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In this work, we compare the performance of plasmonic waveguide integratedstub resonators based on 2D metal-dielectric-metal and 3D slot waveguide (SWG)geometries. We show that scattering matrix theory can be extended to 3Ddevices, and by employing scattering matrix theory, we provide the guidelinesfor designing plasmonic 2D and 3D single-stub and double-stub resonators with adesired spectral response at the design wavelength. We provide transmissionmaps of 2D and 3D double-stub resonators versus stub lengths, and we specifythe different regions on these maps that result in a minimum, a maximum, or aplasmonically induced transparency shape in the transmission spectrum.Radiation loss from waveguide terminations leads to a degradation of the 3DSWG-based resonators. We illustrate improved waveguide terminations that boostresonator properties. We verify our results with 3D finite-differencetime-domain (FDTD) simulations.

Guidelines for designing 2D and 3D plasmonic stub resonators