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Optomechanical Crystal Devices

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Cavity Optomechanics

Part of the book series: Quantum Science and Technology ((QST))

Abstract

We present the basic ideas and techniques utilized in recent work on optomechanical crystals. Optomechanical crystals are nanofabricated cavity optomechanical systems where the confinement of light and motion is obtained by nanopatterning periodic structures in thin-films. In this chapter we start from a basic review of the properties of optical and elastic waves in nanostructures, before introducing the properties and design of periodic structures. After reviewing fabrication and characterization methods, experimental results in 1D and 2D systems are presented.

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Notes

  1. 1.

    In a way, this approach is more general, since it applies to non-crystalline materials as well, so long as the wavelengths are larger than the interatomic spacing.

  2. 2.

    Summations are implied over repeated indices.

  3. 3.

    The optical modes of structures in this chapter arise from engineering this TE mode, and thus in the following sections we will only plot the value of \(E_x\) on the \(z=0\) plane when representing optical mode profiles.

  4. 4.

    We refer the reader to a text on condensed matter physics [16] for a completely analogous treatment of these concepts for electrons.

  5. 5.

    The band diagrams for phonons shown in Figs. 10.6, 10.7, and 10.8 look similar and hide this essential distinction. We remind the reader that the bands for the 2D structures represent modes along a path traversing the boundary of the FBZ, while in the band diagram for a 1D structure shown in Fig. 10.6, all of the points in the FBZ are represented.

  6. 6.

    It is possible to generate mechanical modes with nonzero optomechanical coupling that do not have the “correct” Bloch function \(\sigma _y\) mirror symmetry (e.g, the ‘accordion’ modes demonstrated in Ref. [37]). However, a higher order resonance of the defect must be used. We do not consider these designs here as they generally have lower optomechanical coupling rates than fundamental modes formed from \(\varGamma \)-point Bloch functions with \((+_y)\) symmetry.

  7. 7.

    Recently 1D-OMC cavities with full phononic bandgaps have been demonstrated [66].

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Acknowledgments

The authors would like to acknowledge the significant contributions to this work by Jasper Chan, Matt Eichenfield, Jeff Hill, Simon Gröblacher, Thiago Alegre, Alex Krause, Sean Meenehan, and Justin Cohen. The work was supported by the DARPA ORCHID and MESO programs, the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation, and the Kavli Nanoscience Institute at Caltech. ASN gratefully acknowledges support from NSERC.

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Authors and Affiliations

  1. California Institute of Technology, Pasadena, USA

    Amir H. Safavi-Naeini & Oskar Painter

  2. ETH Zürich, Zürich, Switzerland

    Amir H. Safavi-Naeini

  3. Stanford University, Stanford, USA

    Amir H. Safavi-Naeini

  4. The Max Planck Institute for the Science of Light (MPL), Erlangen, Germany

    Oskar Painter

Authors
  1. Amir H. Safavi-Naeini
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  2. Oskar Painter
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Correspondence to Amir H. Safavi-Naeini .

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Editors and Affiliations

  1. Fakultät für Physik, Universität Wien, Vienna, Austria

    Markus Aspelmeyer

  2. SB - PH - LPQM, École polytechnique fédérale de Lausanne, Lausanne, Switzerland

    Tobias J. Kippenberg

  3. Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Erlangen, Germany

    Florian Marquardt

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Safavi-Naeini, A.H., Painter, O. (2014). Optomechanical Crystal Devices. In: Aspelmeyer, M., Kippenberg, T., Marquardt, F. (eds) Cavity Optomechanics. Quantum Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55312-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-55312-7_10

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