Abstract

We derived a temperature-dependent Sellmeier equation for AlxGa1xAs material by measuring the refractive index of GaAs and AlAs with temperature dependence in a resonant cavity enhanced structure. The equation is applicable in the range of 14601580nm and 2686°C and can be extrapolated to the other wavelengths and temperature ranges as well.

© 2007 Optical Society of America

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  1. M. V. Hobden and J. Earner, Phys. Lett. 22, 243 (1966).
    [CrossRef]
  2. N. P. Barnes and M. S. Piltch, J. Opt. Soc. Am. 67, 628 (1977).
    [CrossRef]
  3. D. H. Jundt, Opt. Lett. 22, 1553 (1997).
    [CrossRef]
  4. A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
    [CrossRef]
  5. H. Y. Shen, X. L. Meng, G. Zhang, J. J. Qin, W. Liu, L. Zhu, C. H. Huang, L. X. Huang, and M. Wei, Appl. Opt. 43, 955 (2004).
    [CrossRef] [PubMed]
  6. J. T. Boyd, IEEE J. Quantum Electron. 8, 788 (1972).
    [CrossRef]
  7. M. Ilegems and G. L. Pearson, Phys. Rev. B 1, 1576 (1970).
    [CrossRef]
  8. M. Ettenberg and R. J. Paff, J. Appl. Phys. 41, 3926 (1970).
    [CrossRef]
  9. S. Adachi, J. Appl. Phys. 58, R1 (1985).
    [CrossRef]
  10. J. Talghader and J. S. Smith, Appl. Phys. Lett. 66, 335 (1970).
    [CrossRef]
  11. F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
    [CrossRef]
  12. J. P. Kim and A. M. Sarangan, in Proceedings of CLEO/Europe (Optical Society of America, 2005), paper CE7-6-THU.
  13. S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
    [CrossRef]
  14. H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
    [CrossRef]

2004

2003

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

2000

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

1997

1986

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

1985

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

1977

1972

J. T. Boyd, IEEE J. Quantum Electron. 8, 788 (1972).
[CrossRef]

1970

M. Ilegems and G. L. Pearson, Phys. Rev. B 1, 1576 (1970).
[CrossRef]

M. Ettenberg and R. J. Paff, J. Appl. Phys. 41, 3926 (1970).
[CrossRef]

J. Talghader and J. S. Smith, Appl. Phys. Lett. 66, 335 (1970).
[CrossRef]

1966

M. V. Hobden and J. Earner, Phys. Lett. 22, 243 (1966).
[CrossRef]

Adachi, S.

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

Barnes, N. P.

Blau, P.

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Boyd, J. T.

J. T. Boyd, IEEE J. Quantum Electron. 8, 788 (1972).
[CrossRef]

Bruner, A.

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Cocorullo, G.

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

Corte, F. G. D.

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

Earner, J.

M. V. Hobden and J. Earner, Phys. Lett. 22, 243 (1966).
[CrossRef]

Eger, D.

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Ettenberg, M.

M. Ettenberg and R. J. Paff, J. Appl. Phys. 41, 3926 (1970).
[CrossRef]

Gehrsitz, S.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Gourgon, C.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Herres, N.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Hobden, M. V.

M. V. Hobden and J. Earner, Phys. Lett. 22, 243 (1966).
[CrossRef]

Huang, C. H.

Huang, L. X.

Ilegems, M.

M. Ilegems and G. L. Pearson, Phys. Rev. B 1, 1576 (1970).
[CrossRef]

Imanaga, S.

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

Jundt, D. H.

Kaneko, K.

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

Katz, M.

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Kawai, H.

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

Kim, J. P.

J. P. Kim and A. M. Sarangan, in Proceedings of CLEO/Europe (Optical Society of America, 2005), paper CE7-6-THU.

Liu, W.

Lodice, M.

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

Meng, X. L.

Oron, M. B.

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Paff, R. J.

M. Ettenberg and R. J. Paff, J. Appl. Phys. 41, 3926 (1970).
[CrossRef]

Pearson, G. L.

