Theory of chaos synchronization and quasi-period synchronization of an all optic 2n-D LAN

Theory of chaos synchronization and quasi-period synchronization of an all optics local area network (O-LAN) is deeply studied and discussed, where two coupled-lasers are used as network’s double-star and the other single-lasers are used as network nodes. The LAN operates double-star lasers to drive node lasers in two links to perform a 2n−D (n is a positive integer, dimensions (D)) laser network. The O-LAN has the characteristics of an all optics LAN with double-center and two link nodes. Our theoretical and numerical results prove that the double-center lasers can obtain their synchronizations with each laser in two link nodes. A route to chaos after a quasi-period bifurcation is analyzed to illustrate dynamics distribution region of O-LAN. We find five quasi-period regions, four chaos regions, where there is a region where instability mixes with the first chaos, and a stable region. We find also that O-LAN can obtain its parallel multi-dynamics synchronizations, such as cycle-one synchronization, cycle-2 synchronization, cycle-3 synchronization, cycle-4 synchronization, cycle-5 synchronization, other quasi-period synchronization and chaos synchronization, shown in two links of O-LAN by shifting the currents of the lasers in one link. The theory of all optics LAN and its obtained results are useful to study on complex dynamic system, optics network, artificial intelligence, chaos and its synchronization.

The Overlap Factor Model of Spin-Polarised Coupled Lasers

A general model for the dynamics of arrays of coupled spin-polarised lasers is derived. The general model is able to deal with waveguides of any geometry with any number of supported normal modes. A unique feature of the model is that it allows for independent polarisation of the pumping in each laser. The particular geometry is shown to be introduced via ’overlap factors’, which are a generalisation of the optical confinement factor. These factors play an important role in determining the laser dynamics. The model is specialised to the case of a general double-guided structure, which is shown to reduce to both the spin flip model in a single cavity and the coupled mode model for a pair of guides in the appropriate limit. This is applied to the particular case of a circular-guide laser pair, which is analysed and simulated numerically. It is found that increasing the ellipticity of the pumping tends to reduce the region of instability in the plane of pumping strength versus guide separation.

Chaotic Synchronization of Mutually Coupled Lasers with Another Laser and Its Encoding Application in Secret Communication

A chaotic synchronization based on mutually coupled different semiconductor lasers and its coding communications are studied. A route to chaos is illustrated by a bifurcate diagram. Chaotic distribution is presented in two lasers. The synchronization equation is given in theory. A chaotic synchronization is obtained between the emitter and the receiver. Other complex dynamical behavior synchronizations are also obtained, such as period-5 and period-10 synchronizations. Cascade synchronizations are achieved. A novel On/Off coding system is presented while its chaotic phase encoding is successfully implemented. Chaos key is also numerically simulated. We find that synchronization can still be achieved when the parameter of the emitter changes at any time so that the newly generated chaotic carrier can ensure mask the information in each communication. Then the real-time variable parameter results in difficulty for eavesdroppers to decipher. Compared with a single laser emitter, this emitter has many secret keys and high security, which is beneficial to its potential application in secret communication.