How do dark spot and tiny hole filters affect Fourier optics images?

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    Fourier Optics
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Homework Help Overview

The discussion revolves around an experiment in Fourier optics involving the use of different filters, specifically a tiny hole filter and a dark spot filter. Participants are exploring how these filters affect the resulting images, particularly in terms of frequency components and image clarity.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the theoretical implications of using a tiny hole filter to isolate low-frequency light and the dark spot filter to project high-frequency components. There is an emphasis on understanding the resulting image clarity and the filtering process.

Discussion Status

Some participants express a desire to confirm their theoretical understanding of the filtering effects after conducting the experiment. There is acknowledgment of the need for further discussion based on experimental results, although no explicit consensus is reached.

Contextual Notes

One participant mentions having completed the experiment successfully but seeks clarification on the theoretical aspects of the filters used. There is a reference to relevant equations related to Fourier transforms, indicating a focus on mathematical reasoning in the discussion.

George444fg
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Homework Statement
George44fg
Relevant Equations
Fourier Transform Equations
I was assigned an experiment of Fouriers optics where I have to use different Filters. One of them was the dark spot and the tiny hole. As of my understanding, for tiny hole, we cut off all high-frequency light related to diffraction and refraction, thus using only the low freuency part of the initial image. The result would be a limited yet very clear image on the screen. While for the black spot we cut off the concentrated beam and project only the high frequency diffracted and refracted beams. Thus we get a rather unclear image? Thank you in advance
 
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How about you run the experiment and then any problems or results you have can be discussed if needed?
 
Tom.G said:
How about you run the experiment and then any problems or results you have can be discussed if needed?
I've already done the experiment, and everything is fine. However, I would like to be sure about the theoretical understanding of the filtering process.
 
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George444fg said:
Homework Statement:: George44fg
Relevant Equations:: Fourier Transform Equations

...for tiny hole, we cut off all high-frequency light related to diffraction and refraction, thus using only the low freuency part of the initial image.

...the black spot we cut off the concentrated beam and project only the high frequency diffracted and refracted beams.

I agree!
 
Tom.G said:
I agree!
I thank you a lot.
 
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