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Forbidden gaps in finite periodic and quasi-periodic Cantor-like dielectric multilayers at normal incidence

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Abstract

Periodic and quasi-periodic Cantor-like bandgap structures that bordered upon a medium of refractive index n 0 are analyzed. An immersion model is used with the assumption that each layer is embedded between two identical regions of refractive index n 0 and thickness d 0, where d 0 is set equal to zero. Transmittance and group velocity are determined. Their dependence on n 0 is emphasized. Relations for the midgap value of the normalized group velocity are given. By use of these relations, diagrams are completed at different values of n 0, showing the pairs of quarter-wave-layer refractive indices at which there is an apparent superluminal tunneling through the finite periodic and quasi-periodic Cantor-like bandgap structures.

© 2001 Optical Society of America

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