Synthesis of dual-microring-resonator cross-connect filters

Abstract

A new type of resonant, waveguided, 2 x 2 cross-connect optical filter is proposed and synthesized using a microwave filter analog. The optical passbands of the device are determined using 2D scattering matrix theory and the desired response is generated via a synthesis for a combined singly and doubly terminated circuit. This synthesis realizes the microring coupling coefficients necessary for maximally flat infrared spectral response. Closed-form analytical solutions are presented. Devices containing two, four, and six microrings were investigated.

Four-channel optical add-drop multiplexer based on dual racetrack micro-ring resonators

“…In this paper, the transfer matrix method [10] is used to analyze the resonant spectrum of the racetrack MRR. In Fig.…”

On the Formal Analysis of Photonic Signal Processing Systems

“…Consequently, the test for the stability (which ensures that the system output is always finite) and resonance (which ensures the oscillation of light waves at certain frequencies) conditions of the photonic circuit can be identified which are the foremost design criterion. One primary analytical approach is to compute the transfer function by explicitly writing node and loop equations which can further be utilized to analyze some physical aspects (e.g., transfer intensity and dispersion [9]) of photonic systems. Recently, however, the signal-flow graph (SFG) theory (originally proposed by Mason [17]) has been extensively used to compute the transfer function of PSP systems.…”

Analysis on transmission characteristics of nested ring resonators

“…Nowadays, various configurations of ring resonators have been proposed, such as single-ring resonators [1,2], series-coupled resonators [3], parallel-coupled resonators [4,5], and many other complicated structures [6,7]. Scale of rings in these resonators can be chosen from decimeters of fiber rings to microns of waveguide rings.…”