Dynamic range of Shack Hartmann sensor

The equation of dynamic range of Shack Hartmann sensor is:

$\theta_{max} = \frac{\Delta s_{max}}{F} = \frac{d/2}{F}$ $$d$$ is the lenslet diameter. $$F$$ is the focal length of lenslet. Measurement sensitivity is $\theta_{min} = \frac{\Delta s_{min}}{F}$ The trade-off between the dynamic range and measurement sensitivity of a SHWS is: Increasing the dynamic range results in a decrease in measurement sensitivity and vice versa. $$\Delta s_{min}$$ is the minimum detectable spot displacement. Typically it is determined by the pixel size of the photodetector, the accuracy of the centroid algorithm and the signal-to-noise ratio of the sensor.

In [1]:
import numpy
d = 63e-6 # in meter; pitch of micro lens array
F = 2.002e-3 # in meter; focal length of micro lenslet

DyRange = d/2/F
display(DyRange)

0.015734265734265736

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