a) You need to design a microscope system consisting of an infinitely corrected objective lens, a tube lens and a CCD ca

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a) You need to design a microscope system consisting of an
infinitely corrected objective lens, a tube lens and a CCD camera.
You need to image a tardigrade (water bear), and an example image
is shown in Figure Q1a). The total length of the tardigrade is 0.1
mm. The tube lens has a focal length of 100 mm and is 150 mm from
the objective lens. The CCD sensor’s size is 6 mm x 6 mm. The CCD
camera has 3000 x 3000 pixels. A laser is used to illuminate the
specimen with a wavelength of 470 nm.
i) Draw the optical system and calculate the focal length
required for the objective lens if the length of the tardigrade is
to occupy 60% of the sensor’s field of view.
ii) If the diameter of the objective lens is 1.35 mm, is the
system’s resolution limited by the lens or the resolution of the
camera?
iii) What are the advantages and disadvantages of having a large
numerical aperture?
iv) For infinitely corrected microscopes, such as this one, the
object should be placed at a distance equal to the focal length of
the objective lens. If the object is moved to 4mm in front of the
objective lens, where is the new image formed? Comment on your
answer. Hint: Treat this as a two lens system.
b) Design an algorithm in as much detail as possible that can
accurately measure the length of the tardigrade in Figure Q1a).
Describe any problems your algorithm might have. Assume that the
lighting level could change
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