Gaussian and sech approximations of mode field profiles in photonic crystal fibers

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22 Citations (Scopus)

Abstract

We propose using the least square method for approximating the electrical field distribution of the fundamental mode in photonic crystal fibers (PCFs) by using a Gaussian and a hyperbolic-secant (sech) function. It is shown that the mode field can be fitted closely to a Gaussian for large d/Λ values (i.e., for strongly guiding structures). For small d/Λ values (for weakly guiding structures), a sech function fits the mode field well because the field gradually extends into the cladding region, implying that the analogy of PCFs with step index fibers is not applicable in this regime.

Original languageEnglish
Pages (from-to)1071-1073
Number of pages3
JournalIEEE Photonics Technology Letters
Volume16
Issue number4
DOIs
Publication statusPublished - 2004 Apr 1

Keywords

  • Least square approximation
  • Mode field diameter (MED)
  • Photonic crystal fiber (PCF)
  • Spot size

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering

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