Unified approach to cascaded stimulated Brillouin scattering and frequency-comb generation

Dong, Mark; Winful, Herbert G.

doi:10.1103/physreva.93.043851

Cited by 19 publications

(12 citation statements)

References 24 publications

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“…We simulated the cascaded memory using standard coupled mode equations [28,29] and an implicit fourth order Runge-Kutta approach as a solver [29]. The results of the numerical study are in qualitative agreement with our experimental results and are presented in Fig.…”

Section: Fig 2 Operation Principle Of the Cascaded Brillouin Memory A)supporting

confidence: 77%

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On-chip multi-stage optical delay based on cascaded Brillouin light storage

et al. 2018

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Storing and delaying optical signals plays a crucial role in data centers, phased array antennas, communication, and future computing architectures. Here, we show a delay scheme based on cascaded Brillouin light storage that achieves multi-stage delay at arbitrary positions within a photonic integrated circuit. Importantly these multiple resonant transfers between the optical and acoustic domain are controlled solely via external optical control pulses, allowing cascading of the delay without the need of aligning multiple structural resonances along the optical circuit.

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Section: Fig 2 Operation Principle Of the Cascaded Brillouin Memory A)supporting

confidence: 77%

“…refractive index n. The amplitudes of the optical and acoustic waves have been normalized such that |A D/C | 2 is the power in Watts and the data and control pulses have a Gaussian shape [29]:…”

Section: Fig 2 Operation Principle Of the Cascaded Brillouin Memory A)mentioning

confidence: 99%

On-chip multi-stage optical delay based on cascaded Brillouin light storage

et al. 2018

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“…We followed the model described in Refs. [37,56,57], and added a nonlinear coupling term to the coupled Lugiato-Lefever equations. We performed calculations with Eqs.…”

Section: Appendix Appendix A: Effect Of Nonlinear Couplings Between C...mentioning

confidence: 99%

Effect on Kerr comb generation in a clockwise and counter-clockwise mode coupled microcavity

Fujii¹,

Hori²,

Kato³

et al. 2017

Opt. Express

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We study the impact of inherent mode coupling between clockwise (CW) and counter-clockwise (CCW) modes on Kerr comb generation in a small whispering-gallery mode microcavity. Our numerical analysis using a coupled Lugiato-Lefever equation reveals the range of the coupling strength in which a soliton pulse can be obtained in the CW direction. It also showed that CCW comb power depends on the coupling strength between the CW and CCW modes. In addition to the simulation, we conducted an experiment to confirm that the power ratio between the CW and CCW comb modes depends on the coupling strength, and the experimental results agree well with the simulation results. This study helps us to understand the relationship between CW and CCW mode coupling and Kerr comb generation, and the effect on soliton formation.

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“…The formalism presented so far is particularly well suited for the combination of FBS with other optical nonlinearities, especially Raman-scattering and the Kerr effect. This is because the multi-Stokes optical envelope readily covers nonlinear interference terms between various Stokes orders, which have to be explicitly included in more conventional coupled mode theory [28] and would clutter the equations for cascaded Brillouin scattering [29]. The dynamics of solitons in optical fibres can be expressed by a retarded nonlinear Schroedinger equation, [30] where the instantaneous Kerr effect and Raman scattering enter through the convolution of the optical intensity with a (time-dependent) response function r(t) as the convolution kernel.…”

Section: B Connection Of Intra-mode Fbs To Raman Scattering and Solit...mentioning

confidence: 99%

Cascaded forward Brillouin scattering to all Stokes orders

et al. 2017

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View the article online for updates and enhancements. AbstractInelastic scattering processes such as Brillouin scattering can often function in cascaded regimes and this is likely to occur in certain integrated opto-acoustic devices. We develop a Hamiltonian formalism for cascaded Brillouin scattering valid for both quantum and classical regimes. By regarding Brillouin scattering as the interaction of a single acoustic envelope and a single optical envelope that covers all Stokes and anti-Stokes orders, we obtain a compact model that is well suited for numerical implementation, extension to include other optical nonlinearities or short pulses, and application in the quantum-optics domain. We then theoretically analyze intra-mode forward Brillouin scattering (FBS) for arbitrary waveguides with and without optical dispersion. In the absence of optical dispersion, we find an exact analytical solution. With a perturbative approach, we furthermore solve the case of weak optical dispersion. Our work leads to several key results on intra-mode FBS. For negligible dispersion, we show that cascaded intra-mode FBS results in a pure phase modulation and discuss how this necessitates specific experimental methods for the observation of fiber-based and integrated FBS. Further, we discuss how the descriptions that have been established in these two classes of waveguides connect to each other and to the broader context of cavity opto-mechanics and Raman scattering. Finally, we draw an unexpected striking similarity between FBS and discrete diffraction phenomena in waveguide arrays, which makes FBS an interesting candidate for future research in quantum-optics.

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Unified approach to cascaded stimulated Brillouin scattering and frequency-comb generation

Cited by 19 publications

References 24 publications

On-chip multi-stage optical delay based on cascaded Brillouin light storage

On-chip multi-stage optical delay based on cascaded Brillouin light storage

Effect on Kerr comb generation in a clockwise and counter-clockwise mode coupled microcavity

Cascaded forward Brillouin scattering to all Stokes orders

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