Optical Transfer Function of a microscope

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Discussion Overview

The discussion revolves around the optical transfer function (OTF) of a microscope, specifically focusing on its 3D representation and the implications of its structure on the transmission of spatial frequencies. Participants explore the concepts of axial frequencies, the missing cone of information, and the significance of mid spatial frequencies in the context of microscopy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why the OTF exhibits a dip in the middle rather than being flat, seeking clarification on the dimensions of the m and n axes and their relation to axial frequencies.
  • Another participant notes that very low axial frequencies are transmitted except at the center, indicating that the high-frequency cutoff varies with lateral frequency.
  • A participant expresses confusion regarding the considerable support along the s-axis of the OTF and its implications for axial information transmission.
  • One participant asks for clarification on the comfort level of others regarding advanced concepts in vector diffraction, indicating the complexity of the topic.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and confusion regarding the OTF's structure and its implications, indicating that multiple competing views remain and the discussion is not resolved.

Contextual Notes

Participants have not fully clarified the assumptions regarding the interpretation of the OTF, particularly in relation to the missing cone of information and the nature of axial frequency transmission.

u0362565
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Hi all,

I am wondering in the 3D optical transfer function as shown below:
http://www.purplebark.net/mra/research/votf/otf-sliced-volume.png

The m and n axes represent support of lateral spatial frequencies and the s axes axial. If we were talking about a microscope then it has what's called the missing cone of information-lost axial frequencies. But what i don't understand is why there is only a missing dip in the middle, why is it not flat and only has dimensions m and n. The image suggests that the 3D "lobes" represent mid spatial frequencies in the s axis with it dipping to zero at the origin and at the high end frequency cut off. If the height of the OTF lobes does in fact represent axial information, what is this information? If it can't transfer low or high axial frequencies, why can it transfer mid s axes spatial frequencies? Unless i am misinterpreting the 3D OTF.

Thanks for the help!
 
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Note that the s-axis is centered about zero. Therefore very low axial frequencies are always transmitted, except in the very center. The high-frequency cutoff changes as you increase lateral frequency.
 
Thanks for that, I'm still not clear though why the OTF has considerable support along the s-axis
 
u0362565 said:
Hi all,

I am wondering in the 3D optical transfer function as shown below:
http://www.purplebark.net/mra/research/votf/otf-sliced-volume.png
<snip>If the height of the OTF lobes does in fact represent axial information, what is this information? If it can't transfer low or high axial frequencies, why can it transfer mid s axes spatial frequencies? Unless i am misinterpreting the 3D OTF.

Thanks for the help!

You are asking a fairly advanced question about vector diffraction- can you give me an idea of your 'comfort level'?
 

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