Abstract

We present a theoretical and experimental study of the ultranarrow bandwidth Faraday anomalous dispersion optical filter operating at the rubidium D1 line (795 nm). This atomic line gives better performance than other lines for key figures of merit, e.g., simultaneously 71% transmission, 445 MHz bandwidth, and 1.2 GHz equivalent-noise bandwidth.

© 2012 Optical Society of America

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  1. J. Menders, K. Benson, S. H. Bloom, C. S. Liu, and E. Korevaar, Opt. Lett. 16, 846 (1991).
    [CrossRef]
  2. T. Yin and B. Shay, IEEE Photon. Technol. Lett. 4, 488 (1992).
    [CrossRef]
  3. B. Yin, L. S. Alvarez, and T. M. Shay, “The Rb 780-nanometer Faraday anomalous dispersion optical filter: theory and experiment,” Tech. Rep., Jet Propulsion Laboratory, 1994.
  4. D. J. Dick and T. M. Shay, Opt. Lett. 16, 867 (1991).
    [CrossRef]
  5. B. Yin and T. Shay, Opt. Commun. 94, 30 (1992).
    [CrossRef]
  6. H. Chen, C. Y. She, P. Searcy, and E. Korevaar, Opt. Lett. 18, 1019 (1993).
    [CrossRef]
  7. Y. C. Chan and J. Gelbwachs, IEEE J. Quantum Electron. 29, 2379 (1993).
    [CrossRef]
  8. X. Yang, S. Li, C. Zhang, and H. Wang, J. Opt. Soc. Am. B 26, 1423 (2009).
    [CrossRef]
  9. R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Nat. Photon. 3, 103 (2009).
    [CrossRef]
  10. V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
    [CrossRef]
  11. F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
    [CrossRef]
  12. W. F. Krupke, R. J. Beach, V. K. Kanz, and S. A. Payne, Opt. Lett. 28, 2336 (2003).
    [CrossRef]
  13. J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
    [CrossRef]
  14. I. H. Agha, G. Messin, and P. Grangier, Opt. Express 18, 4198 (2010).
    [CrossRef]
  15. M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
    [CrossRef]
  16. A. Ceré, V. Parigi, M. Abad, F. Wolfgramm, A. Predojević, and M. W. Mitchell, Opt. Lett. 34, 1012 (2009).
    [CrossRef]
  17. F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
    [CrossRef]
  18. D. A. Steck, “Rubidium 85 D line data,” available online at http://steck.us/alkalidata (revision 2.1.4, Dec.23, 2010).
  19. D. A. Steck, “Rubidium 87 D line data,” available online at http://steck.us/alkalidata (revision 2.1.4, Dec.23, 2010).

2011

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

2010

I. H. Agha, G. Messin, and P. Grangier, Opt. Express 18, 4198 (2010).
[CrossRef]

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

2009

2003

W. F. Krupke, R. J. Beach, V. K. Kanz, and S. A. Payne, Opt. Lett. 28, 2336 (2003).
[CrossRef]

J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
[CrossRef]

1993

H. Chen, C. Y. She, P. Searcy, and E. Korevaar, Opt. Lett. 18, 1019 (1993).
[CrossRef]

Y. C. Chan and J. Gelbwachs, IEEE J. Quantum Electron. 29, 2379 (1993).
[CrossRef]

1992

T. Yin and B. Shay, IEEE Photon. Technol. Lett. 4, 488 (1992).
[CrossRef]

B. Yin and T. Shay, Opt. Commun. 94, 30 (1992).
[CrossRef]

1991

Abad, M.

Agha, I. H.

Alvarez, L. S.

B. Yin, L. S. Alvarez, and T. M. Shay, “The Rb 780-nanometer Faraday anomalous dispersion optical filter: theory and experiment,” Tech. Rep., Jet Propulsion Laboratory, 1994.

Beach, R. J.

Beduini, F. A.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

Benson, K.

Bloom, S. H.

Brezger, B.

J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
[CrossRef]

Buchler, B. C.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Camacho, R. M.

R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Nat. Photon. 3, 103 (2009).
[CrossRef]

Campbell, G.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Ceré, A.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

A. Ceré, V. Parigi, M. Abad, F. Wolfgramm, A. Predojević, and M. W. Mitchell, Opt. Lett. 34, 1012 (2009).
[CrossRef]

Chan, Y. C.

Y. C. Chan and J. Gelbwachs, IEEE J. Quantum Electron. 29, 2379 (1993).
[CrossRef]

Chen, H.

de Icaza Astiz, Y. A.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

Dick, D. J.

Dudin, Y. O.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

Gelbwachs, J.

Y. C. Chan and J. Gelbwachs, IEEE J. Quantum Electron. 29, 2379 (1993).
[CrossRef]

Grangier, P.

Hosseini, M.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Howell, J. C.

R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Nat. Photon. 3, 103 (2009).
[CrossRef]

Kanz, V. K.

Korevaar, E.

Koschorreck, M.

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

Krupke, W. F.

Lam, P. K.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Li, S.

Liu, C. S.

Lvovsky, A. I.

J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
[CrossRef]

Menders, J.

Messin, G.

Mitchell, M. W.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

A. Ceré, V. Parigi, M. Abad, F. Wolfgramm, A. Predojević, and M. W. Mitchell, Opt. Lett. 34, 1012 (2009).
[CrossRef]

Parigi, V.

