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Nonlinear dynamics induced by external optical injection in ...

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<strong>Nonl<strong>in</strong>ear</strong> <strong>dynamics</strong> <strong>in</strong> semiconductor lasers 771<br />

Figure 4. Measured <strong>optical</strong> spectra of the conventional, edge-emitt<strong>in</strong>g semiconductor laser with<br />

J ˜ = 2 3 under <strong>optical</strong> <strong><strong>in</strong>jection</strong> at the free-runn<strong>in</strong>g <strong>optical</strong> frequency: (a) free-runn<strong>in</strong>g operation<br />

with an expanded scale show<strong>in</strong>g the relaxation resonance sidebands; (b) unstable <strong><strong>in</strong>jection</strong><br />

lock<strong>in</strong>g, limit cycle, at ξ 2 = 1 × 10 −4 with an expanded scale spectrum; (c) period doubl<strong>in</strong>g<br />

at ξ 2 = 3 × 10 −4 with features shown clearly <strong>in</strong> the expanded scale; (d) chaotic <strong>dynamics</strong> at<br />

ξ 2 = 1.3×10 −3 ;(e) limit cycle at ξ 2 = 3.6×10 −3 ;(f) period doubl<strong>in</strong>g at ξ 2 = 7.2×10 −3 ;(g)<br />

transition back to the limit cycle at ξ 2 = 1.7 × 10 −2 and (h) stable operation at ξ 2 = 8.5 × 10 −2<br />

along with an expanded scale spectrum and the expanded scale sideband spectrum of the master<br />

laser.

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