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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 24 — Nov. 28, 2005
  • pp: 9922–9934

Causality and Kramers-Kronig relations for waveguides

Magnus W. Haakestad and Johannes Skaar  »View Author Affiliations


Optics Express, Vol. 13, Issue 24, pp. 9922-9934 (2005)
http://dx.doi.org/10.1364/OPEX.13.009922


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Abstract

Starting from the condition that optical signals propagate causally, we derive Kramers-Kronig relations for waveguides. For hollow waveguides with perfectly conductive walls, the modes propagate causally and Kramers-Kronig relations between the real and imaginary part of the mode indices exist. For dielectric waveguides, there exists a Kramers-Kronig type relation between the real mode index of a guided mode and the imaginary mode indices associated with the evanescent modes. For weakly guiding waveguides, the Kramers-Kronig relations are particularly simple, as the modal dispersion is determined solely from the profile of the corresponding mode field.

© 2005 Optical Society of America

OCIS Codes
(230.7370) Optical devices : Waveguides
(260.2030) Physical optics : Dispersion
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Research Papers

History
Original Manuscript: August 24, 2005
Revised Manuscript: August 24, 2005
Published: November 28, 2005

Citation
Magnus Haakestad and Johannes Skaar, "Causality and Kramers-Kronig relations for waveguides," Opt. Express 13, 9922-9934 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-24-9922


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References

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