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New Combined Matrix Model for the Analysis of Merged Optical Fiber Gratings with both Long- and Short-Period Fiber Gratings

We propose a new combined matrix model to analyze merged optical fiber gratings concatenated by both long- and short-period fiber gratings (LPFGs/SPFGs). The proposed model is developed using a multiport lattice filter model for LPFGs and a fundamental matrix model for SPFGs. We demonstrate that the chirp SPFGs can be utilized as a core mode blocker for a single mode only.