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Modal Analysis Investigation of Mechanical Kerr Frequency Combs

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Topics in Nonlinear Mechanics and Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 228))

Abstract

The aim of this work is to theoretically investigate the possibility of Kerr frequency combs in mechanical systems. In particular, whether microelectromechanical devices (MEMS) can be used to generate frequency combs in a manner that is analogous to the optical frequency combs generated in optical microresonators with Kerr-type nonlinearity. The analysis assumes a beam-like micromechanical structure, and starting from the Euler-Bernoulli beam equation derives the necessary conditions in parameter space for the comb generation. The chapter equally presents potential means for the physical implementation of mechanical Kerr combs.

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Notes

  1. 1.

    Optical frequency comb is a laser source whose spectrum consists of a series of discrete, equally spaced frequency lines. Frequency combs can be generated by a number of mechanisms, including periodic modulation (in amplitude and/or phase) of a continuous-wave laser, four-wave mixing in nonlinear media, or stabilization of the pulse train generated by a mode-locked laser.

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Acknowledgements

This work is partly supported by a MEXT Grant-in-Aid for Scientific Research on Innovative Areas “Science of hybrid quantum systems” (Grant No. JP15H05869 and JP15K21727).

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Authors and Affiliations

  1. NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato-Wakamiya, Atsugi-Shi, Kanagawa, 243-0198, Japan

    Samer Houri, Daiki Hatanaka & Hiroshi Yamaguchi

  2. Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ, Delft, The Netherlands

    Yaroslav M. Blanter

Authors
  1. Samer Houri
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  2. Daiki Hatanaka
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  3. Yaroslav M. Blanter
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  4. Hiroshi Yamaguchi
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Correspondence to Samer Houri .

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  1. Faculty of Sciences Ain Chock, University Hassan II - Casablanca, Casablanca, Morocco

    Mohamed Belhaq

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Houri, S., Hatanaka, D., Blanter, Y.M., Yamaguchi, H. (2019). Modal Analysis Investigation of Mechanical Kerr Frequency Combs. In: Belhaq, M. (eds) Topics in Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 228. Springer, Singapore. https://doi.org/10.1007/978-981-13-9463-8_7

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