Abstract

The most successful Ring Laser Gyroscopes (RLGs) are gas-laser based. It has been recently shown that the type of anomalous dispersion associated with fast light, when present inside an RLG, can increase its scale factor. We evaluate several proposed methods for realizing this appropriate dispersion in gas media, theoretically and experimentally. We find linear gas media in general to be unsuitable for this purpose, with mixed prospects for nonlinear effects.

© 2011 OSA

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References

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  1. M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
    [CrossRef]
  2. D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
    [CrossRef]
  3. D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
    [CrossRef]
  4. H. N. Yum and M. S. Shahriar, “Pump–probe model for the Kramers–Kronig relations in a laser,” J. Opt. 12(10), 104018 (2010).
    [CrossRef]
  5. F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
    [CrossRef]
  6. M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
    [CrossRef]
  7. D. H. Close, “Strong-field saturation effects in laser media,” Phys. Rev. 153(2), 360–371 (1967).
    [CrossRef]
  8. G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
    [CrossRef] [PubMed]

2010 (1)

H. N. Yum and M. S. Shahriar, “Pump–probe model for the Kramers–Kronig relations in a laser,” J. Opt. 12(10), 104018 (2010).
[CrossRef]

2009 (1)

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

2008 (1)

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

2007 (3)

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

1970 (1)

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

1967 (1)

D. H. Close, “Strong-field saturation effects in laser media,” Phys. Rev. 153(2), 360–371 (1967).
[CrossRef]

Arissian, L.

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

Bieber, T.

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

Carruthers, J. A.

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

Chang, H.

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

Chow, C. N. Y.

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

Close, D. H.

D. H. Close, “Strong-field saturation effects in laser media,” Phys. Rev. 153(2), 360–371 (1967).
[CrossRef]

Diels, J. C.

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

Faxvog, F. R.

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

Gopal, V.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

Messall, M.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

Myneni, K.

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

Odutola, J. A.

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

Pati, G. S.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

Salit, K.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

Salit, M.

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

Shahriar, M. S.

H. N. Yum and M. S. Shahriar, “Pump–probe model for the Kramers–Kronig relations in a laser,” J. Opt. 12(10), 104018 (2010).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

Smith, D.

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

Tripathi, R.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

Yum, H. N.

H. N. Yum and M. S. Shahriar, “Pump–probe model for the Kramers–Kronig relations in a laser,” J. Opt. 12(10), 104018 (2010).
[CrossRef]

Appl. Phys. Lett. (1)

F. R. Faxvog, C. N. Y. Chow, T. Bieber, and J. A. Carruthers, “Measured pulse velocity greater than c in a neon absorption cell,” Appl. Phys. Lett. 17(5), 192–193 (1970).
[CrossRef]

J. Mod. Opt. (1)

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, “Fast-light for astrophysics: super-sensitive gyroscopes and gravitational wave detectors,” J. Mod. Opt. 54(16-17), 2425–2440 (2007).
[CrossRef]

J. Opt. (1)

H. N. Yum and M. S. Shahriar, “Pump–probe model for the Kramers–Kronig relations in a laser,” J. Opt. 12(10), 104018 (2010).
[CrossRef]

Phys. Rev. (1)

D. H. Close, “Strong-field saturation effects in laser media,” Phys. Rev. 153(2), 360–371 (1967).
[CrossRef]

Phys. Rev. A (3)

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, “Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light,” Phys. Rev. A 75(5), 053807 (2007).
[CrossRef]

D. Smith, H. Chang, L. Arissian, and J. C. Diels, “Dispersion-enhanced laser gyroscope,” Phys. Rev. A 78(5), 053824 (2008).
[CrossRef]

D. Smith, K. Myneni, J. A. Odutola, and J. C. Diels, “Enhanced sensitivity of a passive optical cavity by an intracavity dispersive medium,” Phys. Rev. A 80(1), 011809 (2009).
[CrossRef]

Phys. Rev. Lett. (1)

G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Solid line: experimental difference in refractive index for laser fields differing in frequency by 1 GHz as a function of average frequency. Dashed line: theoretical index difference with density and temperature parameters tuned based on experimental data. Dotted line: index of refraction as a function of frequency deduced from n het =n( υ laser )n( ν laser +1GHz) .

Fig. 2
Fig. 2

Optical phase as a function of optical frequency for a 765uW probe laser passing through a Helium-Neon gain tube saturated by a separate 16mW beam.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

φ prop = ( L l g l ab )ω c + n gain ( ω ) l g ω c + n abs ( ω ) l ab ω c
l g v gg + l ab v gab + L vac c < l g + l ab + L vac c
l g ω 0 n gain | ω 0 < l ab ω 0 n abs | ω 0
d n gain / dω | ω 0 =( c γ g a g 2 α 0g π 1/2 / ω 0 )( 2/ π 1/2 2 a g S g )
γ g a g 2 α 0g π 1/2 ( 2 π 1/2 2 a g S g )> γ ab a ab 2 α 0ab π 1/2 ( 2 π 1/2 2 a ab S ab )
G| ω 0 = a g α 0g π 1/2 ( 1 S g 2 a g π 1/2 ), A| ω 0 = a ab α 0ab π 1/2 ( 1 S ab 2 a ab π 1/2 )
l b a g α 0g π 1/2 ( 1 S g 2 a g π 1/2 )> l ab a ab α 0ab π 1/2 ( 1 S ab 2 a ab π 1/2 )
γ ab γ g ( 2 π 1/2 2 a ab S ab ) ( 2 π 1/2 2 a g S g ) a g 2 α 0g l g a ab 2 α 0ab l ab ( 2 π 1/2 1 / ( S ab a ab ) ) ( 2 π 1/2 1 / ( S g a g ) )
γ ab a ab S ab γ g a g S g

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