ABSTRACT
The close form of Eq. (8.3) indicates that a ring resonator in the particular case is very similar to a Fabry-Pérot cavity, which has an input and output mirror with a field reflectivity, (1 – k), and a fully reflecting mirror. k is the coupling coefficient, and x = exp(–aL/2) represents a roundtrip loss coefficient, f0 = kLn0 and z kLn ENL in2 2= are the linear and nonlinear phase shifts, k = 2p/l is the wave propagation number in a vacuum, where L and a are a waveguide length and linear absorption coefficient, respectively. In this work, the iterative method is introduced to obtain the results as shown in Eq. (8.3), similarly, when the output field is connected and input into the other ring resonators.
