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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 14 — Jul. 10, 2006
  • pp: 6572–6582

Approximate empirical relations for nonlinear photonic crystal fibers

Kunimasa Saitoh, Takeshi Fujisawa, Takahito Kirihara, and Masanori Koshiba  »View Author Affiliations


Optics Express, Vol. 14, Issue 14, pp. 6572-6582 (2006)
http://dx.doi.org/10.1364/OE.14.006572


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Abstract

Approximate empirical relations for nonlinear photonic crystal fibers (PCFs) are newly proposed. Replacing a PCF with a conventional step-index fiber, closed form expressions for the effective refractive index and the effective core area of nonlinear PCFs are derived. To define the equivalent cladding index, the effective index of the so-called fundamental space-filling mode, which is calculated using empirical relations for the effective normalized frequency, is introduced, and thus, nonlinear guided waves propagating in PCFs can be easily characterized without the need for numerical computations. The validity of the method proposed here is ensured by comparing the calculated results with those obtained by a full-vector finite-element method.

© 2006 Optical Society of America

OCIS Codes
(190.3270) Nonlinear optics : Kerr effect
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(230.3990) Optical devices : Micro-optical devices
(260.5950) Physical optics : Self-focusing

ToC Category:
Photonic Crystal Fibers

History
Original Manuscript: May 22, 2006
Revised Manuscript: July 4, 2006
Manuscript Accepted: July 5, 2006
Published: July 10, 2006

Citation
Kunimasa Saitoh, Takeshi Fujisawa, Takahito Kirihara, and Masanori Koshiba, "Approximate empirical relations for nonlinear photonic crystal fibers," Opt. Express 14, 6572-6582 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-14-6572


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References

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