We demonstrate experimentally that flat and broadband chaotic signals can be easily generated by combining a multi-mode laser diode subject to optical feedback with a band-pass filter. Measurements are made of the RF spectra of multi-mode and single-mode outputs from an external cavity Fabry-Perot (FP) semiconductor laser before and after the filtering procedure. In this way it is found that in the chaos regime the low-frequency energy of the single-mode output is enhanced by about 25 dB comparing with that of the multi-mode output. Moreover, the associated 3-dB chaos bandwidth can reach around 6 GHz for the single mode case. Numerical demonstrations show mode competition is the physical origin of the low-frequency enhancement in the single-mode chaotic outputs.

Observation of flat chaos generation using an optical feedback multi-mode laser with a band-pass filter.

Bidirectional chaos synchronization and communication in semiconductor lasers with optoelectronic feedback

Based on the framework of the spin-flip model (SFM) for GHz level modulation frequency, the polarization performances of current-modulated vertical-cavity surface-emitting lasers (VCSELs) subject to weak optical feedback have been theoretically investigated. The results show that, for type 1 polarization switching (PS), the influences of optical feedback intensity and the current modulation amplitude on the high-frequency modulation response is not obvious. For low-frequency modulation, optical feedback will result in the output of a VCSEL having rich dynamics. A new style PS can be obtained under large-signal modulation through adjusting the modulation frequency. For type 2 PS the situation is more complex, and optical feedback increases the probability of polarization conversion and competition, while also affecting the PS point. The modulation amplitude also affects the output dynamics of the VCSEL.

Theoretical investigations on the polarization performances of current-modulated VCSELs subject to weak optical feedback

This paper investigates the MED (Minimum Entransy Dissipation) optimization of heat transfer processes with the generalized heat transfer law q ∝ (Δ(T
 n
 ))
 m
 . For the fixed amount of heat transfer, the optimal temperature paths for the MED are obtained. The results show that the strategy of the MED with generalized convective law q ∝ (ΔT)
 m
 is that the temperature difference keeps constant, which is in accordance with the famous temperature-difference-field uniformity principle, while the strategy of the MED with linear phenomenological law q ∝ Δ(T
 −1) is that the temperature ratio keeps constant. For special cases with Dulong-Petit law q ∝ (ΔT)1.25 and an imaginary complex law q ∝ (Δ(T
 4))1.25, numerical examples are provided and further compared with the strategies of the MEG (Minimum Entropy Generation), CHF (Constant Heat Flux) and CRT (Constant Reservoir Temperature) operations. Besides, influences of the change of the heat transfer amount on the optimization results with various heat resistance models are discussed in detail.

Entransy dissipation minimization for generalized heat exchange processes

Satellite attitude dynamics, nonlinear systems with high dimension and are nonlinear and chaotic. In this paper, attitude control and synchronization two identical chaotic satellite with different initial conditions based on the control design is proposed. Using the Lyapunov theory stability controller has been demonstrated. Finally, according to the simulation results, the synchronization is complete, the control signal is low that changes are the ability to build and implement.

/pdf/control-and-synchronization-chaotic-satellite-using-active-3tldhve9wh.pdf

Control and Synchronization Chaotic Satellite using Active Control

Influence of injection patterns on chaos synchronization performance between a multimode laser diode and a single-mode laser

The modulation response characteristics of a Fabry-Perot semiconductor laser (slave FP-LD) subjected to light injection from another Fabry-Perot semiconductor laser (master FP-LD) have been investigated theoretically. The results show that the modulation response performances of the slave FP-LD depend on the light injection strength, the central mode frequency detuning Δf and the mode spacing difference Δλ between the slave FP-LD and the master FP-LD. With the increase of the light injection strength from the master FP-LD, the 3 dB modulation bandwidth of the slave FP-LD will be enhanced; however, if the injection strength is increased to certain degree, the front side of the relaxation oscillation peak will be reduced to below 3 dB, which results in the rapid decrease of the 3 dB modulation bandwidth. With the increase of Δf, for a relatively small injection strength level, the 3 dB modulation bandwidth will behave a monotonous enlargement until the slave FP-LD operates in a period-one state (P1). For a relatively strong optical injection level, the slave FP-LD has a broad injection-locked frequency detuning area. Within the injection-locked area, with the increase of frequency detuning Δf, the 3dB modulation bandwidth increases at first and then decreases after experiencing a maximum value. For given light injection strength and frequency detuning, the 3 dB modulation bandwidth of the slave FP-LD has two maximums and behaves a symmetrical distribution with the change of Δλ. By choosing reasonable parameters, the 3 dB modulation bandwidth can be significantly improved. For the parameter values selected in this paper, the 3 dB modulation bandwidth can increase 5.5 times compared with the case of free running.

Modulation response performances of a Fabry-Perot semiconductor laser subjected to light injection from another Fabry-Perot semiconductor laser

In this paper, after taking into account two situations that the polarization of the injection light is parallel or orthogonal
with the solitary vertical-cavity surface-emitting laser (VCSEL) output light, the nonlinear dynamic characteristics of an
optical injection VCSEL are investigated numerically. The simulated results show that VCSEL can exhibit periodic
oscillations, deterministic chaos and other complex instabilities under optical injection. For parallel or orthogonal optical
injection, the same injection coefficients have different effects on the output of VCSEL. By properly adjusting the
injection strength or detuning frequency, the dynamical state of the laser output can be controlled to a fixed state, and the
polarization of the VCSEL output light can also be controlled.

Studying the nonlinear dynamic characteristics of an optically injection vertical-cavity surface-emitting laser

Based on the ray tracing method, the implicit expression of the output spectrum of the extremely short external cavity
semiconductor Laser (ESECSL) is derived, and the output spectrum and P-I characteristic of the ESECSL are
investigated. The results show that: when the length of external cavity is changed at the order of wavelength, the P-I
characteristics of the ESECSL will undergo significant changes; with the variation of the external cavity length, the
lasing wavelength of ESECSL will behave cyclical jump in the range of 10nm. Especially, for the external cavity length
changed within the range of 40μm-70μm, the jump range of the lasing wavelength will reach the maximum. The
simulations well agree with the experimental results reported.

Theoretical model and simulation of the extremely short external cavity semiconductor laser

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Papers

Influence of injection patterns on chaos synchronization performance between a multimode laser diode and a single-mode laser

Modulation response performances of a Fabry-Perot semiconductor laser subjected to light injection from another Fabry-Perot semiconductor laser

Studying the nonlinear dynamic characteristics of an optically injection vertical-cavity surface-emitting laser

Theoretical model and simulation of the extremely short external cavity semiconductor laser