Table 10 Étendue calculation for detectable spot sizes at 15° incidence, 0° collection, with a 50 mm collection lens.

From: Mid-IR standoff measurement of ageing-related spectroscopic changes in bitumen in the 6 µm (1700 cm−1) region. Part 1: Measurement strategy and instrument design principles

 

No servo control (± 50 mm)

With servo control (± 10 mm)

Detectable spot at target surface

Image on detector

Detectable spot at target surface

Image on detector

Lateral size of detectable spot,  b

 ± 13 mm

 

 ± 2.7 mm

 

Distance from lens

200 mm

Equal to focal length

200 mm

Equal to focal length

Angular aperture, θ (half angle)

7.1°

27°

7.1°

27°

Étendue = b sinθ

1.6 mm

 ≥ 1.6 mm

0.33 mm

 ≥ 0.33 mm

Required detector size = \(\frac{{\acute{e} }\text{tendue}}{{\text{sin}}\theta }\)

 

 ± 3.5 mm

 

 ± 0.73 mm