Abstract

A theoretical equation is given for the sensitivities or signal-to-noise ratios of infrared photodetectors as functions of area and sensitive time and long-wavelength cutoff λ0, assuming the materials approach within comparable factors of the fundamental limits set by radiation noise from their surroundings at a given temperature.

© 1956 Optical Society of America

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References

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  1. N. Fuson, J. Opt. Soc. Am. 38, 845 (1948).
    [CrossRef] [PubMed]
  2. P. B. Fellgett, J. Opt. Soc. Am. 39, 970 (1949).
    [CrossRef] [PubMed]
  3. T. S. Moss, J. Opt. Soc. Am. 40, 603 (1950).
    [CrossRef]
  4. H. S. Snyder and J. R. Platt, J. Opt. Soc. Am. 38, 269 (1948).
    [CrossRef] [PubMed]

1950 (1)

1949 (1)

1948 (2)

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Figures (1)

Fig. 1
Fig. 1

Radiation-noise-limited sensitivity as a function photodetector cut-off wavelength.

Equations (8)

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Q = σ t a ,
N = Q 1 2 = σ 1 2 t 1 2 a 1 2 .
J λ = c 1 λ - 5 exp ( - c 2 / λ T ) .
σ = 0 λ 0 λ h c c 1 λ 5 e - c 2 / λ T d λ quanta / cm 2 sec .
σ = c 1 T 3 c 2 3 h c e - z 0 ( z 0 2 + 2 z 0 + 2 ) ,
σ = c 1 h c 1 λ 0 3 z 0 e - z 0 .
S = R λ 0 h c t e a c .
s = S N = [ c 2 c 1 h c ] 1 2 R T - 1 2 λ 0 2 e c 2 / 2 λ 0 T t e a e t 1 2 a 1 2 .