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Rotational Doppler shift of the light transmitted behind a rotating object with rotational symmetries: rotational Doppler shift of the transmitted light

  • Regular Article – Optical Phenomena and Photonics
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Abstract

We investigate both theoretically and experimentally the decomposition of a fundamental Gaussian beam transmitted behind an absorbing propeller-like object. We use a Laguerre Gaussian basis which modes carry orbital angular momentum. The main contributing components correspond to modes having the same rotational symmetry as the object, thus enabling pattern recognition. When the object is rotated, the frequency of the modes of the basis experiences a rotational Doppler shift characterizing the movement, that can be easily detected. Potential applications in target recognition and rotation identification are then considered, including rotational Doppler shifts using microwaves.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: Data can be made available upon reasonable request.]

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Acknowledgements

We wish to acknowledge technical support from X. Morvan and J.-R. Thébault.

Author information

Authors and Affiliations

  1. Université de Rennes 1, Campus de Beaulieu, 35000, Rennes, France

    Olivier Emile

  2. CNRS IPR UMR 6251, Université de Rennes 1, 35000, Rennes, France

    Janine Emile

  3. CNRS IETR UMR 6164, Université de Rennes 1, 35000, Rennes, France

    Christian Brousseau

  4. CAILabs, 38 Boulevard Albert 1er, 35200, Rennes, France

    Tangi le Guennic, Pu Jian & Guillaume Labroille

Authors
  1. Olivier Emile
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  2. Janine Emile
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  3. Christian Brousseau
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  4. Tangi le Guennic
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  5. Pu Jian
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  6. Guillaume Labroille
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All the authors were involved in the preparation of the manuscript and contribute equally. All the authors have read and approved the final manuscript.

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Correspondence to Olivier Emile.

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Emile, O., Emile, J., Brousseau, C. et al. Rotational Doppler shift of the light transmitted behind a rotating object with rotational symmetries: rotational Doppler shift of the transmitted light. Eur. Phys. J. D 76, 8 (2022). https://doi.org/10.1140/epjd/s10053-022-00338-1

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