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206                      4. Switching with Optics

                                         D







                                                      •lout



                          Fig. 4.3. A nonlinear FabryPerot etalon.


          Obviously T is a function of <5. Figure 4.4 plots T versus d for R i — R 2 — R.
       The maximum transmittance is unity and the minimum transmittance ap-
       proaches zero as R approaches unity. Therefore, the switching operation can
       be realized by changing n. If the etalon is initially set at the maximum T, change
       in d will switch Tto a low value.


         4.2.2. i. Self-switching
          When a nonlinear medium is placed in the etalon, the phase delay becomes

                               S = (2n/Wn 0 + n 2I)D,                 (4.8)
       where / is the total intensity in the etalon. In this case, the transmittance in Eq.
       (4.7) is a function of total intensity. On the other hand, the total intensity is
       related to the input intensity

                                                                      (4.9)
                                     = I. mT/B t
















                   0     2rrm                       2(m+l)rc  5

           Fig. 4.4. Transmittance of a Fabry -Perot etalon as a function of 6 for R, = R 2 = R.
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