The design and realization of chip-scale plasmonic devices have been considerably facilitated by computational
electromagnetic simulations and sophisticated nanofabrication techniques. For rapid device optimization, numerical
simulations should be supplemented by simple analytical expressions capable of providing a reasonable
estimate of the initial design parameters. In this paper, we develop an analytic approach and derive approximate
expressions for the transmittance of metal-dielectric-metal (MDM) waveguides coupled to single, double, and
periodic stub structures. Our method relies on the well-known analogy between MDM waveguides and microwave
transmission lines, and enables us to use standard analytical tools in transmission-line theory. The advantage of
our analytic approach over the previous studies is in accounting for the plasmon damping due to Ohmic losses
and reflection-induced phase shift at the stub end. We found that the analyzed waveguide configurations can
exhibit the characteristics of nanoscale filters and reflectors. We validate our analytical model by comparing
its predictions with numerical simulations for several MDM waveguides with different stub configurations. The
proposed theoretical results are particularly useful to reduce lengthy simulation times and will prove valuable in
designing and optimizing MDM-waveguide-based photonic devices.
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