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            <title xml:lang="en">Simulation analysis of a novel bandpass fiber filter</title>
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              <p>A theoretical analysis of a new type of bandpass fiber filter is presented in this paper, which has the favorable transmission characteristics such as low loss, high optical rejection, flat top and steep edge etc.. These parameters are very important for the Wavelength Division Multiplexing (WDM) telecommunication systems. In our structure, a continuum spectrum is achieved thanks to a resonator cavity, formed by one mirror and a Linearly Chirped Fiber Bragg Grating (LCFBG). This grating is apodized along the fiber by a Super-Gaussian window function in order to make the output curves much smoother. Furthermore, the cavity length is calculated precisely by the continuum oscillation condition and this fiber filter is mathematically modeled and resolved by Transfer Matrix Method (TMM). The more efficient transmission of filter in our structure is observed when the reflector reflectivity at the both sides of the resonant cavity is symmetrical, in that case, the maximum output is 1. So, we could vary the coupling coefficient κ to control the maximum grating reflectivity for the purpose of making it be same as that of mirror's. Rather, there are other input parameters, for instance, the chirped value C, the length of grating L_B, and the mirror reflectivity R_M, which could influence the output results such as the grating reflectivity R_B, the transmission of filter T_F, the optical rejection of filter τ_op, and the bandwidth of filter Δλ_F. We have firstly plotted some schematics to find out the relations between the input and output parameters, and then with the restricted conditions about the input parameters, we have found finally the preferable input and output values for our structure. Besides, we observed that the bandwidth of filter could be also changed by apodization, in other words, the Super-Gaussian apodization plays an important role not only to smoothen the curves but to vary the width of bandpass as well.</p>
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