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216                      4. Switching with Optics

         Controlled switching can also be realized via soliton collisions (or overlap),
       When copolarized solitons with different group velocities collide (or pass
       through each other), an offset in arrival time and phase occurs for both solitons
       relative to the case when there is no soliton collision. For small-frequency
       difference, phase shift greater than it can be induced by the collision [1], This
       phase shift can be used in the interference of two solitons, and the output can
       be changed from zero to unity, depending on whether or not a collision occurs,


         4.2.4.3. Semiconductor Amplifier as a Nonlinear Medium
         NOLM was first realized using optical fiber as a nonlinear medium. Very
       fast switching processing is possible in a glass fiber interferometer because the
       response and relaxation times of the intrinsic nonlinear optical refraction in
       glass are a few femtoseconds. The main drawbacks stem from the small optical
       nonlinearity. For example, to produce a n nonlinear phase shift at a control
       power level of 100 mW, the required length of the fiber at 1.55 /im wavelength
       is around 200 km.
         For an interferometer with long optical path, the stability is significantly
       degraded. It is also difficult to integrate such an interferometer into other
       optical devices.
         A good nonlinear material is needed in order to implement optical switches.
       The essential material requirements are sufficient large nonlinear coefficients
       and low optical loss coefficients such that switching operation can achieve at
       a practical optical power level. The best nonlinear medium to date for
       switching applications appears to be semiconductor optical amplifiers (SOA)
       [H]-
         A SOA is a laser diode with the reflectivity of the end faces minimized.
       Strong nonlinearity of SO As was discovered when associated effects, such as
       frequency chirping, were easily detected. In fact, much work has been done to
       minimize the nonlinear effects in SOAs. The nonlinearity in SO As is a resonant
       effect. If an optical beam with photon energy slightly larger than the bandgap
       is incident on an SOA, it is amplified through stimulated emission. The
       amplification saturates as the conduction band is depopulated. The change in
       gain coefficient due to saturation causes the variations in refractive index, as
       described by the Kramer-Kronig relations. The change in refractive index is
       proportional to the optical intensity, provided the gain is not fully depleted.
                                          8
       The refractive nonlinearity of SOAs is 10  times larger than that of silica fiber,
       and optical loss is not an issue since the power of the control and data signals
       is amplified.
         An interesting configuration using a SOA in a NOLM is an asymmetrical
       arrangement as shown in Fig. 4.12 [12]. A data pulse is split into clockwise
       and counterclockwise components by the input coupler. Since the SOA is
       placed asymmetrically with an offset x in the loop, the clockwise pulse will
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