Abstract

We theoretically investigate the feasibility of using a surface layer with a negative thermo-optic coefficient to compensate the thermal drift of a resonant frequency in an optical microresonator. Taking a fused-silica microsphere as an example, our analysis has shown that the thermal drift of a whisper-gallery mode can be fully compensated by such a surface layer. We analyze and compare the compensation performances by using different materials as the surface layer.

© 2007 Optical Society of America

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  1. M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, Opt. Lett. 21, 453 (1996).
    [CrossRef] [PubMed]
  2. V. S. Ilchenko, M. L. Gorodetsky, X. S. Yao, and L. Maleki, Opt. Lett. 26, 256 (2001).
    [CrossRef]
  3. S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
    [CrossRef] [PubMed]
  4. V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
    [CrossRef]
  5. S. Schiller and R. L. Byer, Opt. Lett. 16, 1138 (1991).
    [CrossRef] [PubMed]
  6. H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
    [CrossRef] [PubMed]
  7. F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
    [CrossRef]
  8. I. M. White, N. M. Hanumegowda, and X. D. Fan, Opt. Lett. 30, 3189 (2005).
    [CrossRef] [PubMed]
  9. T. Carmon, L. Yang, and K. J. Vahala, Opt. Express 12, 4742 (2004).
    [CrossRef] [PubMed]
  10. A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
    [CrossRef]
  11. I. Teraoka and S. Arnold, J. Opt. Soc. Am. B 23, 1434 (2006).
    [CrossRef]
  12. O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
    [CrossRef]
  13. H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
    [CrossRef]
  14. N. J. Dudney, J. Vac. Sci. Technol. A 16, 615 (1998).
    [CrossRef]

2006 (2)

I. Teraoka and S. Arnold, J. Opt. Soc. Am. B 23, 1434 (2006).
[CrossRef]

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

2005 (2)

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

I. M. White, N. M. Hanumegowda, and X. D. Fan, Opt. Lett. 30, 3189 (2005).
[CrossRef] [PubMed]

2004 (2)

T. Carmon, L. Yang, and K. J. Vahala, Opt. Express 12, 4742 (2004).
[CrossRef] [PubMed]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

2002 (3)

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef] [PubMed]

2001 (1)

1998 (2)

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

N. J. Dudney, J. Vac. Sci. Technol. A 16, 615 (1998).
[CrossRef]

1996 (1)

1991 (1)

Arnold, S.

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

I. Teraoka and S. Arnold, J. Opt. Soc. Am. B 23, 1434 (2006).
[CrossRef]

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

Braun, D.

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

Byer, R. L.

Carmon, T.

Culic-Viskota, J.

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

Doherty, A. C.

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

Dudney, N. J.

N. J. Dudney, J. Vac. Sci. Technol. A 16, 615 (1998).
[CrossRef]

Fan, X. D.

Gaathon, O.

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

Gorodetsky, M. L.

Hanumegowda, N. M.

Hibino, Y.

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

Hirota, H.

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

Hollberg, L.

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

Ilchenko, V. S.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

V. S. Ilchenko, M. L. Gorodetsky, X. S. Yao, and L. Maleki, Opt. Lett. 26, 256 (2001).
[CrossRef]

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, Opt. Lett. 21, 453 (1996).
[CrossRef] [PubMed]

Itoh, M.

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

Khoshsima, M.

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

Kippenberg, T. J.

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef] [PubMed]

Libchaber, A.

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

Mabuchi, H.

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

Maleki, L.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

V. S. Ilchenko, M. L. Gorodetsky, X. S. Yao, and L. Maleki, Opt. Lett. 26, 256 (2001).
[CrossRef]

Matsko, A. B.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

Mihnev, M.

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

Oguma, M.

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

Savchenkov, A. A.

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

M. L. Gorodetsky, A. A. Savchenkov, and V. S. Ilchenko, Opt. Lett. 21, 453 (1996).
[CrossRef] [PubMed]

Schiller, S.

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef] [PubMed]

Teraoka, I.

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

I. Teraoka and S. Arnold, J. Opt. Soc. Am. B 23, 1434 (2006).
[CrossRef]

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

Vahala, K. J.

T. Carmon, L. Yang, and K. J. Vahala, Opt. Express 12, 4742 (2004).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef] [PubMed]

Vassiliev, V. V.

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

Velichansky, V. L.

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

Vollmer, F.

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

White, I. M.

Yang, L.

Yao, X. S.

Yarovitsky, A. V.

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

Appl. Phys. Lett. (2)

F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 80, 4057 (2002).
[CrossRef]

O. Gaathon, J. Culic-Viskota, M. Mihnev, I. Teraoka, and S. Arnold, Appl. Phys. Lett. 89, 223901 (2006).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

H. Hirota, M. Itoh, M. Oguma, and Y. Hibino, IEEE Photon. Technol. Lett. 17, 375 (2005).
[CrossRef]

J. Opt. Soc. Am. B (1)

J. Vac. Sci. Technol. A (1)

N. J. Dudney, J. Vac. Sci. Technol. A 16, 615 (1998).
[CrossRef]

Nature (1)

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, Nature 415, 621 (2002).
[CrossRef] [PubMed]

Opt. Commun. (1)

V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, Opt. Commun. 158, 305 (1998).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Phys. Rev. A (1)

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

Science (1)

H. Mabuchi and A. C. Doherty, Science 298, 1372 (2002).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Schematic of the equatorial plane of a microsphere with a surface layer and the spherical polar coordinate.

Fig. 2
Fig. 2

(a) Resonant wavelength shift as a function of temperature change for a TE mode at wavelength at approximately 1550 nm . (b) Enlarged views of the coating results in (a). The radial numbers are l = 281 , 287, and 284 for no coating, Ca F 2 -coated, and PS-coated fused-silica microresonators, respectively.

Fig. 3
Fig. 3

Temperature performances comparison of the N-PSK53-coated ( l = 315 ) and N-FK51-coated ( l = 294 ) microspheres.

Tables (2)

Tables Icon

Table 1 Material Parameters Used in the Simulation

Tables Icon

Table 2 Parameters of Several Schott Glasses with Negative d n d T and Their Optimal Thicknesses

Equations (5)

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S 32 χ l ( z 4 ) χ l ( z 4 ) = C l ψ l ( z 3 ) + χ l ( z 3 ) C l ψ l ( z 3 ) + χ l ( z 3 ) ,
C l = S 21 ψ l ( z 1 ) χ l ( z 2 ) ψ l ( z 1 ) χ l ( z 2 ) ψ l ( z 1 ) ψ l ( z 2 ) S 21 ψ l ( z 2 ) ψ l ( z 1 ) ,
a = a 0 ( 1 + α a Δ T )
t = t 0 ( 1 + α t Δ T )
n i = n i 0 + d n i d T Δ T , i = 1 , 2 ,

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