Semiconductor lasers: Stability, instability and chaos by Junji Ohtsubo

Semiconductor lasers: Stability, instability and chaos by Junji Ohtsubo

By Junji Ohtsubo

This 3rd version of “Semiconductor Lasers, balance, Instability and Chaos” was once considerably prolonged. within the earlier version, the dynamics and features of chaos in semiconductor lasers after the advent of the basic thought of laser chaos and chaotic dynamics precipitated via self-optical suggestions and optical injection was once mentioned. Semiconductor lasers with new gadget constructions, resembling vertical-cavity surface-emitting lasers and broad-area semiconductor lasers, are fascinating units from the point of view of chaotic dynamics due to the fact that they basically contain chaotic dynamics even of their free-running oscillations. those subject matters also are taken care of with recognize to the hot advancements within the present version. additionally the regulate of such instabilities and chaos keep an eye on are severe matters for functions. one other fascinating and critical factor of semiconductor laser chaos during this 3rd version is chaos synchronization among lasers and the applying to optical safe verbal exchange. one of many new themes during this version is quickly actual quantity iteration utilizing chaotic semiconductor lasers for safe conversation and improvement of chaos chips and their software. As different new very important issues, the hot develop of recent semiconductor laser constructions is gifted, comparable to quantum-dot semiconductor lasers, quantum-cascade semiconductor lasers, vertical-cavity surface-emitting lasers and actual random quantity new release with software to quantum key distribution. Stabilities, instabilities, and keep an eye on of quantum-dot semiconductor lasers and quantum-cascade lasers are very important issues during this field.

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We already presented such an example in Fig. 2. 43). This is known as the bad-cavity condition of a laser that gives rise to unstable laser oscillations. 45) 2Tph T2 T1 Namely, the bad-cavity of a laser oscillation is a lossy and dissipative system for photons having a low quality factor Q of the resonator. Further discussion of the bad-cavity conditions and instabilities above the second laser threshold can be found in van Tartwijk and Agrawal (1998). 44) were derived for the condition of zero frequency detuning δ = 0.

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We need not take into account this effect for ordinary narrow-stripe edge-emitting semiconductor lasers, because the stripe width of the active region is small enough (∼3 µm). However, it plays an important role for the dynamics in VCSELs and broad-area lasers. For those lasers, the terms for carrier diffusion are included in the laser rate equations and the laser dynamics are greatly affected by the non-negligible finite stripe size. The effects will be discussed in Chap. 8. 1 Linear Stability Analysis We have already introduced linear stability analysis for a steady-state laser operation in Sect.

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