Consider a 4f imaging system of unit magnification (i.e. both lenses of focal length f), with an unobstructed circular pupil of radius a. a) Derive the coherent spread function (CSF(p), also called H(p)) in the case where an obstructing disk of radius b
Consider a 4f imaging system of unit magnification (i.e. both lenses of focal length f), with an unobstructed circular pupil of radius a. a) Derive the coherent spread function (CSF(p), also called H(p)) in the case where an obstructing disk of radius b
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![Consider a 4f imaging system of unit magnification (i.e. both lenses of focal length f), with
an unobstructed circular pupil of radius a.
a) Derive the coherent spread function (CSF(p), also called H(p)) in the case where an
obstructing disk of radius b<a is inserted into the pupil.
b) Derive H(p) for the case where the disk is transmitting but produces a phase shift of 180
degrees.
c) Make plots of H(p) for the 2 cases above (see example mathematica code for making
these plots). What happens when b = a/sqrt[2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85352491-e90e-4f0a-97aa-38ced518c797%2F392027dc-7f20-49ff-87c4-5815b9961ee3%2Fq6d6b8n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a 4f imaging system of unit magnification (i.e. both lenses of focal length f), with
an unobstructed circular pupil of radius a.
a) Derive the coherent spread function (CSF(p), also called H(p)) in the case where an
obstructing disk of radius b<a is inserted into the pupil.
b) Derive H(p) for the case where the disk is transmitting but produces a phase shift of 180
degrees.
c) Make plots of H(p) for the 2 cases above (see example mathematica code for making
these plots). What happens when b = a/sqrt[2]
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