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Giant electronic stop bands in one-dimensional comblike structures

We report the existence of gaps in the band structure of a comblike structure of a one-dimensional electronic waveguide with N′ dangling side branches grafted at N equidistant sites. These gaps originate both from the periodicity of the system and the resonance states of the grafted branches (which play the role of resonators). The width of the gaps depends on the length of the resonators as well as on the numbers N and N′. We stress on the tailoring of widths of the passbands (and hence the stop bands) owing to the variation of N and N′. Analytic expressions are given for the band structure for large N and for the transmission coefficients for an arbitrary value of N and N′. Analytical as well as numerical results demonstrate the opening-up of giant gaps in the band structure which are found to be justifiable from the transmission spectra.