Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate

We study theoretically the simultaneous existence of phononic and photonic band gaps in a periodic array of silicon pillars deposited on a homogeneous thin silica plate. Several lattices, namely, square, triangular, and honeycomb are investigated for a wide range of geometrical parameters. We discuss the most suitable cases for dual phononic-photonic band gaps, especially in comparison to the more conventional structures constituted by a periodic array of holes in a membrane

Resonant tunneling between two continua

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Resonant tunnelling of acoustic waves between two slender tubes

We consider the tunnelling of acoustic waves between two slender tubes through a monomode structure. We give in closed form the conditions for selective transfer of a single propagating state from one tube to the other, leaving all other neighbor states unaffected. We illustrate the results of this analysis by analytical solutions for a simple structure made out of pieces of slender tubes

Resonant tunnelling of acoustic waves between two slender tubes

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Giant gaps in photonic band structures

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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

Giant electronic stop bands in one-dimensional comblike structures

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Defect modes in one-dimensional comblike photonic waveguides

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Absolute band gaps and electromagnetic transmission in quasi-one-dimensional comb structures

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Electron channel drop tunnelling

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