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Theoretical Basis of Sagnac Effect in Fiber Gyroscopes

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Fiber-Optic Rotation Sensors and Related Technologies

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 32))

Abstract

Simple kinematics considerations give the first order value of the Sagnac phase shift in a rotating vacuum interferometer [1]. It is more complicated to treat the problem when the waves travel within a dielectric medium, as in the case of a fiber gyroscope. Then both Fizeau and Doppler effects occur and compensate the influence of the index of refraction. The results appear to be independent of the properties of the medium [2]. They depend only on the light frequency, the length of the closed loop and its radius. But for the waveguide configuration of fiber rotation sensors where modal dispersion occurs, an electrodynamic approach is more rigorous.

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References

  1. E.J. Post, Rev. Mod. Phys., 39, 475 (1967)

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  2. H.J. Arditty and H. C. Lefevre, Optics Letters, 6, 401, 1981

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  3. J.L. Anderson and J.W. Ryon, Physical Review, 181, 1765, (1969)

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  4. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Pergamon Press, New York (1975)

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  5. H. Arzelies, Cinematique Relativiste, Ed. Gauthier-Villars, Paris (1955x)

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  6. See for example M.A. Tonnelat, Principles of Electromagnetic Theory and Relativity, Gordon and Breach, London (1966)

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  7. W.A. Gambling, H. Matsumura and C.M. Ragdale, Electronics Letters, 14, 130, (1978)

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Author information

Authors and Affiliations

  1. Laboratoire Central de Recherches, Domaine de Corbeville, Thomson CSF, BP 10, F-91401, Orsay, France

    H. J. Arditty

  2. Edward L. Ginzton Laboratory, Stanford University, Stanford, CA, 94305, USA

    H. C. Lefèvre

Authors
  1. H. J. Arditty
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  2. H. C. Lefèvre
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Editor information

Editors and Affiliations

  1. Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Shaoul Ezekiel

  2. Laboratoire Central de Recherches, Domaine de Corbeville, Thomson-CSF, B.P.10, F-91401, Orsay Cedex, France

    Hervé J. Arditty

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© 1982 Springer-Verlag Berlin Heidelberg

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Arditty, H.J., Lefèvre, H.C. (1982). Theoretical Basis of Sagnac Effect in Fiber Gyroscopes. In: Ezekiel, S., Arditty, H.J. (eds) Fiber-Optic Rotation Sensors and Related Technologies. Springer Series in Optical Sciences, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39490-7_3

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  • DOI: https://doi.org/10.1007/978-3-540-39490-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-13527-3

  • Online ISBN: 978-3-540-39490-7

  • eBook Packages: Springer Book Archive

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