M. Ilegems and G. L. Pearson, Phys. Rev. B 1, 1576 (1970).
[CrossRef]

Piltch, M. S.

Qin, J. J.

Reinhart, F. K.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Rendina, I.

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

Sarangan, A. M.

J. P. Kim and A. M. Sarangan, in Proceedings of CLEO/Europe (Optical Society of America, 2005), paper CE7-6-THU.

Shen, H. Y.

Sigg, H.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Smith, J. S.

J. Talghader and J. S. Smith, Appl. Phys. Lett. 66, 335 (1970).
[CrossRef]

Talghader, J.

J. Talghader and J. S. Smith, Appl. Phys. Lett. 66, 335 (1970).
[CrossRef]

Vonlanthen, A.

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

Watanabe, N.

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

Wei, M.

Zhang, G.

Zhu, L.

Appl. Opt.

Appl. Phys. Lett.

J. Talghader and J. S. Smith, Appl. Phys. Lett. 66, 335 (1970).
[CrossRef]

F. G. D. Corte, G. Cocorullo, M. Lodice, and I. Rendina, Appl. Phys. Lett. 77, 1614 (2000).
[CrossRef]

IEEE J. Quantum Electron.

J. T. Boyd, IEEE J. Quantum Electron. 8, 788 (1972).
[CrossRef]

J. Appl. Phys.

M. Ettenberg and R. J. Paff, J. Appl. Phys. 41, 3926 (1970).
[CrossRef]

S. Adachi, J. Appl. Phys. 58, R1 (1985).
[CrossRef]

S. Gehrsitz, F. K. Reinhart, C. Gourgon, N. Herres, A. Vonlanthen, and H. Sigg, J. Appl. Phys. 87, 7825 (2000).
[CrossRef]

H. Kawai, S. Imanaga, K. Kaneko, and N. Watanabe, J. Appl. Phys. 61, 328 (1986).
[CrossRef]

J. Opt. Soc. Am.

Opt. Lett.

D. H. Jundt, Opt. Lett. 22, 1553 (1997).
[CrossRef]

A. Bruner, D. Eger, M. B. Oron, P. Blau, and M. Katz, Opt. Lett. 23, 194 (2003).
[CrossRef]

Phys. Lett.

M. V. Hobden and J. Earner, Phys. Lett. 22, 243 (1966).
[CrossRef]

Phys. Rev. B

M. Ilegems and G. L. Pearson, Phys. Rev. B 1, 1576 (1970).
[CrossRef]

Other

J. P. Kim and A. M. Sarangan, in Proceedings of CLEO/Europe (Optical Society of America, 2005), paper CE7-6-THU.

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Figures (6)

Fig. 1
Fig. 1

Longitudinal schematic diagram of experimental sample.

Fig. 2
Fig. 2

Schematic diagram of the experiment setup.

Fig. 3
Fig. 3

Peak transmission wavelengths as a function of temperature.

Fig. 4
Fig. 4

Contour plot of the transmission of the sample on the change in the refractive indices of GaAs and AlAs.

Fig. 5
Fig. 5

Refractive indices of AlAs and GaAs as a function of temperature at λ = 1515 nm .

Fig. 6
Fig. 6

Refractive index of Al x Ga 1 x As obtained by Eq. (3) at 6328 nm and 700 ° C . The circles are the data obtained by Kawai et al.[14]

Tables (1)

Tables Icon

Table 1 Comparison of the Thermo-Optic Coefficients for GaAs and AlAs

Equations (3)

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n 2 ( x , λ ) = 10.906 2.92 x + 0.97501 λ 2 C 0.002467 ( 1.41 x + 1 ) λ 2 ,
L T = L 0 [ 1 + α T ( T m 26 ° C ) ] ,
n ( x , λ , T ) = [ 10.906 2.92 x + 0.97501 λ 2 + C 0.002467 ( 1.41 x + 1 ) λ 2 ] 1 2 + [ ( T 26 ° C ) ( 2.04 0.3 x ) × 10 4 ° C ] .

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