Abstract

We propose precision measurements of ultra-small angular velocities of a mirror within a modified Sagnac interferometer, where the counter-propagating beams are spatially separated, using the recently proposed technique of almost-balanced weak values amplification (ABWV) [Phys. Rev. Lett. 116, 100803 (2016) [CrossRef]  ]. The separation between the two beams provides additional amplification with respect to using collinear beams in a Sagnac interferometer. Within the same setup, the weak-value amplification technique is also performed for comparison. Much higher amplification factors can be obtained using the almost-balanced weak values technique, with the best one achieved in our experiments being as high as 1.2×107. In addition, the amplification factor monotonically increases with decreasing of the post-selection phase for the ABWV case in our experiments, which is not the case for weak-value amplification (WVA) at small post-selection phases. Both techniques consist of measuring the angular velocity. The sensitivity of the ABWV technique is 38  nrad/s per averaged pulse for a repetition rate of 1 Hz and 33  nrad/s per averaged pulse for the WVA technique.

© 2017 Optical Society of America

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References

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    [Crossref]
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  3. V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
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    [Crossref]
  6. Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
    [Crossref]
  7. J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
    [Crossref]
  8. A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Phys. Rev. X 4, 011031 (2014).
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  10. O. Hosten and P. Kwiat, Science 319, 787 (2008).
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  11. M. Pfeifer and P. Fischer, Opt. Express 19, 16508 (2011).
    [Crossref]
  12. X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
    [Crossref]
  13. P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
    [Crossref]
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    [Crossref]
  18. G. Jayaswal, G. Mistura, and M. Merano, Opt. Lett. 39, 6257 (2014).
    [Crossref]
  19. D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 063822 (2010).
    [Crossref]
  20. G. I. Viza, J. Martínez-Rincón, G. A. Howland, H. Frostig, I. Shomroni, B. Dayan, and J. C. Howell, Opt. Lett. 38, 2949 (2013).
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    [Crossref]
  23. P. Egan and J. A. Stone, Opt. Lett. 37, 4991 (2012).
    [Crossref]
  24. J. Martínez-Rincón, W. T. Liu, G. I. Viza, and J. C. Howell, Phys. Rev. Lett. 116, 100803 (2016).
    [Crossref]
  25. C. Fang, J. Z. Huang, Y. Yu, Q. Z. Li, and G. H. Zeng, J. Phys. B 49, 175501 (2016).
    [Crossref]
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    [Crossref]
  27. K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
    [Crossref]
  28. Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
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    [Crossref]
  30. The amplification factor is 1/Φ in case of ABWV and 2/Φ for WVA, respectively. The best observed Φ is 83 nrad for ABWV and 4  μrad for WVA. Therefore the maximum amplification from ABWV is 4 μrad / (83 nrad * 2) ~ 24 times larger than that of WVA.

2016 (4)

J. Martínez-Rincón, W. T. Liu, G. I. Viza, and J. C. Howell, Phys. Rev. Lett. 116, 100803 (2016).
[Crossref]

C. Fang, J. Z. Huang, Y. Yu, Q. Z. Li, and G. H. Zeng, J. Phys. B 49, 175501 (2016).
[Crossref]

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

G. I. Viza, J. Martínez-Rincón, W. T. Liu, and J. C. Howell, Phys. Rev. A 94, 043825 (2016).
[Crossref]

2015 (2)

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Phys. Rev. A 92, 032127 (2015).
[Crossref]

2014 (5)

O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Phys. Rev. Lett. 112, 200401 (2014).
[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Phys. Rev. X 4, 011031 (2014).
[Crossref]

S. Pang, J. Dressel, and T. A. Brun, Phys. Rev. Lett. 113, 030401 (2014).
[Crossref]

G. Jayaswal, G. Mistura, and M. Merano, Opt. Lett. 39, 6257 (2014).
[Crossref]

2013 (4)

G. I. Viza, J. Martínez-Rincón, G. A. Howland, H. Frostig, I. Shomroni, B. Dayan, and J. C. Howell, Opt. Lett. 38, 2949 (2013).
[Crossref]

G. Strübi and C. Bruder, Phys. Rev. Lett. 110, 083605 (2013).
[Crossref]

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

2012 (3)

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[Crossref]

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

P. Egan and J. A. Stone, Opt. Lett. 37, 4991 (2012).
[Crossref]

2011 (5)

2010 (2)

N. Brunner and C. Simon, Phys. Rev. Lett. 105, 010405 (2010).
[Crossref]

D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 063822 (2010).
[Crossref]

2009 (1)

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

2008 (1)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

1997 (1)

T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Phys. Rev. Lett. 78, 2046 (1997).
[Crossref]

1988 (1)

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[Crossref]

Aharonov, Y.

