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Infrared signature studies of aerospace vehicles - DSpace at IIT ...

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Spectral Radiance (W/m 2 ⋅Sr -1 ⋅μm -1 )<br />

10<br />

5<br />

0<br />

Horizon = 0°<br />

15°<br />

30°<br />

5 10 15<br />

λ (μm)<br />

20 25<br />

Vertical p<strong>at</strong>hlength:<br />

Zenith<br />

Zenith=90°<br />

because <strong>of</strong> its vibr<strong>at</strong>ional band; but <strong>at</strong> this wavelength,<br />

the spectral emissive power <strong>of</strong> the <strong>at</strong>mosphere<br />

is negligible [51]. Berger’s model predicts<br />

<strong>at</strong>mospheric IR-radiance accur<strong>at</strong>ely, except in<br />

16–20 mm band (which is not <strong>of</strong> significance for IR<br />

<strong>sign<strong>at</strong>ure</strong> <strong>studies</strong>). Fig. 6 shows the contrast between<br />

aircraft and background (predicted using Berger’s<br />

model) IR radiance in dry mode, for tropical and<br />

mid-l<strong>at</strong>itude summer <strong>at</strong>mospheric conditions. The<br />

neg<strong>at</strong>ive radiance in some bands is because <strong>at</strong>mospheric<br />

IR radiance (estim<strong>at</strong>ed from Berger’s model)<br />

exceeds the aircraft IR radiance. The positive<br />

contrast is higher for mid-l<strong>at</strong>itude summer than<br />

R e<br />

H <strong>at</strong>m<br />

EARTH<br />

R e + H <strong>at</strong>m<br />

Atmosphere containing<br />

IR-radi<strong>at</strong>ion<br />

particip<strong>at</strong>ing gases<br />

ARTICLE IN PRESS<br />

Horizontal p<strong>at</strong>hlength:<br />

Horizon<br />

Fig. 5. Spectral sky radiance from zenith to horizon: (a) spectral<br />

radiance <strong>of</strong> sky for mid-l<strong>at</strong>itude summer <strong>at</strong>mosphere (after [51])<br />

and (b) Illustr<strong>at</strong>ion <strong>of</strong> p<strong>at</strong>h-lengths <strong>of</strong> horizontal and vertical<br />

beams.<br />

Spectral Contrast (W⋅m -2 ⋅Sr -1 ⋅μm -1 )<br />

10<br />

6<br />

2<br />

-2<br />

-6<br />

tropical <strong>at</strong>mosphere but neg<strong>at</strong>ive contrast is higher<br />

for the l<strong>at</strong>er, because the background IR-radiance is<br />

higher for the l<strong>at</strong>er. The highest contrast is in<br />

8–12 mm band due to rear fuselage skin contribution.<br />

The conjug<strong>at</strong>e role <strong>of</strong> <strong>at</strong>mospheric transmission<br />

<strong>of</strong> IR radi<strong>at</strong>ion and background IR radiance (using<br />

Berger’s model), on aircraft susceptibility against<br />

SAM, was examined [51]. It was found th<strong>at</strong>:<br />

(i) when the engine tailpipe is not visible, aircraft<br />

IRSL is prominent in the 3.24–4.18, 4.50–4.93, and<br />

8.20–11.80 mm bands; (ii) when the engine tailpipe is<br />

visible, aircraft IRSL is also significant in the<br />

1.95–2.50 and 2.92–3.20 mm bands; (iii) <strong>at</strong>mospheric<br />

IR radiance is dominant only in 8–12 mm band and<br />

is insignificant in lower wavelength bands; and<br />

(iv) the aircraft rear fuselage is a prominent source<br />

<strong>of</strong> IRSL in the 8–12 mm band. Therefore, an aircraft<br />

is susceptible from the front to all-aspect IR-missiles<br />

in the 8–12 mm band.<br />

3.4. Role <strong>of</strong> earthshine in IRSL<br />

Mid-l<strong>at</strong>itude Summer<br />

Tropical<br />

-10<br />

0 2 4 6 8 10<br />

λ (μm)<br />

12 14 16 18<br />

227<br />

Fig. 6. Spectral contrast between aircraft and background IR<br />

radiance (after [51]).<br />

Earthshine is the IR radiance from the earth’s<br />

surface (determined by ground temper<strong>at</strong>ure and<br />

emissivity) th<strong>at</strong> is reflected from the aircraft surface<br />

and then collected by IR-detector. Its estim<strong>at</strong>ion is<br />

important in the 8–12 mm band for aircraft flying <strong>at</strong><br />

low altitude (typical <strong>of</strong> a bombing mission), and its<br />

effect is insignificant in the 3–5 mm band [57]. As<br />

shown in Fig. 7, the vari<strong>at</strong>ion <strong>of</strong> IR contrast with<br />

emissivity in the 3–5 mm band is almost the same<br />

with and without the effect earthshine [57]. In both<br />

bands, the slope is higher without earthshine;<br />

because the earthshine contribution to IR contrast<br />

increases with decreasing emissivity. This dependence<br />

<strong>of</strong> the earthshine contribution is the opposite<br />

20

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