Optical Transfer Function of a microscope

AI Thread Summary
The discussion focuses on understanding the 3D optical transfer function (OTF) of a microscope, particularly the implications of the missing cone of information regarding axial frequencies. The participant questions why the OTF exhibits a dip in the center rather than being flat, and seeks clarification on the significance of mid spatial frequencies along the s-axis. They express confusion about the ability of the OTF to transmit mid axial frequencies while being unable to transfer low or high frequencies. Additional input is requested regarding the participant's familiarity with vector diffraction to better address their questions. The conversation highlights the complexities of interpreting the OTF in microscopy.
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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