Characterization of Resonance Multimode Planar Structures Based on Transfer Matrix Method

We propose an approach for obtaining analytical expressions approximating asymmetric resonances in the spectra of multimode layered structures, where elements of the structure support excitation of plasmonic modes. The 2 × 2 transfer matrix method is used to form a composite matrix describing the field amplitudes in such a structure element. The coefficients of the composite matrices are represented by analytical expressions describing the interference of the resonance and non-resonance components. The applicability of the proposed approach is demonstrated in the case of coupling of two plasmonic modes in a multilayer metal-dielectric structure.