A zone plate is to be set up on an optical bench, where it will be used as an en

Question

A zone plate is to be set up on an optical bench, where it will be used as an enlarging lens. Its innermost zone is to be 0.2250 mm in diameter and monochromatic blue-green light of wavelength 480 nm from a cadmium arc is to be used. If the magnitude of the enlargements are to be eightfold in diameter, find the object distance

Please show your work A zone plate is to be set up on an optical bench, where it will be used as an enlarging lens. Its innermost zone is to be 0.2250 mm in diameter and monochromatic blue-green light of wavelength 480 nm from a cadmium arc is to be used. If the magnitude of the enlargements are to be eightfold in diameter, find the object distance

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Explanation / Answer

You should be able to tell from the first equation whether the quoted radius is r0 or r1.

Given that, it looks like you've got (a) from the first equation.

For monochromatic light you can basically treat a Fresnel lens as a "regular" thin lens (they have brutal chromatic aberration, though, and their off-axis performance isn't great, if memory serves). So parts (b) and (c) come from the usual lens formulae relating focal length and magnification to object and image distance

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