Points in Focus Photography

Home / Tools / Diffraction Limited Effective Resolutions

Diffraction Limited Effective Resolutions

Sometimes I like, or need, to turn things on their heads to look at them from a different angle. Most photographers have likely come across the concept of the diffraction-limited aperture at some point in their researching lenses.

The same concept can be flipped around to compute the maximum effective resolution a given aperture can produce on a given size sensor.

I would note there’s a certain amount of fuzziness to this, as the standard diffraction limited aperture calculation isn’t necessarily accurate in practice. It’s not wrong, per say. What it does is work on the fundamental assumption that the sensors’ actual resolving power is equal to the sensor’s pixel pitch. That holds true for a monochrome sensor, a Foevon style sensor that stacks all the colors for each pixel vertically, or a 3-chip system, and all without an optical low-pass filter.

On the other hand, Bayer pattern sensors, and virtually all sensors with optical low-pass filters, can’t actually resolve at their native resolution. The Bayer pattern alone reduces the usable resolving power to something between the native resolution and half of the native resolution depending on the quality of debayering algorithm is. With a lower actual resolving power, the aperture where diffraction becomes a problem increases.

Which brings me to this tool, instead of computing the diffraction limited aperture, I’m computing the effective resolution of a given aperture on various sensor sizes for red, green, and blue light. If the “image resolution” is higher than the resolution of your camera, then you’re not diffraction limited. If the resolution is lower, then you are.

Hi, I'm Jason, the guy behind this site, and I hope you found this article useful. If you did, then maybe you'd be willing to do something to help me.

I think everybody likes to know they're doing something well. If this article was interesting or useful to you, why not smash the like button below and share it?

1+

If you really found this article useful, perhaps you'd consider helping me keep this site online. One easy way to do that is to use one of the affiliate links below. You get to buy yourself something you already wanted, and I get a tiny commission because you used my link. Best of all, it doesn't cost you any more than it normally would. We both win!

Comments

Eric Hiss

Hi and thank you for making these tools available

I was curious how you are calculating the LF 4×5 and 8×10 information at the bottom of the tool? ie – does your methodology assume a bayer type sensor for those as well? The reason I ask is because I was wondering how much a LF sheet film could capture in theory.

    Jason Franke | admin

    The listed resolutions assume a “monochromatic sensor” with square pixels with a edge length equal to the diameter of the diffraction spot calculated for the selected wavelength of light. There’s no compensation for Bayer, or any other color sampling patterns at all.

    The discussion of Bayer patterns is there largely because I don’t consider a color-sampling pattern at all. So practically, you’d need to factor that in to figuring out a real world sensor resolution that would be needed for a given calculated MP.

richard vallon jr

This is truly fascinating- it seems that some years ago I worked out (using my eye) that for an aps-c camera- a Canon that had about 10MP sensor it did not seems useful to go beyond ƒ8 when trying to make a deep focus landscape shot- ƒ11 was simply overall less sharp to the point where smaller details in the distance although they may be in better extended focus and resolve more from more depth of field – now were not rendered any better (actually a bit worse) than ƒ8 as overall resolution had decreased because of the diffraction of the smaller aperture. You chart indicates that at ƒ8 the aps-c has 12MP of resolution – but at ƒ11 only about 6MP. WOW- I’ve taught this to my students but never knew there was a mathematical proof…

Leave a Reply

Basic Rules:
  • All comments are moderated.
  • Abusive, inflamatory, and/or "troll" posts will not be published.
  • Extremely long comments (>1000 words) may be blocked by the spam filters automatically.
  • If your comment doesn't show up, it may have been eaten by the spam filters; sorry about that.
  • See the Terms of Use/Privacy Policy for more details.


Follow me on twitter for updates on when new comments and articles are posted.

Email Notice Details: By checking the above checkbox, you are agreeing to recieve one email at the email address provided with this comment, for the sole purpose of notifing you that the article author has been reseponded to your comment.

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Our cookie and privacy policy. Dismiss