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[Crossref]

Albert, D. Z.

Y. Aharonov, D. Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
[Crossref]

Alves, G. B.

G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Phys. Rev. A 92, 032127 (2015).
[Crossref]

Aolita, L.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Bouyer, P.

T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Phys. Rev. Lett. 78, 2046 (1997).
[Crossref]

Boyd, R. W.

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Phys. Rev. Lett. 112, 200401 (2014).
[Crossref]

Bruder, C.

G. Strübi and C. Bruder, Phys. Rev. Lett. 110, 083605 (2013).
[Crossref]

Brun, T. A.

S. Pang, J. Dressel, and T. A. Brun, Phys. Rev. Lett. 113, 030401 (2014).
[Crossref]

Brunner, N.

N. Brunner and C. Simon, Phys. Rev. Lett. 105, 010405 (2010).
[Crossref]

Cheng, Z.-D.

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

Chiow, S.-W.

D’Ambrosio, V.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Dayan, B.

Del Re, L.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Dickerson, S.

Dixon, P. B.

D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 063822 (2010).
[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Dressel, J.

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

S. Pang, J. Dressel, and T. A. Brun, Phys. Rev. Lett. 113, 030401 (2014).
[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

Egan, P.

Fang, C.

C. Fang, J. Z. Huang, Y. Yu, Q. Z. Li, and G. H. Zeng, J. Phys. B 49, 175501 (2016).
[Crossref]

Fang, S.-Z.

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

Feizpour, A.

A. Feizpour, X. Xing, and A. M. Steinberg, Phys. Rev. Lett. 107, 133603 (2011).
[Crossref]

Fickler, R.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Fischer, P.

Frostig, H.

Gundlach, J. H.

Guo, G. C.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Guo, G.-C.

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

Gustavson, T. L.

T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Phys. Rev. Lett. 78, 2046 (1997).
[Crossref]

Hagedorn, C. A.

Hammer, J.

Hogan, J. M.

Hosten, O.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

Howell, J. C.

J. Martínez-Rincón, W. T. Liu, G. I. Viza, and J. C. Howell, Phys. Rev. Lett. 116, 100803 (2016).
[Crossref]

G. I. Viza, J. Martínez-Rincón, W. T. Liu, and J. C. Howell, Phys. Rev. A 94, 043825 (2016).
[Crossref]

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Phys. Rev. A 92, 032127 (2015).
[Crossref]

A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Phys. Rev. X 4, 011031 (2014).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. A. Howland, H. Frostig, I. Shomroni, B. Dayan, and J. C. Howell, Opt. Lett. 38, 2949 (2013).
[Crossref]

D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 063822 (2010).
[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Howland, G. A.

Hu, G.

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

Huang, J. Z.

C. Fang, J. Z. Huang, Y. Yu, Q. Z. Li, and G. H. Zeng, J. Phys. B 49, 175501 (2016).
[Crossref]

Jayaswal, G.

Johnson, D. M. S.

Jordan, A. N.

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Phys. Rev. A 92, 032127 (2015).
[Crossref]

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Phys. Rev. X 4, 011031 (2014).
[Crossref]

D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 063822 (2010).
[Crossref]

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[Crossref]

Kasevich, M. A.

J. K. Stockton, K. Takase, and M. A. Kasevich, Phys. Rev. Lett. 107, 133001 (2011).
[Crossref]

J. M. Hogan, J. Hammer, S.-W. Chiow, S. Dickerson, D. M. S. Johnson, T. Kovachy, A. Sugarbaker, and M. A. Kasevich, Opt. Lett. 36, 1698 (2011).
[Crossref]

T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Phys. Rev. Lett. 78, 2046 (1997).
[Crossref]

Kedem, Y.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Kovachy, T.

Krenn, M.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Kwek, L. C.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Kwiat, P.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[Crossref]

Kwiat, P. G.

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

Lapkiewicz, R.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Li, C. F.

X. Y. Xu, Y. Kedem, K. Sun, L. Vaidman, C. F. Li, and G. C. Guo, Phys. Rev. Lett. 111, 033604 (2013).
[Crossref]

Li, C.-F.

Y.-T. Wang, J.-S. Tang, G. Hu, J. Wang, S. Yu, Z.-Q. Zhou, Z.-D. Cheng, J.-S. Xu, S.-Z. Fang, Q.-L. Wu, C.-F. Li, and G.-C. Guo, Phys. Rev. Lett. 117, 230801 (2016).
[Crossref]

Li, Q. Z.

C. Fang, J. Z. Huang, Y. Yu, Q. Z. Li, and G. H. Zeng, J. Phys. B 49, 175501 (2016).
[Crossref]

Li, Y.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Liu, W. T.

