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Nonlinear Fiber Optics - 4 ed. Agrawal

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8.2. Quasi-Continuous SRS 287<br />

Figure 8.7: Schematic of a high-power all-fiber Raman laser. Two fiber Bragg gratings (FBG)<br />

act as mirrors and form a Fabry–Perot cavity. A third grating is us<strong>ed</strong> to reflect residual pump<br />

back into the laser cavity. The middle grating acts as the output coupler (OC) and is made weakly<br />

reflecting. (After Ref. [68]; c○2004 IEEE.)<br />

in tuning puls<strong>ed</strong> Raman lasers over a wide wavelength range. The tuning rate can be<br />

obtain<strong>ed</strong> as follows. If the cavity length is chang<strong>ed</strong> by ΔL, the time delay Δt should be<br />

exactly compensat<strong>ed</strong> by a wavelength change Δλ such that<br />

Δt ≡ ΔL/c = |D(λ)|LΔλ, (8.2.2)<br />

where L is the fiber length and D is the dispersion parameter introduc<strong>ed</strong> in Section<br />

1.2.3. The tuning rate is therefore given by<br />

Δλ<br />

ΔL = 1<br />

cL|D(λ)| = λ 2<br />

2πc 2 L|β 2 | , (8.2.3)<br />

where Eq. (1.2.11) was us<strong>ed</strong> to relate D to the GVD coefficient β 2 . The tuning rate<br />

depends on the fiber length L and the wavelength λ, and is typically ∼1 nm/cm. In one<br />

experiment, a tuning rate of 1.8 nm/cm with a tuning range of 24 nm was obtain<strong>ed</strong> for<br />

L = 600 m and λ = 1.12 μm [56].<br />

Synchronously pump<strong>ed</strong> Raman lasers have attract<strong>ed</strong> attention for generating ultrashort<br />

optical pulses [61]. In general, it becomes necessary to take into account the<br />

effects of GVD, group-velocity mismatch, SPM, and XPM when such lasers are puls<strong>ed</strong><br />

using pump pulses of widths below 100 ps. These effects are discuss<strong>ed</strong> in Section 8.3.<br />

If the Raman pulse falls in the anomalous GVD regime of the fiber, the soliton effects<br />

can create pulses of widths ∼100 fs or less. Such lasers are call<strong>ed</strong> Raman soliton lasers<br />

and are cover<strong>ed</strong> in Section 8.4.<br />

The development of Raman lasers advanc<strong>ed</strong> considerably during the 1990s. A new<br />

feature was the integration of cavity mirrors within the fiber to make a compact device.<br />

In an early approach, a ring-cavity configuration was us<strong>ed</strong> to make a low-threshold,<br />

all-fiber Raman laser using a fiber loop and a fiber coupler [62]. With the advent<br />

of fiber Bragg gratings, it has become possible to replace cavity mirrors with such<br />

gratings [63]. Fus<strong>ed</strong> fiber couplers can also be us<strong>ed</strong> for this purpose. In an interesting<br />

approach, three pairs of fiber gratings or couplers are arrang<strong>ed</strong> such that they form<br />

three cavities for the three Raman lasers operating at wavelengths 1.117, 1.175, and<br />

1.24 μm, corresponding to the first-, second-, and third-order Stokes lines of a 1.06-<br />

μm pump [65]. The resulting 1.24-μm Raman laser is useful for amplifying 1.31-μm<br />

signals [66].<br />

The same approach can be us<strong>ed</strong> for making a 1.48-μm Raman laser if a phosphosilicate<br />

fiber is us<strong>ed</strong> [67]. Such a fiber provides a Stokes shift of nearly 40 THz and

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