Homogenization Method Based on Cauer Ladder Network Representation of Unit Cell

In this study, a novel homogenization method based on the B-input Cauer ladder network (CLN) method, which is a new variant of the CLN method, is proposed. This method yields complex permeability in the form of a continued fraction, which is deemed the impedance function of the Cauer circuit and can be instantly applied to time-domain analysis. By guaranteeing all the positive circuit parameters in the Cauer circuit through the CLN algorithm, this method proved to be robust and stable for time-domain analysis.