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19 July 2007 A taste of photonics: band structure, null gaps, non-Bragg gaps, and symmetry properties of one-dimensional superlattices
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Abstract
We have investigated the propagation of plane waves through one-dimensional superlattices composed of alternate layers characterized by two di.erent refractive indexes, which may take on positive as well as negative values. For both indices of refraction positive we have found null-gap points for commensurate values of the optical path lengths of each layer at which the superlattice becomes transparent. We have determined the symmetry properties of the electromagnetic field demonstrating the degeneracy of the solutions at these points. Furthermore, we have been able to characterize non-Bragg gaps that show up in frequency regions in which the average refractive index is null, by obtaining analytically the non-Bragg gap width which depends only on the ratio b/a of the layer widths.
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L. E. Oliveira, S. B. Cavalcanti, and E. Reyes-Gómez "A taste of photonics: band structure, null gaps, non-Bragg gaps, and symmetry properties of one-dimensional superlattices", Proc. SPIE 6726, ICONO 2007: Physics of Intense and Superintense Laser Fields; Attosecond Pulses; Quantum and Atomic Optics; and Engineering of Quantum Information, 67262H (19 July 2007); https://doi.org/10.1117/12.751470
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