Preliminary Lumerical interpretation and prospective application of the proposed 3x3-Coupled Double-Ring Resonator with Internal Cross-Coupling (3x3C-XC)

Abstract

This paper is grounded in Gellada's mathematical framework that employed scattering matrix formalism to derive the transmitted complex field and intensity response equations of the novel 3x3C-XC photonic integrated circuit (PIC), designed for advanced optical filtering [Gellada (2024)]. Such a silicon-on-glass configuration — with 0.1 μm gaps within the coupling regions and equal perimeters — was simulated and evaluated using Ansys Lumerical. Results reveal a real transmitted field, highlighting interference and scattering as dominant mechanisms and suggesting the presence of coupled-resonator-induced transparency (CRIT). From there, even with initial findings thus far, this paper affirms the 3x3C-XC's theoretical and practical viability as a low-loss, programmable filter for next-generation PICs in wavelength division multiplexing and signal processing.