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We demonstrate that the tuning of the optical properties of a photoniccrystal infiltrated with liquid crystal can be calculate using the Von-Lauediffraction condition. We present a simple formula to predict the shift of thestop band for all the diffraction orders using an effective index of thecomposite structure. We consider that our formula is useful to determine in asimple manner the shift of the optical properties of tunable photonic crystals.We compare the accuracy of our method with calculations obtained with the PlaneWave Method.

Analytical determination of the stop band tuning of photonic crystals infiltrated with liquid crystals