Abstract

A phenomenological theory of infra-red sensitive phosphors is given which assumes the existence of two types of luminescent centers in order to account for the so-called “inertia” effects in the rise of brightness. The equations describing the electron transfer processes have been integrated and show under certain conditions a very rapid initial rise in brightness followed by a relatively slow attainment of the maximum. The effect of varying the intensity of the stimulating infra-red radiation is discussed.

© 1949 Optical Society of America

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References

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  1. Scott, Thompson, and Ellickson, J. Opt. Soc. Am. 39, 64 (1949).
    [CrossRef]
  2. W. de Groot, Physica 6, 275 (1939).
    [CrossRef]
  3. R. C. Herman and C. F. Meyer, J. App. Phys. 17, 743 (1946);J. App. Phys. 18, 258 (1947).
    [CrossRef]
  4. Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
    [CrossRef] [PubMed]
  5. W. L. Parker and J. J. Dropkin, Phys. Rev. 74, 1242 (1948).

1949 (1)

1948 (2)

Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
[CrossRef] [PubMed]

W. L. Parker and J. J. Dropkin, Phys. Rev. 74, 1242 (1948).

1946 (1)

R. C. Herman and C. F. Meyer, J. App. Phys. 17, 743 (1946);J. App. Phys. 18, 258 (1947).
[CrossRef]

1939 (1)

W. de Groot, Physica 6, 275 (1939).
[CrossRef]

de Groot, W.

W. de Groot, Physica 6, 275 (1939).
[CrossRef]

Dropkin, J. J.

W. L. Parker and J. J. Dropkin, Phys. Rev. 74, 1242 (1948).

Ellickson,

Herman,

Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
[CrossRef] [PubMed]

Herman, R. C.

R. C. Herman and C. F. Meyer, J. App. Phys. 17, 743 (1946);J. App. Phys. 18, 258 (1947).
[CrossRef]

Hopfield,

Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
[CrossRef] [PubMed]

Meyer,

Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
[CrossRef] [PubMed]

Meyer, C. F.

R. C. Herman and C. F. Meyer, J. App. Phys. 17, 743 (1946);J. App. Phys. 18, 258 (1947).
[CrossRef]

Parker, W. L.

W. L. Parker and J. J. Dropkin, Phys. Rev. 74, 1242 (1948).

Scott,

Thompson,

J. App. Phys. (1)

R. C. Herman and C. F. Meyer, J. App. Phys. 17, 743 (1946);J. App. Phys. 18, 258 (1947).
[CrossRef]

J. Opt. Soc. Am. (2)

Herman, Meyer, and Hopfield, J. Opt. Soc. Am. 38, 999 (1948).
[CrossRef] [PubMed]

Scott, Thompson, and Ellickson, J. Opt. Soc. Am. 39, 64 (1949).
[CrossRef]

Phys. Rev. (1)

W. L. Parker and J. J. Dropkin, Phys. Rev. 74, 1242 (1948).

Physica (1)

W. de Groot, Physica 6, 275 (1939).
[CrossRef]

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Figures (3)

F. 1
F. 1

Energy states of electron in infra-red phosphor containing two types of luminescent centers. The quantities n, n1, n′, and n″ designate the concentrations of electrons in the conduction band, trapping states and upper states of the luminescent centers, while n0′ and n0″ are the concentrations of vacant ground states in the luminescent centers.

F. 2
F. 2

Solutions of the rate equations describing an infra-red phosphor with two types of luminescent centers (see Eqs. 2), for the case = 0.2. Plot of B/C0 (where B is the brightness in arbitrary units) versus C0t for various values of C0, which is proportional to the intensity of the stimulating infra-red light.

F. 3
F. 3

Plot of the brightness, B (in arbitrary units), versus t in seconds for the case = 0.2. (Note that when C0 = 1, the intensity of the stimulating infra-red radiation at 1μ is of the order of 7 × 102 millilamberts.)

Equations (4)

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d n 1 / d t = C 0 n 1 + K ( N n 1 ) n , d n / d t = C 0 n 1 K ( N n 1 ) n A n n 0 A n ( n 0 / n ) , d n 0 / d t = A n n 0 , d n / d t = A n ( n 0 / n ) P n , d n 0 / d t = P n ,
n 0 + n 0 = n + n 1 + n ,
d ξ / d τ = γ ζ ξ ( 1 ) ξ ζ ξ 2 , d ζ / d τ = γ ζ + ξ ξ ζ , d η / d τ = ϕ η , d ω / d τ = ϕ ( η ω ) ( P / C 0 ) ω ,
d η / d τ = ( P / C 0 ) ω .