Photonic crystal waveguide

QUEP simulations of 90-degree bends in a photonic crystal with the following specification: background refractive index n_b = 1.0, refractive index of square rods n_r = 3.4, rod width r = 0.15 µm, period of the photonic crystal p = 0.6 µm, refractive index of conventional port cores n_g = 1.8, width of the port waveguides w = 0.5 µm, N_r = 4 rows of rods enclose the photonic crystal channel. All calculations are meant for TE polarization, i.e. E_y is the single nonvanishing component of the electrical field.

The parameters for these simulations were adopted from R. Stoffer, H.J.W.M. Hoekstra, R.M. de Ridder, E. van Groesen, and F.P.H. van Beckum, Numerical studies of 2D photonic crystals: Waveguides, coupling between waveguides and filters, Optical and Quantum Electronics 32, 947--961 (2000). See also the references cited in that paper.

Wavelength dependence of the transmission

The bend configuration is excited at the bottom by the guided mode of the vertical core. P_R and P_T are the relative guided power fractions that are reflected and transmitted, respectively. Note that the simulations include the two transitions between the conventional slab waveguides and the waveguide established by the photonic crystal. The links at the positions indicated by the the blue tick marks lead to illustrations of the time dependent electric field.