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A compact 2D finite-difference time-domain method for full-vectorial analyses of photonic crystal fibers with material dispersion

JUAN JUAN HU1,* , PING SHUM1, GUOBIN REN1

Affiliation

  1. Network Technology Research Centre, Nanyang Technological University, 50 Nanyang Drive, Research Techno Plaza, Singapore – 637553

Abstract

We present a compact 2D 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 general and robust to treat general frequency-dependent material and it can be easily extended for nonlinearity analysis. As an example, the Sellmeier equation is implicitly incorporated as a special case of the general formulation to account for material dispersion of fused silica. The correlation results match well with multipole method. The relative error is within 0.02%..

Keywords

Finite-difference time-domain (FDTD), Photonic crystal fibers (PCF), Material dispersion, Auxiliary differential equation (ADE).

Submitted at: May 18, 2007
Accepted at: Aug. 18, 2007

Citation

JUAN JUAN HU, PING SHUM, GUOBIN REN, A compact 2D finite-difference time-domain method for full-vectorial analyses of photonic crystal fibers with material dispersion, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 8, pp. 2317-2320 (2007)