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Synchronization properties of chaotic dynamics in two mutually coupled semiconductor lasers with optical feedback embedded in a photonic integrated circuit are investigated from the point of view of their dynamical content. A phenomenon in which the two lasers can show qualitatively different synchronization properties according to the frequency range of investigation and their nonlinear dynamics is identified and termed dynamics-dependent synchronization. In-phase synchronization is observed for original signals and antiphase synchronization is observed for low-pass filtered signals in the case where one of the lasers shows chaotic oscillations while the other laser exhibits low-frequency fluctuations dynamics. The experimental conditions causing the synchronization states to vary according to the considered frequency interval are studied and the key roles of asymmetric coupling strength and injection currents are clarified.

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We numerically investigate the change in synchronization property in different frequency components associated with laser dynamics, which is termed dynamics-dependent synchronization, in two mutually-coupled semiconductor lasers. We introduce an optical amplifier to implement asymmetric feedback, and we change the feedback strength of one of the two coupled lasers to observe dynamics-dependent synchronization. In-phase synchronization is observed for the original signals, while anti-phase synchronization is found for the low-passfiltered signals, in the presence of low-frequency fluctuation dropouts. We analyze dynamicsdependent synchronization by observing temporal changes in the short-term cross-correlation and the local optical frequency detuning.