Abstract
To investigate optical properties of Si photonic crystal waveguides, a mathematical model was set up. Finite difference time domain method was used to calculate the Maxwell’s equations numerically. For the evolution of the electromagnetic fields in the photonic crystals, simulations were done for a small lattices using Yee lattice approach. The properties of a waveguide and a power divider were investigated for 3λx3λ photonic crystal formed from Si circular rods in air for telecommunication wavelength 1.55 µm. The model developed was satisfactory in predicting the behaviour of light in linear photonic crystals
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