Abstract
In this chapter, we will show the experimental principle of testing Lorentz invariance with an optical ring cavity. In Sect. 3.1, the experimental principle is explained, and a double-pass configuration which we will employ is introduced. Section 3.2 shows the sensitivity goal to improve the current upper limits, and various noise sources and their requirements are described in Sect. 3.3.
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W.S.N. Trimmer, R.F. Baierlein, Anisotropic modification of Maxwell’s equations. Phys. Rev. D 8, 3326 (1973)
F. Zarinetchi, S. Ezekiel, Observation of lock-in behavior in a passive resonator gyroscope. Opt. Lett. 11, 6 (1986)
B.J. Cusack, D.A. Shaddock, B.J.J. Slagmolen, G. de Vine, M.B. Gray, D.E. McClelland, Double pass locking and spatial mode locking for gravitational wave detectors. Class. Quantum Grav. 19, 1819 (2002)
N. Ohmae, Laser system for second-generation gravitational-wave detectors. Doctoral thesis (University of Tokyo, 2011), pp. 58–69
F.N. Baynes, A.N. Luiten, M.E. Tobar, Testing Lorentz invariance using an odd-parity asymmetric optical resonator. Phys. Rev. D 84, 081101(R) (2011)
F.N. Baynes, M.E. Tobar, A.N. Luiten, Oscillating test of the isotropic shift of the speed of light. Phys. Rev. Lett. 108, 260801 (2012)
J.-P. Bocquet et al., Limits on light-speed anisotropies from compton scattering of high-energy electrons. Phys. Rev. Lett. 104, 241601 (2010)
N. Mio, Jyuryokuha wo Toraeru (in Japanese) ed. By T. Nakamura, N. Mio, M. Ohashi (Kyoto University Press, 1998), p. 210
T.W. Hänsch, B. Couillaud, Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity. Opt. Commun. 35, 441 (1980)
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)
G. Sagnac, The demonstration of the luminiferous aether by an interferometer in uniform rotation. Acad. Sci. Paris 157, 708 (1913)
R. Wang, Y. Zheng, A. Yao, Generalized Sagnac effect. Phys. Rev. Lett. 93, 143901 (2004)
E.J. Post, Sagnac effect. Rev. Mod. Phys. 39, 475 (1967)
P.R. Saulson, Fundamentals of Interferometric Gravitational Wave Detectors (World Scientific, Singapore, 1994), p. 127
H.B. Callen, T.A. Welton, Irreversibility and generalized noise. Phys. Rev. 83, 34 (1951)
K. Numata, A. Kemery, J. Camp, Thermal-noise limit in the frequency stabilization of lasers with rigid cavities. Phys. Rev. Lett. 93, 250602 (2004)
N. Nakagawa, A.M. Gretarsson, E.K. Gustafson, M.M. Fejer, Thermal noise in half-infinite mirrors with nonuniform loss: a slab of excess loss in a half-infinite mirror. Phys. Rev. D 65, 102001 (2002)
G. Cagnoli, L. Gammaitoni, J. Kovalik, F. Marchesoni, M. Punturo, Low-frequency internal friction in clamped-free thin wires. Phys. Lett. A 255, 230 (1999)
Matweb http://www.matweb.com/
J. Komma, C. Schwarz, G. Hofmann, D. Heinert, R. Nawrodt, Thermo-optic coefficient of silicon at 1550 nm and cryogenic temperatures. Appl. Phys. Lett. 101, 041905 (2012)
A. Sekiya, Kukan no Tohosei Kensho Jikken (in Japanese). Master thesis (University of Tokyo, 2000), p. 36. http://granite.phys.s.u-tokyo.ac.jp/theses/sekiya_m.pdf
S. Herrmann, A. Senger, K. Möhle1, M. Nagel, E.V. Kovalchuk, A. Peters, Rotating optical cavity experiment testing Lorentz invariance at the \( 10 ^{-17 }\) level. Phys. Rev. D 80, 105011 (2009)
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Michimura, Y. (2017). Optical Ring Cavity. In: Tests of Lorentz Invariance with an Optical Ring Cavity. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-3740-5_3
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