Short-pulse transient and characteristics of lossy binomial transmission lines with arbitrary linear and nonlinear termination

Lossy binomial transmission lines with arbitrary linear and nonlinear loads are modeled for use as short-pulse transformers in electrical and optical high-speed interconnects. An efficient method is proposed in this paper to characterize these lines as an equivalent circuit that consist of a cascaded connection of lumped networks and lossy uniform transmission lines in the frequency domain, while nonlinear problems are formulated and solved with time-domain scattering equations via a convolution technique. Results indicate that binomial lines present an advantage over exponential lines or uniform lines for the nonlinear loading effect, and they can be effectively used as a short-pulse transformer in such systems and devices as laser diodes, junction transistors, and metal-oxide-semiconductor field-effect transistors to enhance power coupling efficiency and reshape digital signal waveforms.