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We present a semi-analytic method to calculate the dispersion curves and thegroup velocity of photonic crystal waveguide modes in two-dimensionalgeometries. We model the waveguide as a homogenous strip, surrounded byphotonic crystal acting as diffracting mirrors. Following conventionalguided-wave optics, the properties of the photonic crystal waveguide may becalculated from the phase upon propagation over the strip and the phase uponreflection. The cases of interest require a theory including the specular orderand one other diffracted reflected order. The computational advantages let usscan a large parameter space, allowing us to find novel types of solutions.

Semi-analytic method for slow light photonic crystal waveguide design