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An expression for the transmission matrix based conductance is provided forthe propagation of scalar waves in certain bifurcated discrete waveguides usingthe paradigm of a three-terminal Landauer-Buttiker junction. It is found thatthe conductance across the terminals of bifurcated branches forming a sharpcorner, interpreted as a controller of `leakage' flux, can be tuned bymanipulating the number of channels and the type of lateral confinement.Natural applications in engineering and science arise in the context ofnanoscale transport involving elastic, phononic, or electronic waves. Inparticular, the paper includes a discussion of temperature dependent thermalconductance, assuming only the contribution of out-of-plane phonons, along withsome graphical illustrations.

Conductance of discrete bifurcated waveguides as three terminal junctions