Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

  • 362 Accesses

Abstract

This chapter is a collection of appendices for this thesis. In Sect. 7.1, we show the details of the analysis in the framework of the Standard Model Extension. Section 7.2 is an introduction to the feedback control used in the laser frequency servo, and its noise analysis. Section 7.3 summarizes the basics of optical cavities and error signal extraction method used in our experiment. Section 7.4 describes the calibration measurement for the laser frequency actuation. Photos of the experimental setup are shown in Sect. 7.5.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. D. Colladay, V.A. Kostelecký, Lorentz-violating extension of the standard model. Phys. Rev. D 58, 116002 (1998)

    Google Scholar 

  2. V.A. Kostelecký, M. Mewes, Electrodynamics with Lorentz-violating operators of arbitrary dimension. Phys. Rev. D 80, 015020 (2009)

    Google Scholar 

  3. M. Mewes, Optical-cavity tests of higher-order Lorentz violation. Phys. Rev. D 85, 116012 (2012)

    Google Scholar 

  4. V.A. Kostelecký, M. Mewes, Constraints on relativity violations from gamma-ray bursts. Phys. Rev. Lett. 110, 201601 (2013)

    Google Scholar 

  5. V. Vasileiou, A. Jacholkowska, F. Piron, J. Bolmont, C. Couturier, J. Granot, F.W. Stecker, J. Cohen-Tanugi, F. Longo, Constraints on Lorentz invariance violation from Fermi-large area Telescope observations of gamma-ray bursts. Phys. Rev. D 87, 122001 (2013)

    Google Scholar 

  6. S.R. Parker, M. Mewes, P.L. Stanwix, M.E. Tobar, Cavity bounds on higher-order lorentz-violating coefficients. Phys. Rev. Lett. 106, 180401 (2011)

    Google Scholar 

  7. P.L. Stanwix, M.E. Tobar, P. Wolf, C.R. Locke, E.N. Ivanov, Improved test of Lorentz invariance in electrodynamics using rotating cryogenic sapphire oscillators. Phys. Rev. D 74, 081101(R) (2006)

    Google Scholar 

  8. A.A. Abdo et al., A limit on the variation of the speed of light arising from quantum gravity effects. Nature 462, 331 (2009)

    Google Scholar 

  9. T. Katayama, Fiidobakku Seigyo no Kiso (in Japanese; Asakura Publishing, 2002)

    Google Scholar 

  10. T.W. Hänsch, B. Couillaud, Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity. Opt. Commun. 35, 441 (1980)

    Google Scholar 

  11. S. Moriwaki, T. Mori, K. Takeno, N. Mio, Frequency discrimination method making use of polarization selectivity of triangular optical cavity. Appl. Phys. Express 2, 016501 (2009)

    Google Scholar 

  12. R. Clark Jones, A new calculus for the treatment of optical systems. J. Opt. Soc. Am. 31, 488 (1941)

    Google Scholar 

  13. R.W.P. Drever, J.L. Hall, F.V. Kowalski, J. Hough, G.M. Ford, A.J. Munley, H. Ward, Laser phase and frequency stabilization using an optical resonator. Appl. Phys. B 31, 97 (1983)

    Google Scholar 

  14. N. Ohmae, Laser system for second-generation gravitational-wave detectors, Doctoral thesis (University of Tokyo, 2011), pp. 58–69

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuta Michimura .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this chapter

Cite this chapter

Michimura, Y. (2017). Appendix. In: Tests of Lorentz Invariance with an Optical Ring Cavity. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-3740-5_7

Download citation

Publish with us

Policies and ethics