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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 2296–2300

Photonic bandgaps of periodic multilayers with diffuse interfaces

Jean-Michel André and Philippe Jonnard  »View Author Affiliations

JOSA B, Vol. 30, Issue 8, pp. 2296-2300 (2013)

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The photonic bandgap of periodic multilayers with diffuse interfaces is calculated by considering an empirical model for the interdiffusion profile. The model for the diffuse profile is based on the error function Erf and a characteristic parameter σ. The model is valid for multilayer structures with an arbitrary layer thickness. It is shown that the width of the bandgap varies with the value of σ and the Brillouin zone boundary. Numerical examples are presented. It is suggested that measuring the ratio of the width of the bandgaps at different orders, that is, determining experimentally the ratio of the widths of the different Bragg peaks on a reflectivity curve, can allow estimation of the thickness of the interdiffusion layer.

© 2013 Optical Society of America

OCIS Codes
(230.4170) Optical devices : Multilayers
(340.0340) X-ray optics : X-ray optics
(340.7480) X-ray optics : X-rays, soft x-rays, extreme ultraviolet (EUV)
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(160.5293) Materials : Photonic bandgap materials

ToC Category:

Original Manuscript: April 26, 2013
Revised Manuscript: July 12, 2013
Manuscript Accepted: July 12, 2013
Published: July 29, 2013

Jean-Michel André and Philippe Jonnard, "Photonic bandgaps of periodic multilayers with diffuse interfaces," J. Opt. Soc. Am. B 30, 2296-2300 (2013)

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