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4.2. All-Optical Switches              211

       arrive at the SOA before the counterclockwise component. The difference in
       the arrival time (i) depends on the amount of offset x. The role of the control
       signal is to create a refractive index change by rapidly sweeping out some of
       the gain of the SOA. Therefore, a pulse passing through the SOA before the
       control pulse will experience different phase shift from the pulse passing
       through the SOA after the control pulse. The dynamics of the phase change in
       the SOA are shown in Fig. 4.13. With an offset, a control pulse, for example
       C t , can be timed to arrive at the SOA after the clockwise pulse (A^ has passed
       the SOA but before the counterclockwise pulse (BJ has arrived. If the
       interferometer is constructed such that, in the absence of the control signal, no
       input signal appears at the output port, and the control pulse induces a phase
       difference of n, the recombined clockwise and counterclockwise pulses will have
       constructive interference and emerge from the output. Subsequent data pulse
       pairs (A 2, B 2l and A 3, B 3) experience a similar gain and refractive index in the
       SOA that is slowly recovering. Therefore, the pulses in each of these pairs have
       a nearly identical phase shift passing through the SOA and no signal appears
       at the output port.
          A unique feature of this asymmetric scheme is that the switching window is
       determined by the offset x, instead of the relaxation time of the nonlinear effect.


                    Phase-
                    shift











                                          i
                    Control
                          m


                    Data
                              ni ni n.i

                        At Bi A 2 B 2 A 3 Bj              Time

       Fig. 4.13. The dynamics of the phase change in the SOA in asymmetric NOLM. T = x/v is the time
       delay between the two counterpropagating pulses, where x is the offset in Fig. 4.12 and v is the
       velocity of the pulse in the loop. Black symbols represent counterclockwise pulses and white
       symbols represent clockwise pulses.
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