Open AccessA fast and accurate numerical tool to model the modal properties of photonic-bandgap fibers
Author(s) -
Vinayak Dangui,
Michel J. F. Digonnet,
G. S. Kino
Publication year - 2006
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.14.002979
Subject(s) - classification of discontinuities , optics , photonic bandgap , photonic crystal , modal , stopband , photonics , bandwidth (computing) , refractive index , photonic crystal fiber , finite difference time domain method , band gap , physics , optical fiber , materials science , computer science , optoelectronics , resonator , telecommunications , mathematical analysis , mathematics , polymer chemistry
We describe a finite-difference numerical method that allows us to simulate the modes of air-core photonic-bandgap fibers (PBF) of any geometry in minutes on a standard PC. The modes' effective indices and fields are found by solving a vectorial transverse magnetic-field equation in a matrix form, which can be done quickly because this matrix is sparse and because we reduce its bandwidth by rearranging its elements. The Stanford Photonic-Bandgap Fiber code, which is based on this method, takes about 4 minutes to model 20 modes of a typical PBF on a PC. Other advantages include easy coding, faithful modeling of the abrupt discontinuities in the index profile, high accuracy, and applicability to waveguides of arbitrarily complex profile.