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This paper discusses modeling and optimizing the performance of hybrid plasmonic bidirectional coupler which is used as a basic building block in modeling highly transmission efficiency of optoelectronic devices such as filter, wavelength division multiplexer, logic gates and switching matrix with a help of an active material (indium tin oxide) that has an electrically-adjustable permittivity. All the proposed devices satisfied high transmission efficiencies at the desired output ports over a suitable wavelength range. The realized structures are characterized and simulated by 3D finite-difference time-domain (FDTD). The components would be useful in the optical interconnect networks, photonic integrated circuits and signal processing system.