2004
DOI: 10.1103/physreve.69.056604
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Finite-size effect on one-dimensional coupled-resonator optical waveguides

Abstract: We study the finite-size effect on the dispersion relation, group velocity, and transmission curves of one-dimensional finite-size coupled-resonator optical waveguide (CROW) structures. Both the dispersion relation and the group velocity curves of a finite-size CROW oscillate along those of the corresponding infinite-extended ones. The oscillations can be suppressed by matching the equivalent admittance of the surrounding medium to that of the unit cell. Thelen's method is used to find the parameters of the ma… Show more

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Cited by 39 publications
(14 citation statements)
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References 30 publications
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“…The bandwidth and central frequency of each resonance change with the number of the periods. The finite thickness or termination of photonic crystals (PhCs) has a significant impact on the dispersive properties of the structure [5]- [7] and hence affects transmission properties. In particular, the transmission coefficient of a plane wave having frequency within the pass band exhibits a thicknessdependent periodic oscillation.…”
Section: Introductionmentioning
confidence: 99%
“…The bandwidth and central frequency of each resonance change with the number of the periods. The finite thickness or termination of photonic crystals (PhCs) has a significant impact on the dispersive properties of the structure [5]- [7] and hence affects transmission properties. In particular, the transmission coefficient of a plane wave having frequency within the pass band exhibits a thicknessdependent periodic oscillation.…”
Section: Introductionmentioning
confidence: 99%
“…The miniband width depends on the coupling strength, and thus on N . One of the most important properties of CRS is that the dispersion relation and transmission spectrum for a moderate number of unit cells of the superlattice can be optimized to closely approximate that of the infinite CRS [24,25]. As a result, the transmission phase via a finite-size CRS exhibits a smooth increase through a finite and high transmission miniband summing up to a total phase shift equal to the number of half-wave defects in the structure multiplied by π [25].…”
Section: A Normal Incidencementioning
confidence: 99%
“…In most studies of CROWs performed to date infinite periodic structures composed of identical resonators have been considered. It should be noted that practical CROWs are always of finite size, and thus their characteristics can differ from those theoretically predicted for infinite structures [23]. O understanding how disorder in either the resonators size or the inter-resonator coupling coefficients affects CROW transmission characteristics has been primarily focused on the estimation of CROW fabrication tolerances [13,24].…”
Section: Introductionmentioning
confidence: 99%