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Astronomy Principles and Practice Fourth Edition.pdf

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284 Detectors for optical telescopes<br />

Figure 18.1. The relative spectral sensitivity of an average human eye; the dotted curve illustrates the Purkinje<br />

effect, showing how the sensitivity curve is modified when the eye is dark-adapted.<br />

where h is Planck’s constant, equal to 6·63 × 10 −34 Js<strong>and</strong>ν is the frequency of the electromagnetic<br />

wave. It is easy, therefore, to perform the conversion between the amount of energy in a beam, given<br />

in watts for example, to the number of photons s −1 which are travelling with the beam—as done, for<br />

example, in section 16.3.1.<br />

From the size of response of a detector to a beam of light whose energy is known in terms of<br />

photons s −1 , it is possible to evaluate the fraction of the photons which are effectively used to provide<br />

the response. The ratio of the number of photons present in the beam to the number which contribute<br />

to the detector’s response defines the quantum efficiency of the detector.<br />

18.4 The eye as a detector<br />

Very briefly, the main elements of the eye consist of a pupil which controls the amount of light which<br />

enters it, a lens <strong>and</strong> a photosensitive surface called the retina on to which the lens focuses the images.<br />

The brain converts the sensations of the retina to give the observer the impression of there being objects<br />

set out in space.<br />

There is wide variation in the different properties of the eye according to the individual <strong>and</strong> the<br />

discussion here is related to that of an average observer. The daytime spectral response or visibility<br />

curve of an average eye is illustrated in figure 18.1. It can be seen that the eye is capable of covering<br />

the optical range from 4000 to 7000 Å <strong>and</strong> this range is known as the visible spectrum. Theeyeis<br />

unable to store or make a permanent record of any image. The image it produces can be considered to<br />

be instantaneous. If the light-level is below a certain threshold, then the eye does not respond. When<br />

the eye has been working in conditions of normal illumination <strong>and</strong> is then removed to a darkened<br />

environment, such as might be expected for night observations, its sensitivity undergoes changes,

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