Empirical Relations for Design of Linear Edge Filters Using Apodized Linearly Chirped Fiber Bragg Grating

Apodized linearly chirped Bragg grating (CFBG) filters have been studied with a view of determining an optimal set of grating parameters to design and fabricate linear edge filter for Bragg grating sensor demodulation. A rigorous numerical computation towards understanding the relation of all the grating parameters with filter characteristics like the linear bandwidth and slope efficiency produced some simple empirical formula for the design of edge filters of specific desired characteristics. The results are corroborated with experiments.