Insertion loss caused by diffraction effects may yield low throughput in the Fabry-Perot tunable filter. A bidirectional
beam propagation method (BPM) is introduced to describe the relationship between the related parameters such as length
of air gap and mirror reflectivity and the insertion loss of fiber Fabry-Perot filter. The numerical simulation results
indicate that the method can provide a simple and useful way for the device design.
The effective reflectivity of planar tunable filter fiber Fabry-Perot (TF-FFP) caused by coupling losses would led to the
change of tuning range and the full width half maximum (FWHM) in the process of gap distance tuning. The general
transfer function expression of FFP is developed by Gaussian beams model and coupling losses. A method that is by
appropriate unsymmetrical reflectivity of fiber end can increase the tuning range and reduce the FWHM is proposed, the
obtained parameters may be useful for the analysis and design of other TF-FFP. At last the initial gap position and
reflectivities of both ends of TF-FFP are designed theoretically for C-band and C+L-band respectively.
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