Bd. Rouhani et al., Giant stop bands and defect modes in one-dimensional waveguide with dangling side branches, PROG SURF S, 59(1-4), 1998, pp. 255-264
We investigate both the photonic and electronic band structure of a comb-li
ke waveguide geometry in which dangling side branches are grafted along an
finite one-dimensional waveguide. In a periodic (superlattice like) wavegui
de, we report the opening-up of stop bands which originate both from the pe
riodicity of the system and the resonant states of the grafted branches (wh
ich play the role of resonators). Wide gaps (narrow bands) can be obtained
by grafting several dangling side branches at every node. The stop bands st
ill remain even for identical constituent materials. We also propose a tand
em structure composed of two or several successive combs which differ by th
eir physical characteristics that allows an ultrawideband filter. This beha
vior results from the superposition of the bandgaps in the successive struc
tures. The presence of a defect branch in the comb can give rise to localiz
ed modes inside gaps. These states appear as very narrow peaks in the trans
mission spectrum and therefore may have useful applications in the frame of
photonic bandgap materials or electronic band engineering of nanostructure
s.