Abstract

We have observed optical bistability caused by absorption-induced thermal expansion of mirrors forming a Fabry–Perot interferometer. From the resulting anomalous transmission line shapes, absorption coefficients of the mirror coatings as low as 0.2  parts in 106 (ppm) have been successfully measured.

© 1997 Optical Society of America

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References

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  1. P. Meystre and M. Sargent, Elements of Quantum Optics (Springer-Verlag, New York, 1991).
  2. H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, San Diego, Calif., 1985), and references therein.
  3. A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
    [CrossRef]
  4. A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
    [CrossRef]
  5. P. Berman, ed., Cavity Quantum Electrodynamics (Academic, San Diego, Calif., 1994).
  6. P. Roche, M. Commandre, L. Escoubas, J. P. Borgogno, G. Albrand, and B. Lazarides, Appl. Opt. 35, 5059 (1996).
    [CrossRef] [PubMed]
  7. M. Commandre and P. Roche, Appl. Opt. 35, 5021 (1996).
    [CrossRef]
  8. K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
    [CrossRef]
  9. K. An, C. Yang, R. R. Dasari, and M. S. Feld, Opt. Lett. 20, 1068 (1995).
    [CrossRef]

1996

1995

K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
[CrossRef]

K. An, C. Yang, R. R. Dasari, and M. S. Feld, Opt. Lett. 20, 1068 (1995).
[CrossRef]

1985

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

1983

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Albrand, G.

An, K.

K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
[CrossRef]

K. An, C. Yang, R. R. Dasari, and M. S. Feld, Opt. Lett. 20, 1068 (1995).
[CrossRef]

Barbarino, S. J.

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

Borgogno, J. P.

Commandre, M.

Dasari, R. R.

K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
[CrossRef]

K. An, C. Yang, R. R. Dasari, and M. S. Feld, Opt. Lett. 20, 1068 (1995).
[CrossRef]

Dorsel, A.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Escoubas, L.

Feld, M. S.

K. An, C. Yang, R. R. Dasari, and M. S. Feld, Opt. Lett. 20, 1068 (1995).
[CrossRef]

K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
[CrossRef]

Gibbs, H. M.

H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, San Diego, Calif., 1985), and references therein.

Gozzini, A.

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

Lazarides, B.

Longo, I.

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

Maccarrone, F.

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

Mango, F.

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

McCullen, J. D.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Meystre, P.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

P. Meystre and M. Sargent, Elements of Quantum Optics (Springer-Verlag, New York, 1991).

Roche, P.

Sargent, M.

P. Meystre and M. Sargent, Elements of Quantum Optics (Springer-Verlag, New York, 1991).

Vignes, E.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Walther, H.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Yang, C.

Appl. Opt.

Appl. Phys. Lett.

K. An, R. R. Dasari, and M. S. Feld, Appl. Phys. Lett. 66, 2162 (1995).
[CrossRef]

Opt. Lett.

Opt. Soc. Am. B

A. Gozzini, F. Maccarrone, F. Mango, I. Longo, and S. J. Barbarino, Opt. Soc. Am. B 2, 1841 (1985).
[CrossRef]

Phys. Rev. Lett.

A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther, Phys. Rev. Lett. 51, 1550 (1983).
[CrossRef]

Other

P. Berman, ed., Cavity Quantum Electrodynamics (Academic, San Diego, Calif., 1994).

P. Meystre and M. Sargent, Elements of Quantum Optics (Springer-Verlag, New York, 1991).

H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, San Diego, Calif., 1985), and references therein.

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Figures (4)

Fig. 1
Fig. 1

(a) Cavity configuration. PZT, piezoelectric transducer; M1, M2 mirrors. (b) Temperature distribution in the mirror substrate (in units of PiA/2πwκ) in cylindrical coordinates, with w/L=0.0075.

Fig. 2
Fig. 2

Graphic solution of Eq.  (6) in the form of a tilted Lorentzian β=10. Inset: power hysteresis curve.

Fig. 3
Fig. 3

Fits of cavity-transmission line shapes with the solution of Eq.  (8). Experimental parameters: P0=10 mW, =0.0075, with cavity-scan seed (i) ω·c/2π=-0.6 GHz/s and (ii) ω·c/2π=-4.8 GHz/s. The fits are obtained with β=500 with (i) x0=3.2 and (ii) X0=25.6. The unmodified cavity line shape is also shown in (iii) for comparison. Small narrow blips are due to FM modulation of the probe laser at 25  MHz.

Fig. 4
Fig. 4

Frequency shift as a function of the inverse of cavity-scan speed. The best fit is obtained with β=500.

Equations (8)

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

ψt=κs2ψ,
ΔL=Cex0Lψρ=0, z-ψ0dzCexC0PiAπκ,
C0=120dq exp-2q2/4cosh q-1q cosh q,
Pi=PoT1-R2Lω,
Δωc=2ωcΔL/l=2ωcCexC0TAP0πκl1-R2Lω.
yx=11+x-βy2,
β=8CexC0TAPoF3π3λκ,
1yx=1+x-βx0-xyxfx-x/x0dx2,

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