Lee Jay said:
jrista said:
I believe you have made this argument before. Lets see if we can end the debate once and for all here with a little bit of math and fact.
I was referring to spatial resolution. The spatial resolution of an 18mp APS-C sensor (3456 lines @ 14.9mm high) is 116lp/mm, where as the spatial resolution of a 22mp APS-C sensor (3820 lines @ 14.9mm high) is 128lp/mm.
Sorry, wrong already. You're assuming a monochrome sensor with no micro lenses and no AA filter. All three are wrong. The real-world with Bayer masks, microlenses, and AA filters mean you have to divide those numbers by something like 1.5.
Real-world MTF tests on Canon lenses show that rather few of them are even capable of resolving 116lp/mm at around f/4-5.6 (where optical aberrations and diffraction tend to normalize in the average lens), and at f/5.6, the maximum spatial resolution physically possible is 123lp/mm, some 5lp/mm less than what a 22mp APS-C sensor would be capable of.
Sure, you can't get exactly correct with bayer sensors, as they have CFA's and low-pass filters. The numbers I've listed are the theoretical maximums for green pixels, but thats largely besides the point. I'm not arguing 99% vs. 100% accuracy here, I'm just arguing about the the way you seem to abuse the conversion of magnification into megapixels, and the much larger inaccuracies of doing so.
Lee Jay said:
Also wrong. Those tests were either shot on film that can't resolve better than that or shot on digital through an AA filter. Thus, they aren't lens tests but system tests.
Also, your diffraction-limit calculation is wrong. See here:
http://en.wikipedia.org/wiki/Spatial_cutoff_frequency
"As an example, a telescope having an f/6 objective and imaging at 0.55 micrometers has a spatial cutoff frequency of 303 cycles/millimeter."
Thats the absolute maximum for diffraction with an MTF at Dawes Criterion. At that level, a sensor would image nothing but smooth, solid, flat gray. Sensors need a greater separation of airy discs for there to be enough contrast in spatial frequencies to be recorded usefully by the sensor. The human eye is, at best, JUST BARELY able to resolve detail with diffraction at 9% contrast...and that is generally too low for a digital sensor to resolve. Usually, an MTF of around 50% contrast is necessary for film or a digital sensor to resolve useful, unmuddied detail. If you have a subject with particularly low contrast, you might get away with slightly less, but as a general rule, MTF 50% is used to determine lens and sensor resolution in a spatial context.
I usually use a table from Luminous Landscape as a quick reference for spatial resolutions at acceptable contrast levels for photography:
http://www.luminous-landscape.com/tutorials/resolution.shtml
The table there is based on Norman Koren's work. If you have issues with his work, you better take it up with him, as he is highly respected when it comes to lenses, film & sensors, resolving power, sharpness, contrast, etc.
http://www.normankoren.com/Tutorials/MTF6.html
Lee Jay said:
Some of our lenses are now diffraction-limited at f/2.8. That's 650lp/mm.
LOL! Yes, a
PERFECT f/2.8 lens is capable of 649lp/mm...at
just infinitesimally above 0% contrast! You wouldn't get any useful detail from such a lens at that level of contrast...other than flat, solid, unbroken consistency of a single tone. The human eye can't even resolve any detail if contrast is less than 9%, and at that level (well below what a bayer CMOS or CCD sensor can resolve) your down to 532lp/mm. Detail is still rather close to monotone at that level of contrast. At 50% contrast, which would be necessary for a sensor to resolve USEFUL detail (i.e. detail where all line pairs are resolved with enough clarity to consistently tell them apart) you are down to 247lp/mm. That is the number most people would normally use when talking about spatial resolution.
As for DSLR lenses that are actually diffraction-limited at f/2.8...there are VERY FEW. Zeiss may have a lens or two that are diffraction limited at around f/1.7...however I believe those were cinema lenses, not DSLR lenses...and highly specialized to boot. MTF's provided by Canon are THEORETICAL most of the time (I believe their book on lens technology may have included a few real MTF charts for some lenses), generated by computing optical performance using computer models of their lenses, not actual lenses. Their MTF charts depict reproduction accuracy of 10lp/mm (for contrast) and 30lp/mm (for sharpness) meridional and sagittal (opposing diagonal) line pairs. Even with a relatively low f/2.8 resolution (such as 50-70lp/mm, which many Canon lenses ARE capable of) you can get very high marks when the most detail you are resolving is 30lp/mm.
Real-world tests of Canon lenses at maximum aperture have NEVER demonstrated resolutions much above 70lp/mm, so its highly doubtful were getting 247lp/mm out of any Canon lenses...let alone 532, or in your rather humorous case, 650!
Lee Jay said:
Magnification and spatial resolution are NOT the same thing. Adding on a 1.4x TC changes magnification, it does not increase spatial resolution.
It does increase system spacial resolution if you are undersampling the optics without it. That's exactly what we're doing.
If you don't believe me, go outside with any 200mm lens you like attached to a Canon 1.6-crop 18MP sensor with no TCs and see if you can get a picture of Jupiter that looks like this:
http://photos.imageevent.com/sipphoto/samplepictures/T2i__3105%20old.jpg
Or a picture of the moon that looks like this:
http://photos.imageevent.com/sipphoto/samplepictures/T2i__3054%20edited.jpg
Your still talking about magnification, not spatial resolution. You can magnify a subject and still project it through a lens at THE SAME spatial resolution. Magnification and resolution are disjoint concepts, and as such, they can vary independently of each other. You can magnify a subject to a greater extent while also reducing spatial resolution..and you will see greater apparent detail of your larger subject...even though your actual resolving power is lower. (This is normally the case to a small degree when tacking on teleconverters...the additional optical elements each have their own optical aberrations that reduce resolving power...simple matter of physics there until you stop down to smaller apertures...where in the longer focal length results in a smaller effective aperture, so diffraction takes a much larger toll than without a TC.) Its like moving closer to a highly detailed 600ppi print. If you view it at 8 feet, it looks nice as a whole (i.e. looking at the moon with a 100mm lens), however walk closer to 4 feet, and you can see finer details (i.e. looking at the moon with a 200mm lens). Just because you walked closer to the print doesn't mean your eyes are magically capable of resolving more detail, either optically or via your retina...both remain exactly the same as they are...the subject is simply larger, so given a CONSTANT spatial resolution, more detail can be observed.
This is all pretty basic physics. I recommend reading Norman Koren's work...solid stuff, should clear things up.