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Analysis of losses in 2D photonic crystal membrane waveguides using the 3D FDTD method

The 3D finite difference time domain (FDTD) method is used to obtain the loss per unit length in a 2D photonic crystal membrane waveguide by simulating three different length guides. Results are shown for propagation both above and below the light-line. The results are compared with a Fourier expansion method and good agreement is obtained above and below the light-line.