A unified TLM model for wave propagation of electrical and optical structures considering permittivity and permeability tensors

A generalized transmission line matrix (TLM) formalism is proposed for unified simulation of wave propagation problems. The present modeling is made possible with a new TLM node that is derived to account for simultaneously the electromagnetic effects of permittivity and permeability tensors of material. It is shown, through numerical examples, that the new node-based TLM algorithm in the frequency domain can be used to solve a large class of complex electromagnetic problems ranging from microwave circuits to optical devices. A dynamic solution for the r-cut sapphire-based microstrip is presented that highlights its application to high-temperature superconducting microwave circuits.<
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