Payne, S. A.

Predojevic, A.

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

A. Ceré, V. Parigi, M. Abad, F. Wolfgramm, A. Predojević, and M. W. Mitchell, Opt. Lett. 34, 1012 (2009).
[CrossRef]

Ries, J.

J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
[CrossRef]

Searcy, P.

Shay, B.

T. Yin and B. Shay, IEEE Photon. Technol. Lett. 4, 488 (1992).
[CrossRef]

Shay, T.

B. Yin and T. Shay, Opt. Commun. 94, 30 (1992).
[CrossRef]

Shay, T. M.

D. J. Dick and T. M. Shay, Opt. Lett. 16, 867 (1991).
[CrossRef]

B. Yin, L. S. Alvarez, and T. M. Shay, “The Rb 780-nanometer Faraday anomalous dispersion optical filter: theory and experiment,” Tech. Rep., Jet Propulsion Laboratory, 1994.

She, C. Y.

Sparkes, B. M.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Taichenachev, A. V.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

Velichansky, V. L.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

Vudyasetu, P. K.

R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Nat. Photon. 3, 103 (2009).
[CrossRef]

Wang, H.

Wolfgramm, F.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

A. Ceré, V. Parigi, M. Abad, F. Wolfgramm, A. Predojević, and M. W. Mitchell, Opt. Lett. 34, 1012 (2009).
[CrossRef]

Yang, X.

Yin, B.

B. Yin and T. Shay, Opt. Commun. 94, 30 (1992).
[CrossRef]

B. Yin, L. S. Alvarez, and T. M. Shay, “The Rb 780-nanometer Faraday anomalous dispersion optical filter: theory and experiment,” Tech. Rep., Jet Propulsion Laboratory, 1994.

Yin, T.

T. Yin and B. Shay, IEEE Photon. Technol. Lett. 4, 488 (1992).
[CrossRef]

Yudin, V. I.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

Zhang, C.

Zibrov, A. S.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

Zibrov, S. A.

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

IEEE J. Quantum Electron.

Y. C. Chan and J. Gelbwachs, IEEE J. Quantum Electron. 29, 2379 (1993).
[CrossRef]

IEEE Photon. Technol. Lett.

T. Yin and B. Shay, IEEE Photon. Technol. Lett. 4, 488 (1992).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Photon.

R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Nat. Photon. 3, 103 (2009).
[CrossRef]

Nat. Phys.

M. Hosseini, G. Campbell, B. M. Sparkes, P. K. Lam, and B. C. Buchler, Nat. Phys. 7, 794 (2011).
[CrossRef]

Opt. Commun.

B. Yin and T. Shay, Opt. Commun. 94, 30 (1992).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

V. I. Yudin, A. V. Taichenachev, Y. O. Dudin, V. L. Velichansky, A. S. Zibrov, and S. A. Zibrov, Phys. Rev. A 82, 033807 (2010).
[CrossRef]

J. Ries, B. Brezger, and A. I. Lvovsky, Phys. Rev. A 68, 025801 (2003).
[CrossRef]

Phys. Rev. Lett.

F. Wolfgramm, Y. A. de Icaza Astiz, F. A. Beduini, A. Ceré, and M. W. Mitchell, Phys. Rev. Lett. 106, 053602 (2011).
[CrossRef]

F. Wolfgramm, A. Ceré, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Phys. Rev. Lett. 105, 053601 (2010).
[CrossRef]

Other

B. Yin, L. S. Alvarez, and T. M. Shay, “The Rb 780-nanometer Faraday anomalous dispersion optical filter: theory and experiment,” Tech. Rep., Jet Propulsion Laboratory, 1994.

D. A. Steck, “Rubidium 85 D line data,” available online at http://steck.us/alkalidata (revision 2.1.4, Dec.23, 2010).

D. A. Steck, “Rubidium 87 D line data,” available online at http://steck.us/alkalidata (revision 2.1.4, Dec.23, 2010).

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Figures (2)

Fig. 1.
Fig. 1.

Absorption spectrum for Rb D1: theory (solid green), experiment (dashed black). FADOF transmission spectrum: theory (solid blue), experiment (solid red). Conditions: T=365K, B=4.5mT. Inset: FADOF setup.

Fig. 2.
Fig. 2.

Saturated absorption spectra of the Doppler-broadened line (Rb85 transitions from the F=3 ground state) for different coil currents. Splitting Δ between Zeeman-split lines provides a precise measure of the field.

Tables (1)

Tables Icon

Table 1. Comparison of Reported FADOF Transmission for Different Atoms and Wavelengths λa

Equations (9)

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

H^=EF+H^Ze+H^HF,
H^Ze=gJμB(B·J^)I2I+1gIμBI2J+1(B·I^),
H^HF=AHFD^HF+BHFQ^HF,
D^HF=J^I^,
Q^HF={3(J^I^)2+32J^I^I(I+1)J(J+1)2I(2I1)J(2J1)J>1/20otherwise,
DqJ,mJ,J,mJ=JD^J(1)J1+mJ×2J+1(J1JmJqmJ),
χqq(ω)=Z{85,87}NZ(T)ϵ0a,b|Dqab|2(ρbbρaa)×V(σ,Γ2,ωbaω),
V(σ,Γ2,ωbaω)=iπ2σ2ex2Erfc(x),
T=|Edet·Mcell·Ein|2,

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