Generating various laser sources is important in the communication systems. We propose an approach that uses a mechanical resonator coupled with the optical fibre system to produce periodic and chaotic optical signals. The resonator is structured in such a way that the nonlinear oscillation occurs conveniently. The mechanical apparatus in the configuration is the well known resonating system featured by the negative stiffness. The mechanical resonance is converted to reflected optical signal with the same dynamic properties as the mechanical oscillation, subsequently interacting with the optical signal within the optical fibre. The optical radiative force on the mechanical structure is also considered in the analysis. The coupled electro-optomechanical system has been analysed, and results show that the mechanical resonator has the capability to control the dynamics of the optical signal precisely. The system will have potential applications in tunable laser sources.
A 2.4 GHz fractional-N PLL implemented in 65-nm CMOS process is presented in this letter. A TSPC dual-modulus prescaler is proposed to reduce the PLL's power consumption by merging one of the branches of the true single-phase clocked (TSPC) D flip-flops. The measured synthesizer output frequency ranges from 2.16 to 2.7 GHz, and consumes 8 mW from a 1.3 V power supply. The in-band phase noise is −98 dBc/Hz at 100 kHz offset, and −115 dBc/Hz at 1 MHz offset at a carrier frequency of 2.438 GHz. The circuit achieves the RMS jitter of 0.86 ps and figure of merit of −230 dB, with the fractional spurs below −55 dBc.
Duffing resonators are typical dynamic systems, which can exhibit chaotic oscillations, subject to certain driving conditions. Chaotic oscillations of resonating systems with negative and positive spring constants are identified to investigate in this paper. Parametric driver imposed on these two systems affects nonlinear behaviours, which has been theoretically analyzed with regard to variation of driving parameters (frequency, amplitude). Systematic calculations have been performed for these two systems driven by parametric pumps to unveil the controllability of chaos.
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