Numerical studies of 2D photonic crystals: Waveguides, coupling between waveguides and filters


Stoffer, R. and Hoekstra, H.J.W.M. and Ridder, R.M. de and Groesen, E. van and Beckum, F.P.H. van (2000) Numerical studies of 2D photonic crystals: Waveguides, coupling between waveguides and filters. Optical and quantum electronics, 32 (6-8). pp. 947-961. ISSN 0306-8919

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Abstract:In photonic crystals, light propagation is forbidden in a certain wavelength range, the bandgap. In a two-dimensional crystal composed of parallel high-refractive index rods in a low-index background a line defect can be formed by removing a row of these rods, which can act as a waveguide for frequencies in the bandgap of the crystal. In order to get more insight into the main features of such waveguides we have studied a number of properties, using simulation tools based on the finite difference time domain method and a finite element Helmholtz solver. We show conceptually simple methods for determining the bandgap of the crystal as well as the dispersion of a waveguide for wavelengths in this bandgap. For practical applications, it is also important to know how much light can be coupled into the waveguide. Therefore, the coupling of light from a dielectric slab waveguide into the photonic crystal waveguide has been examined, showing that a coupling efficiency of up to 83% can be obtained between a silicon oxide slab and a waveguide in a crystal of silicon rods. Finally, calculations on an ultra-compact filter based on reflectively terminated side-branches of waveguides (similar to tuned stubs in microwave engineering) are shown and discussed.
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Copyright:© 2000 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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