Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/30830
Title: Generalized finite-difference time-domain method utilizing auxiliary differential equations for the full-vectorial analysis of photonic crystal fibers
Authors: Hu, JJ
Shum, P
Lu, C
Ren, G
Keywords: Auxiliary differential equation (ADE)
Finite-difference time-domain (FDTD)
Kerr nonlinearity
Material dispersion
Photonic crystal fibers (PCF)
Issue Date: 2007
Publisher: Jefferson Law Book Company
Source: IEEE photonics technology letters, 2007, v. 19, no. 24, p. 1970-1972 How to cite?
Journal: IEEE Photonics Technology Letters 
Abstract: We present the generalized finite-difference time-domain full-vectorial method by reformulating the time-dependent Maxwell's curl equations with electric flux density and magnetic field intensity, with auxiliary differential equations using complex-conjugate pole-residue pairs. The model is generic and robust to treat general frequency-dependent material and nonlinear material. The Sellmeier equation is implicitly incorporated as a special case of the general formulation to account for material dispersion of fused silica. The results are in good agreement with the results from the multipole method. Kerr nonlinearity is also incorporated in the model and demonstrated. Nonlinear solutions are provided for a one ring photonic crystal fiber as an example.
URI: http://hdl.handle.net/10397/30830
ISSN: 1041-1135
DOI: 10.1109/LPT.2007.909696
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