ABSTRACT
We have investigated the transient characteristics of two types of chaos synchronization in a semiconductor laser subject to optical feedback: complete synchronization and strong injection locking-type synchronization. We have calculated the statistical distribution of the transient response time of synchronization when the initial position in the starting attractor is varied. For complete synchronization, the distribution of the transient response time has much larger average and variance than the average period of the chaotic oscillations. Conversely, a short transient response time is obtained for strong injection locking-type synchronization. We found that the transient response time is dependent upon the maximum Lyapunov exponent of the chaotic temporal waveform for complete synchronization, whereas it is almost constant for strong injection locking-type synchronization.
ABSTRACT
We demonstrate the dual synchronization of chaos in two pairs of one-way coupled Colpitts electronic oscillators by both experiment and numerical simulation. We use the cross coupling method, where the difference in voltage between the sum of two master oscillators and one slave oscillator is injected into the other slave oscillator as an electrical current, for dual synchronization of chaos. We have investigated the regions for achieving dual synchronization of chaos when one of the internal parameters is mismatched between the master and slave oscillators. We numerically obtain a similar curve for the accuracy of synchronization to that obtained from our experiments. A communication scheme using dual synchronization of chaos is also proposed and demonstrated.
ABSTRACT
We experimentally demonstrate synchronization of chaos in one-way coupled He-Ne lasers with optical feedback. We observe different types of synchronization such as identical synchronization, inverse synchronization, and random amplification. These dynamics are maintained only for a short duration of several hundred milliseconds. We also observe generalized synchronization of chaos by using one master and two slave lasers. The generalized synchronization is achieved for a long duration of tens of seconds under injection locking. The generalized synchronization is always maintained while the injection locking is achieved.
ABSTRACT
We experimentally demonstrate the dual synchronization of chaos in two pairs of Nd:YVO(4) microchip lasers in a one-way coupling configuration over one transmission channel. Dual synchronization is achieved when the optical frequency is matched between the corresponding pairs of lasers by using injection locking. We investigate the influence of optical injection from the two master lasers to one slave laser, and found that the dual synchronization is observed when the injection locking is achieved between either of the master lasers and the slave laser. Under the condition of the injection locking between both of the master lasers and the slave laser, the injection locking is alternately achieved and the accuracy of dual synchronization is degraded. We also confirm these results by numerical calculation.
ABSTRACT
We have achieved dual synchronization of chaos in two pairs of one-way coupled Nd:YVO4 microchip lasers, using only one transmission channel, by experiment and numerical calculation. We observed the individual synchronization of chaos in each pair of two lasers by adjusting the optical frequencies for injection locking between the corresponding pairs. The achievement of dual synchronization is dependent on the injection-locking condition, which is different from the locking condition for a single pair of lasers because of the presence of an additional injection signal from the master laser of the other pair.
ABSTRACT
We propose a chaos-synchronization scheme using incoherent feedback to the pumping power in two microchip lasers. The population inversion of the slave laser is controlled for synchronization by using the detected signals of the peak heights of chaotic pulse intensities in the two lasers. Matching of the optical frequencies between the two lasers (i.e., injection locking) is not required for synchronization using this method. We numerically demonstrate the incoherent feedback method and investigate synchronization regions against parameter mismatching between the two lasers. Synchronization is maintained within a mismatching of 1% for all laser parameters, which implies that the difficulty in reproducing the synchronized laser pulses is very useful for applications of secure optical communications.
ABSTRACT
We experimentally demonstrate a chaotic on-off keying method for secure communications by using chaos synchronization in two microchip lasers. The output of the microchip laser in the transmitter is externally modulated with an acousto-optic modulator at ~4 MHz . One encodes a digital message in the chaotic carrier by turning the modulation on and off at 100 kHz. Because the accuracy of synchronization for the slave laser in the receiver tends to be degraded in the presence of external modulation in the injection laser signal, one can distinguish two binary states. The digital message can be recovered as an envelope of the chaotic oscillation when the difference between the two laser outputs of the transmitter and the receiver is calculated.
