and the angle of the output polarizer. Any transfer function which is periodic with frequency and whose corresponding impulse response is real and causal can, in theory, be realized. A network of *n* crystals allows the approximation of a desired function by (*n*+1) terms of a Fourier exponential series. Bandwidths of less than 1 Å appear possible.

© 1964 Optical Society of America

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