Abstract
We propose a method to obtain the resonance frequencies of coupled optical modes for a stack of two periodically corrugated slabs. The method is based on the modes in each slab, which are derived by the Fourier modal method in combination with the optical scattering matrix theory. We then use the resonant mode approximation of the scattering matrices to develop a linear eigenvalue problem with dimensions equal to the number of resonant modes. Its solutions are the resonance frequencies of the coupled system and exhibit a good agreement with exact solutions. We demonstrate the capabilities of this method for pairs of planar waveguides and gratings of one-dimensional wires.
Highlights
We calculate the scattering matrices of each part of the stacked structure by the Fourier modal method including adaptive spatial resolution [3] and derive the resonances of these parts
We match the solutions in the intermediate space between the two subsystems, which leads us to a simple matrix eigenvalue problem of the dimension equal to the total number of resonances
We are going to present the general idea of the approach and apply it to several nanooptical examples in order to show its versatility and accuracy
Summary
We calculate the scattering matrices of each part of the stacked structure by the Fourier modal method including adaptive spatial resolution [3] and derive the resonances of these parts.
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