When a Metal-Insulator-Metal waveguide is coupled with a ring resonator, one expects, for a given integer referring to cavity mode number, exactly one resonance phenomenon. However, numerical simulations of the spectrum of the transmission of the structure highlight two resonances around certain values of the resonance wavelength. This phenomenon was numerically studied thanks to a Finite Difference Time Domain method. Until now, and to my knowledge, this phenomenon is linked to a correlation between the standing waves forming in the ring at the resonance wavelength and the faces and corners of the ring. In this document, I present a new physical analysis and interpretation of the transmission spectrum anomaly of the square ring resonator. By using an efficient polynomial modal method, I show that this phenomenon is due to the interference of hybrid modes of the superstructure.

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