Table 8 Étendue calculation for detectable spot sizes at 30° incidence, 30° collection, with a 50 mm, high NA 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

 ± 50 mm

 

 ± 10 mm

 

Distance from lens

280 mm

Equal to focal length

280 mm

Equal to focal length

Angular aperture, θcol (half angle)

5.1°

27°

5.1°

27°

Étendue = b sinθ

4.4 mm

 ≥ 4.4 mm

0.89 mm

 ≥ 4.4 mm

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

 

 ± 9.8 mm

 

 ± 2.0 mm