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Calculate the theoretical resolution (assuming no lens aberrations) for green light
(? = 510 nm) for an objective lens with a numerical aperture of 0.9.

What is the depth over which the sample will remain in focus (depth of field) at the best achievable resolution?
What is the best depth of field for imaging with near infra-red light at ? = 830nm?
Why does near infra-red light have a larger depth of field than green light? Write and discuss the appropriate mathematical relationships.
Assuming that the acceptance angle of the objective lens is the same, calculate the improvement in resolution with an oil immersion lens (?air=1 and ?oil =1.515).

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