Abstract

A new and simple mathematical model for describing radiation-induced absorption in optical fibers is presented. This model treats the radiation-induced defect generation and the decay process as a series of superposable infinitesimal growth and decay events. Unlike the existing power-law growth equation, the new equation is nonempirical, dose-rate dependent, and describes both the growth and the decay of the induced defect. In the case of constant dose rate the general equation reduces to a simple analytical form that agrees reasonably well with the experiment.

© 1994 Optical Society of America

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  1. E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).
  2. A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).
  3. E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 1691, 2 (1992).
  4. A. R. Johnston, E. W. Taylor, JPL Rep. D-10069 (Jet Propulsion Laboratory, Pasadena, Calif., 1992).
  5. A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).
  6. R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).
  7. D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 38 (1985).
  8. R. T. Williams, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 25 (1985).
  9. P. W. Levy, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 2 (1985).
  10. E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).
  11. E. J. Friebele, C. G. Askins, M. E. Gingerich, Appl. Opt. 23, 4202 (1984).
    [CrossRef] [PubMed]
  12. D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
    [CrossRef] [PubMed]

1993 (2)

R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).

D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
[CrossRef] [PubMed]

1992 (2)

E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).

E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 1691, 2 (1992).

1985 (4)

D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 38 (1985).

R. T. Williams, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 25 (1985).

P. W. Levy, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 2 (1985).

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

1984 (1)

1981 (1)

A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).

Askins, C. G.

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

E. J. Friebele, C. G. Askins, M. E. Gingerich, Appl. Opt. 23, 4202 (1984).
[CrossRef] [PubMed]

Bergman, L. A.

A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).

Campbell, A. B.

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Chen, Y. J.

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Friebele, E. J.

D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
[CrossRef] [PubMed]

E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

E. J. Friebele, C. G. Askins, M. E. Gingerich, Appl. Opt. 23, 4202 (1984).
[CrossRef] [PubMed]

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Gingerich, M. E.

D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
[CrossRef] [PubMed]

E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

E. J. Friebele, C. G. Askins, M. E. Gingerich, Appl. Opt. 23, 4202 (1984).
[CrossRef] [PubMed]

Griscom, D. L.

D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
[CrossRef] [PubMed]

E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 38 (1985).

Hartmayer, R.

R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).

Jackson, S.

R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).

Johnston, A. R.

R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).

A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).

A. R. Johnston, E. W. Taylor, JPL Rep. D-10069 (Jet Propulsion Laboratory, Pasadena, Calif., 1992).

Langworthy, J. B.

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Levy, P. W.

P. W. Levy, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 2 (1985).

Long, K. J.

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

Marrone, M. J.

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

Marshall, P. W.

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Summers, G. P.

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

Taylor, E. W.

E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 1691, 2 (1992).

A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).

A. R. Johnston, E. W. Taylor, JPL Rep. D-10069 (Jet Propulsion Laboratory, Pasadena, Calif., 1992).

Williams, R. T.

R. T. Williams, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 25 (1985).

Appl. Opt. (1)

Phys. Rev. Lett. (1)

D. L. Griscom, M. E. Gingerich, E. J. Friebele, Phys. Rev. Lett. 71, 1019 (1993).
[CrossRef] [PubMed]

Proc. Soc. Photo-Opt. Instrum. Eng. (8)

E. J. Friebele, M. E. Gingerich, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 1791, 177 (1992).

E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 1691, 2 (1992).

A. R. Johnston, L. A. Bergman, E. W. Taylor, Proc. Soc. Photo-Opt. Instrum. Eng. 296, 125 (1981).

R. Hartmayer, S. Jackson, A. R. Johnston, Proc. Soc. Photo-Opt. Instrum. Eng. 1953, 94 (1993).

D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 38 (1985).

R. T. Williams, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 25 (1985).

P. W. Levy, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 2 (1985).

E. J. Friebele, K. J. Long, C. G. Askins, M. E. Gingerich, M. J. Marrone, D. L. Griscom, Proc. Soc. Photo-Opt. Instrum. Eng. 541, 70 (1985).

Other (2)

A. R. Johnston, E. W. Taylor, JPL Rep. D-10069 (Jet Propulsion Laboratory, Pasadena, Calif., 1992).

A. B. Campbell, E. J. Friebele, P. W. Marshall, G. P. Summers, Y. J. Chen, J. B. Langworthy, “Fiber-optic data bus radiation effects study,” NRL Memorandum Rep. 92-6982 (Naval Research Laboratory, Washington, D.C., 1992).

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Figures (2)

Fig. 1
Fig. 1

Curve fit of the experimental data with the new theory.

Fig. 2
Fig. 2

Theoretical and experimental plots of the recovery curve.

Equations (12)

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A = a D b ,
A = ( A 0 - A f ) ( 1 + c t ) - 1 / ( n - 1 ) + A f ,
c ( 1 / τ ) ( 2 n - 1 - 1 ) ,
R ( t ) = 0 t f ( t ) h ( t - t ) d t ,
A ( t ) = 0 t D ( t ) { ( a 0 - a f ) [ 1 + c i ( t - t ) ] - 1 n - 1 + a f } d t ,
A ( t ) = D { a 0 - a f c n - 1 n - 2 [ ( 1 + c t ) n - 2 n - 1 - 1 ] + a f t } .
A = a 0 D .
A = a D b + a f D ,
a = ( a 0 - a f ) n - 1 n - 2 c - 1 n - 1 D - 1 n - 1 ,
b = n - 2 n - 1 ,
R ( t ) = 0 t 0 f ( t ) h ( t - t ) d t .
A ( t ) = D a 0 - a f c n - 1 n - 2 × { ( 1 + c t ) n - 2 n - 1 - [ 1 + c ( t - t 0 ) ] n - 2 n - 1 } + a f D .

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