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Rouard's method is used to model the spectral response of type I-IR gratings. Type I-IR gratings are shown to have a broader bandwidth and larger sideband suppression than would be expected from standard type I UV-written gratings. These properties are related to the nonlinear dependence of the index change on intensity. At higher intensities the spectral response indicates saturation of the index change growth rate.
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Smelser et al. (2006) studied this question.
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