The intensity transmission of a micro-ring resonator connected to a single bus waveguide is given by the following equation: T² (2) = r² + y²2ry cos (KLT) 1+ (ry)² - 2ry

cos(kLr) Where k=neff2/2 is the wave vector, r is the self-coupling field coefficient, y is the single-pass field amplitude transmission given by y² = e-ar, a are the waveguide losses, L₁=27*R is the cavity round trip and R is the cavity radius. a) Calculate the Free-Spectral Range (FSR) of a resonator operating at a wavelength 1-1550 nm with radius R=10 μm, losses a-3 cm³¹, a self-coupling field coefficient r=0.9, and effective index neff-3.5. (Assume ng=neff). b) Using the resonator parameters defined in section a) and a self-coupling field coefficient r=0.9, plot the intensity transmission as a function of the wavelength over a few spectral ranges. Consider a centre wavelength 1550 nm for your plot. c) Using the resonator parameters defined in section a), plot the intensity transmission at resonance over the range of self-coupling field coefficients r=0.98 -0.995 with increments Ar= 0.001. d) Calculate the single-pass field amplitude transmission y and discuss the results of section c) for r y.