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.Keywords: Tunable fiber Fabry-Perot filter, analysis and design,tuning range, initial parameters
1.INTRODUCTIONAccompany with the continuous revolution of Dense Wavelength Division Multiplexing (DWDM) optical network, the technology of node device is promoted to develop rapidly. A tunable optical filter with a sufficiently narrow passband and a sufficiently wide tuning range to allow extremely close channel spacings over the entire low-loss optical bandwidth window is necessary in spectral filtering application of DWDM system. Fiber Fabry-Perot filter is the most attractive one among the various filtering devices by its capabilities of wide-band coverage, low-cost and compactness [1][2][3][4] .TF-FFP consists of an air gap and two closely spaced partially reflective fiber face ends, the output wavelength makes use of multiple reflections through adjusting the gap distance. It can be tuned to select any one of multi-channels in a DWDM system or clean up the ASE noise from a broadband source. The relationship between the output wavelength and their driven voltage of TF-FFP filter is usually established through transmission intensity by photo detector, therefore the tuning range of filter is determined by the peak transmission intensity. The conventional model of multiple beam interference theory is based on the assumption that the light transmitted in the FFP is plane wave, then the output spectrum is the uniform comb spectrum, so the tuning range seems infinite large, but D. Marcuse [5] pointed out that the tuning range of TF-FFP filter is limited by the gap distance, which induced by the mismatch between the mode of fiber and air gap. In this paper we firstly analyzed the additional loss of multiple reflection in the air gap according to the theory of Gaussian beams model, combined the defect or intrinsic losses, the general transfer function expression of TF-FFP is derived. Then the influence of several kinds of initial parameters including initial reflectivity and air gap distance on transmission intensity has been discussed. The proposed approach can provide an important reference for designing and selecting TF-FFP in practice.