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Passive Optical Components



                                                                  Passive Optical Components  155


                        called the free spectral range (FSR). This is given by

                                                           λ 2
                                                     FSR =                               (9.10)
                                                           2nD
                          Another important parameter is the measure of the full width of the passband at its
                        half-maximum value, which is designated by FWHM (full-width half-maximum). This
                        is of interest in WDM systems for determining how many wavelengths can lie within
                        the FSR of the filter. The ratio FSR/FWHM gives an approximation of the number of
                        wavelengths that a filter can accommodate. This ratio is known as the finesse F of the
                        filter and is given by
                                                         π  R
                                                      F =                                (9.11)
                                                         1  −  R

                        In practice one uses a multilayer filter consisting of a stack of several dielec-
                      tric thin films separated by cavities, as shown in Fig. 9.9. The layers typically














                     Figure 9.9. A multilayer filter consists of a
                     stack of several dielectric thin films sepa-
                     rated by cavities.




















                     Figure 9.10. Transmission characteristics of three
                     different thin-film filter structures relative to the
                     peak wavelength.


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