GRAPHICAL REPRESENTATION AND ANALYSIS OF THE Z-SHAPED DOUBLE-COUPLER OPTICAL-RESONATOR

A graphical technique for obtaining the transfer functions between any input and output optical ports of photonic circuits is presented. The Z-shaped double-coupler optical resonator is chosen as an example for illustration of the graphical approach. Theoretical study of this pho tonic circuit is described using z-transformation of the optical trans fer function. An expression for the pole-dependent resonator finesse a nalogous to the Fabry-Perot resonator finesse is derived. Possible app lications of this resonating system as optical bandpass digital and/or notch filters and as an all-optical timing recovery circuit are discu ssed.