Fundamentals of Diffraction and Image Formation

Knowledge test

Image formation

Answer the following questions

Question

Calculate the Fraunhofer diffraction figure of a rectangular aperture and a circular aperture. Compare the central lobe widths when the square side length is equal to the circular aperture diameter. Conclude.

Solution

Question

We consider two imaging systems: one with a square pupil of side length a, and one with a circular pupil of diameter a. For each system, calculate the coherent transfer function relative to those pupils and determine the cutoff frequencies as a function of a, the wavelength λ, and the distance di between the pupil and the image plane.

Solution

Question

Calculate the transfer function in the case of an incoherent illumination for a square pupil of side length a, and determine the cutoff frequency as a function of a, the wavelength λ, and the distance di between the pupil and the image plane. Compare this result with the cutoff frequency obtained in the previous question.

Solution
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