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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 34 — Dec. 1, 2001
  • pp: 6319–6326

Forbidden Gaps in Finite Periodic and Quasi-Periodic Cantor-Like Dielectric Multilayers at Normal Incidence

E. Cojocaru  »View Author Affiliations


Applied Optics, Vol. 40, Issue 34, pp. 6319-6326 (2001)
http://dx.doi.org/10.1364/AO.40.006319


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Abstract

Periodic and quasi-periodic Cantor-like bandgap structures that bordered upon a medium of refractive index <i>n</i><sub>0</sub> are analyzed. An immersion model is used with the assumption that each layer is embedded between two identical regions of refractive index <i>n</i><sub>0</sub> and thickness <i>d</i><sub>0</sub>, where <i>d</i><sub>0</sub> is set equal to zero. Transmittance and group velocity are determined. Their dependence on <i>n</i><sub>0</sub> 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 <i>n</i><sub>0</sub>, 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

OCIS Codes
(120.2440) Instrumentation, measurement, and metrology : Filters
(230.1480) Optical devices : Bragg reflectors
(230.4170) Optical devices : Multilayers
(240.7040) Optics at surfaces : Tunneling
(310.6870) Thin films : Thin films, other properties
(350.5030) Other areas of optics : Phase

Citation
E. Cojocaru, "Forbidden Gaps in Finite Periodic and Quasi-Periodic Cantor-Like Dielectric Multilayers at Normal Incidence," Appl. Opt. 40, 6319-6326 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-34-6319

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