Exact solution to the steady-state dynamics of a periodically modulated resonator

Minkov, Momchil; Shi, Yu; Fan, Shanhui

doi:10.1063/1.4985381

Cited by 57 publications

(61 citation statements)

References 35 publications

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“…This adiabatic approximation is valid when the modulation frequency Ω, the range of resonant frequency modulation ∆ and the linewidth of the resonance γ satisfy ∆Ω γ 2 [52]. In our studied system, Ω/γ ≈ 0.009, ∆/γ < 1.7, therefore the adiabatic approximation is valid.…”

Section: Appendix F: Numerical Simulationmentioning

confidence: 64%

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Huygens’ Metadevices for Parametric Waves

et al. 2018

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Huygens' metasurfaces have demonstrated almost arbitrary control over the shape of a scattered beam, however its spatial profile is typically fixed at fabrication time. Dynamic reconfiguration of this beam profile with tunable elements remains challenging, due to the need to maintain the Huygens' condition across the tuning range. In this work, we experimentally demonstrate that a time-varying meta-device which performs frequency conversion, can steer transmitted or reflected beams in an almost arbitrary manner, with fully dynamic control. Our time-varying Huygens' metadevice is made of both electric and magnetic meta-atoms with independently controlled modulation, and the phase of this modulation is imprinted on the scattered parametric waves, controlling their shapes and directions. We develop a theory which shows how the scattering directionality, phase and conversion efficiency of sidebands can be manipulated almost arbitrarily. We demonstrate novel effects including all-angle beam steering and frequency-multiplexed functionalities at microwave frequencies around 4 GHz, using varactor diodes as tunable elements. We believe that the concept can be extended to other frequency bands, enabling metasurfaces with arbitrary phase pattern that can be dynamically tuned over the complete 2π range. arXiv:1807.08873v3 [physics.app-ph] 2 Dec 2018 AUTHOR CONTRIBUTION M. Liu conceived the idea, performed the theoretical, numerical and experimental studies, with support from

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Section: Appendix F: Numerical Simulationmentioning

confidence: 64%

“…In this paper, we only study the behavior in the adiabatic limit of modulation, while a detailed theoretical discussion of modulation beyond the adiabatic limit can be found in Ref. [52].…”

Section: Design Of Huygens' Units For Parametric Wavesmentioning

confidence: 99%

Huygens’ Metadevices for Parametric Waves

et al. 2018

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“…We have experimentally demonstrated the theoretical predictions in the analytical work of Minkov et al 25 , using a fiber ring resonator with an electro-optic phase modulator inside the cavity. We observed dynamical input isolation and suppression of drop-port transmission when the cavity was on resonance with the input laser, for appropriate parameters of the modulation.…”

Section: Conclusion and Final Remarksmentioning

confidence: 78%

“…Thus, the transmission can be completely suppressed for zero laser-cavity detuning, i.e., Δ = 0, if the peak phase excursion of the modulation 0 /Ω is a zero of the Bessel function 0 25 . This is essentially a classical dynamical isolation effect 26 .…”

Section: Theorymentioning

confidence: 99%

“…In particular, the intracavity power in a dynamically modulated ring resonator can be completely suppressed even when the input laser is on resonance with the ring, as opposed to the static ring where the intracavity power is maximized on resonance. Thus, a dynamical isolation of the cavity from the input laser can be achieved by operating in the nonadiabatic regime 25,26 .…”

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confidence: 99%

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Experimental Demonstration of Dynamical Input Isolation in Nonadiabatically Modulated Photonic Cavities

et al. 2018

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Modulated optical cavities have been proposed and demonstrated for applications in communications, laser frequency stabilization, microwave-to-optical conversion and frequency comb generation. However, most studies are restricted to the adiabatic regime, where either the maximum excursion of the modulation or the modulation frequency itself is below the linewidth of the cavity. Here, using a fiber ring resonator with an embedded electro-optic phase modulator, we investigate the nonadiabatic regime. By strongly driving the modulator at frequencies that are significantly smaller than the free-spectral range of the ring resonator, but well beyond the linewidth of the resonator, we experimentally observe counterintuitive behavior predicted in a recent theoretical study by Minkov et al. [APL Photonics 2, 076101 (2017)], such as the complete suppression of drop-port transmission even when the input laser wavelength is on resonance with the optical cavity. This can be understood as dynamical isolation of the cavity from the input light. We also show qualitative differences in the steady-state responses of the system between the adiabatic and nonadiabatic limits. Our experiments probe a seldom explored regime of operation that is promising for applications in integrated photonic systems with current state-of-the-art technology.

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Exact solution to the steady-state dynamics of a periodically modulated resonator

Cited by 57 publications

References 35 publications

Huygens’ Metadevices for Parametric Waves

Huygens’ Metadevices for Parametric Waves

Experimental Demonstration of Dynamical Input Isolation in Nonadiabatically Modulated Photonic Cavities

Recent Topics inMIMOAntenna Systems

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