We propose a kind of magnetic photonic crystal (MPC) slab waveguide made from magneto-optical material, namely bismuth iron garnet. The finite difference beam propagation method is employed for numerical calculations, which is the most widely used propagation technique for modeling integrated and photonic devices. The mode conversion and the influence of corresponding parameters are studied theoretically. As a numerical example, a TE-TM mode conversion waveguide-type optical isolator based on this designed MPC is described. An effective away to enhance the Faraday rotation at the 1.55-μm telecommunication wavelength is shown.
Planar photonic crystal nanocavities, made in a thin photonic-crystal membrane surrounded by symmetric cladding layers, are designed for integrated optics. Following the design, the quality factor (Q) and the resonant wavelength of the cavity are numerically analyzed by the three-dimensional finite-difference time-domain method and filter diagonalization approach. Optimization of the cavity design by modulating the structure parameter yields a high Q-factor. A nanocavity with symmetric cladding layers is studied and it is found that when the cavity has a low-refractive index (RI) symmetric cladding, the reflection losses of increase due to the smaller RI difference, and the Q-values drop considerably. Furthermore, we demonstrate that the Q-factor of the cavity depends on the geometric structure of the cladding and the calculated Q-factor for the designed cavity with periodic cladding increases by a factor of ∼1.4 relative to that for a designed cavity with a solid cladding. For operation at a telecommunication wavelength of 1550 nm, the Q-factor of the designed cavities is higher than 104. This cavity design can help to enhance the optical nonlinearities and mechanical stability of a photonic crystal membrane structure.
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