I deriving a pupil function in a coherent imaging system

Thread starter silentt
Start date Apr 27, 2021
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Coherent deriving Function Imaging System

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SUMMARY

The discussion focuses on deriving the pupil function in a coherent imaging system, specifically using a circular aperture and three 2-D delta functions. The coherent transfer function is central to understanding how light interacts with the aperture. Participants confirm the approach and provide insights into the mathematical modeling required for this derivation.

PREREQUISITES

Understanding of coherent imaging systems
Familiarity with pupil functions and their significance
Knowledge of circular apertures in optics
Basic principles of delta functions in two dimensions

NEXT STEPS

Research the mathematical formulation of coherent transfer functions
Study the properties and applications of pupil functions in optics
Explore the implications of circular apertures on imaging quality
Learn about the role of delta functions in optical systems

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Optical engineers, physicists, and students studying imaging systems who seek to deepen their understanding of coherent imaging and pupil function derivation.

Apr 27, 2021

silentt

Homework Statement: The aperture is opaque with 3 circular holes, each with a diameter of w. The coordinates of the center of the circular apertures are: {0, d/2}, {0, -d/2}, {d/2, 0}.
Derive the coherent transfer function.

Relevant Equations: {0, d/2}, {0, -d/2}, {d/2, 0}

Hello all. I have a question about building the coherent transfer function and specifically how I would go about deriving the pupil function for this figure. I have not come across this in my class yet and am a bit stumped.
Any help would be appreciated.