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Nonlinear Fiber Optics - 4 ed. Agrawal

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9.3. Brillouin <strong>Fiber</strong> Amplifiers 343<br />

Figure 9.8: Schematic illustration of a Brillouin amplifier; ECL, ISO, and PD stand for externalcavity<br />

laser, isolator, and photodetector, respectively. Solid and dash<strong>ed</strong> arrows show the path of<br />

pump and probe lasers. (After Ref. [61]; c○1986 AIP.)<br />

for G A in the range 20−30 dB, where P in is the incident power of the signal being<br />

amplifi<strong>ed</strong>. As discuss<strong>ed</strong> in Section 9.3.1, the saturation power of Brillouin amplifiers<br />

is ∼1 mW. In spite of gain saturation, Brillouin amplifiers are capable of providing<br />

30 dB gain at a pump power under 10 mW. However, because Δν B < 100 MHz, the<br />

bandwidth of such amplifiers is also less than 100 MHz, in sharp contrast with Raman<br />

amplifiers whose bandwidth exce<strong>ed</strong>s 5 THz. In fact, the difference between the signal<br />

and pump frequencies should be match<strong>ed</strong> to the Brillouin shift ν B (about 11 GHz in<br />

the 1.55-μm region) with an accuracy to better than 10 MHz. For this reason, Brillouin<br />

amplifiers are not suitable for amplifying signals in fiber-optic communication systems.<br />

Brillouin amplifiers may be useful in practice for applications requiring selective<br />

amplification [62]–[64]. One such application consists of amplifying the carrier of a<br />

modulat<strong>ed</strong> signal selectively, while leaving its modulation sidebands unamplifi<strong>ed</strong> [75].<br />

The underlying principle is similar to that of homodyne detection, except that the amplifi<strong>ed</strong><br />

carrier acts as a reference signal. This feature eliminates the ne<strong>ed</strong> of a local<br />

oscillator that must be phase lock<strong>ed</strong> to the transmitter—a difficult task in general. In a<br />

demonstration of this scheme, the carrier was amplifi<strong>ed</strong> by 30 dB more than the modulation<br />

sidebands even at a modulation frequency as low as 80 MHz [62]. With a proper<br />

design, sensitivity improvements of up to 15 dB or more are possible at bit rates in<br />

excess of 100 Mb/s. The limiting factor is the nonlinear phase shift induc<strong>ed</strong> by the<br />

pump (a kind of cross-phase modulation), if the difference between the pump and carrier<br />

frequencies does not match the Brillouin shift exactly. The calculations show [63]<br />

that deviations from the Brillouin shift should be within 100 kHz for a phase stability<br />

of 0.1 rad. <strong>Nonlinear</strong> phase shifts can also lead to undesirable amplitude modulation<br />

of a frequency-modulat<strong>ed</strong> signal [66].<br />

Another application of narrowband Brillouin amplifiers consists of using them as a<br />

tunable narrowband optical filter for channel selection in a densely pack<strong>ed</strong> multichannel<br />

communication system [64]. If channel spacing exce<strong>ed</strong>s but the bit rate is smaller<br />

than the bandwidth Δν B , the pump laser can be tun<strong>ed</strong> to amplify a particular channel<br />

selectively. This scheme was demonstrat<strong>ed</strong> in 1986 using a tunable color-center laser<br />

as a pump [64]. Two 45-Mb/s channels were transmitt<strong>ed</strong> through a 10-km-long fiber.

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