Abstract

The detection range for a blackbody point target is considered. An integrating photon detector is assumed, and the signal-to-noise ratio is expressed by use of photon-flux quantities. An equation for range, valid for the case of a background-limited photodetector, is formulated, and the solution to this equation is dependent on two parameters only: the extinction coefficient representing the atmospheric attenuation and one other parameter that includes other relevant system parameters in a simple way. This means that range as a function of different parameters can be conveniently summarized in one graph. Relations between different parameters are also discussed.

© 2000 Optical Society of America

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References

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  1. R. D. Hudson, Infrared System Engineering (Wiley, New York, 1969).
  2. R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).
  3. R. H. Kingston, Detection of Optical and Infrared Radiation, Volume 10 of Springer Series in Optical Sciences (Springer-Verlag, New York, 1978).
    [CrossRef]
  4. H. L. Van Trees, Detection, Estimation and Modulation Theory: Part I (Wiley, New York, 1968).

Boyd, R. W.

R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).

Hudson, R. D.

R. D. Hudson, Infrared System Engineering (Wiley, New York, 1969).

Kingston, R. H.

R. H. Kingston, Detection of Optical and Infrared Radiation, Volume 10 of Springer Series in Optical Sciences (Springer-Verlag, New York, 1978).
[CrossRef]

Van Trees, H. L.

H. L. Van Trees, Detection, Estimation and Modulation Theory: Part I (Wiley, New York, 1968).

Other (4)

R. D. Hudson, Infrared System Engineering (Wiley, New York, 1969).

R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).

R. H. Kingston, Detection of Optical and Infrared Radiation, Volume 10 of Springer Series in Optical Sciences (Springer-Verlag, New York, 1978).
[CrossRef]

H. L. Van Trees, Detection, Estimation and Modulation Theory: Part I (Wiley, New York, 1968).

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Figures (3)

Fig. 1
Fig. 1

Illustration of an integrating photon detector.

Fig. 2
Fig. 2

Range as a function of a and σ.

Fig. 3
Fig. 3

Illustration of sensor parameters.

Equations (35)

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ΔIλ=λALλλ, Tt-bλALλλ, Tb+1-λALλλ, Tr.
ΔIλ=λALλλ, Tt-Lλλ, Tb.
ΔPλ=1/R2Aoτoλτaλ, RλALλλ, Tt-Lλλ, Tb.
Δϕλ=1/R2Aoτoλτaλ, RλA1/πQλλ, Tt-Qλλ, Tb,
ΔN=tiλ1λ2 ηλΔϕλλdλ.
q=Ad sin2 θ λ1λ2 ηλQλλ, Tbsdλ.
σN=sin θtiAdλ1λ2 ηλQλλ, Tbsdλ1/2.
QT=λ1λ2 Qλλ, Tdλ,
En=AdAoτosin θ QTbsη1/21ti.
SN=1R2AπEnλ1λ2 τaλ, RQλλ, Tt-Qλλ, Tbdλ.
τ¯aR=λ1λ2 τaλ, RQλλ, Tt-Qλλ, Tbdλλ1λ2Qλλ, Tt-Qλλ, Tbdλ.
SN=1R2AΔQπEn τ¯aR,
ΔQ=QTt-QTb.
S/NK.
R2=AΔQπKEn τ¯aR.
τ¯aR=τao exp-σR,  R>Ro,
R2=a exp-σR,
a=AΔQ/πKEnτao.
R<a.
λ1λ2 τaλ, RQλλ, Tdλ.
SN=AoτoΔEAd1sin θηQTbs1/2ti.
En=2π1τoQTbsη1/2αDo1ti,
a  =  AΔQ  ·  τao  ·  AoτoπAd1sin θηQTbs1/2ti  ·  1K
= AΔQ · τao  ·  τo2ηQTbs1/2Doαti  ·  1K.   targetatmospheresensor   detection
a=3100 km2.
R=20 km.
D*λ, θ=λhc1sin θη2QTbs1/2.
NEP=AdΔf1/2/D*λ, θ,
NEI=AdΔf1/2/AoτoD*λ, θ.
Δf=1/2ti.
Dn*θ=1sin θη2 QTbs1/2.
NEPI=AdΔf1/2AoτoDn*=En.
a=AΔQ·τao·AoτoDn*πAdΔf1/2·1K.
SN=1R2AoτoAdΔf1/2 A λ1λ2 τaλ, RLλλ, Tt-Lλλ, TbD*λ, θdλ.
SN=1R2AoτoDn*AdΔf1/2Aπλ1λ2 τaλ, RQλλ, Tt-Qλλ, Tbdλ,

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