J. Martínez-Rincón, W. T. Liu, G. I. Viza, and J. C. Howell, Phys. Rev. Lett. 116, 100803 (2016).
[Crossref]

G. I. Viza, J. Martínez-Rincón, W. T. Liu, and J. C. Howell, Phys. Rev. A 94, 043825 (2016).
[Crossref]

Luo, H.

X. Zhou, Z. Xiao, H. Luo, and S. Wen, Phys. Rev. A 85, 043809 (2012).
[Crossref]

Lyons, K.

K. Lyons, J. Dressel, A. N. Jordan, J. C. Howell, and P. G. Kwiat, Phys. Rev. Lett. 114, 170801 (2015).
[Crossref]

Magaña-Loaiza, O. S.

O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Phys. Rev. Lett. 112, 200401 (2014).
[Crossref]

Malik, M.

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

Marrucci, L.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Martínez-Rincón, J.

J. Martínez-Rincón, W. T. Liu, G. I. Viza, and J. C. Howell, Phys. Rev. Lett. 116, 100803 (2016).
[Crossref]

G. I. Viza, J. Martínez-Rincón, W. T. Liu, and J. C. Howell, Phys. Rev. A 94, 043825 (2016).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. B. Alves, A. N. Jordan, and J. C. Howell, Phys. Rev. A 92, 032127 (2015).
[Crossref]

A. N. Jordan, J. Martínez-Rincón, and J. C. Howell, Phys. Rev. X 4, 011031 (2014).
[Crossref]

G. I. Viza, J. Martínez-Rincón, G. A. Howland, H. Frostig, I. Shomroni, B. Dayan, and J. C. Howell, Opt. Lett. 38, 2949 (2013).
[Crossref]

Merano, M.

Miatto, F. M.

J. Dressel, M. Malik, F. M. Miatto, A. N. Jordan, and R. W. Boyd, Rev. Mod. Phys. 86, 307 (2014).
[Crossref]

Mirhosseini, M.

O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Phys. Rev. Lett. 112, 200401 (2014).
[Crossref]

Mistura, G.

Pang, S.

S. Pang, J. Dressel, and T. A. Brun, Phys. Rev. Lett. 113, 030401 (2014).
[Crossref]

Pfeifer, M.

Plick, W. N.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Ramelow, S.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Rodenburg, B.

O. S. Magaña-Loaiza, M. Mirhosseini, B. Rodenburg, and R. W. Boyd, Phys. Rev. Lett. 112, 200401 (2014).
[Crossref]

Schaeff, C.

R. Fickler, R. Lapkiewicz, W. N. Plick, M. Krenn, C. Schaeff, S. Ramelow, and A. Zeilinger, Science 338, 640 (2012).
[Crossref]

Schlamminger, S.

Sciarrino, F.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, Nat. Commun. 4, 2432 (2013).
[Crossref]

Shomroni, I.

Simon, C.

N. Brunner and C. Simon, Phys. Rev. Lett. 105, 010405 (2010).
[Crossref]

Slussarenko, S.

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Other (1)

The amplification factor is 1/Φ in case of ABWV and 2/Φ for WVA, respectively. The best observed Φ is 83 nrad for ABWV and 4  μrad for WVA. Therefore the maximum amplification from ABWV is 4 μrad / (83 nrad * 2) ~ 24 times larger than that of WVA.

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Figures (3)

Fig. 1.
Fig. 1.

Illustration of the experimental setup. The interferometer consists of one beam splitter (BS) and two mirrors (M1 and M2) with one of them (M1) rotating with angular velocity ω0=156  nrad/s. The counter-propagating beams are spatially separated, introducing a phase shift due to the tilt of the rotating mirror. Both ports are tracked and by blocking or unblocking one of them, measurements using the WVA or ABWV technique can be performed.

Fig. 2.
Fig. 2.

Time shifts for the WVA (blue circles) and the ABWV (red squares) techniques. The values for φ and time shifts are all obtained from experimental data by Gaussian fitting. Each point shows the mean and the standard deviation for statistics over 60 pulses. The solid lines show the expected time shift as a function of φ.

Fig. 3.
Fig. 3.

Angular velocity ω0 retrieved from experimental results for the WVA (blue circles) and ABWV (red squares) techniques. The solid lines show the expected value of ω0 calculated according to the response of the piezo actuated mirror mount and the parameters of the applied ramp.

Equations (4)

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I+(t)=I0et2/2τ2,
I(t)=I04||1+ei[2k0L(φ+ω0t)+π2]|2|1ei[2k0L(φ+ω0t)+π2]|2|,
I0sin(2k0Lφ)e(tω0τ2/φ)2/2τ2.
IWVA=I0sin2(k0Lφ)e(t2ω0τ2/φ)2/2τ2,

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