Popping the Myth of the Focal Length Multiplier I

Unfortunately, it's just
a battle of words. You can call it crop factor, you can call it
focal length multiplier, or you can call it by the correct name,
the field of view multiplier, or you can make up your own name.
Exactly. I propose we start calling it 'splongbrub' so we don't get any more of these threads. :-)
 
the pixel density governs the whole concept. Thats what
creates the "FLM" or the "crop factor". If the 30D and 20D
had the same pixel density as the 5D per square, then this
so called crop factor would totally vanish.
Actually no, then it would become purely a crop factor. The term 'focal length multiplier' can be used with some merit exactly BECAUSE the pixels on crop cameras are denser and hence extract more detail out of the smaller area.
 
Like others I have grown tired of this thrashing of an old subject. I have yet to hear of anyone who moves yards backwards in order to get the same FOV that any lens would give on a FF camera when they are using a cropped sensor - I wonder why ?

Keith-C
 
This post comes up every few months - someone is all excited to
bust the big focal length multiplier myth.
But I do believe he wins the award for making the longest post on
this topic ;)
Well, he is a writer after all ;-)

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There is a difference - aperture!
I'm well aware of that. There still isn't anything special about
45mm or 450mm. What matters is the whole system.
A 45mm at f/5.6 will have an 8mm aperture. A 450mm at f/5.6 will
have a 80mm aperture.
Aperture has little to do with detail, other than when you hit
diffraction limits. That isn't in play in any of the typical
camera examples at max aperture.
I don't agree with you here. At 45mm and F5.6 you are definitely diffraction limited on small sensor systems. Even on 35mmFF you start to become diffraction limited.

And remember that the 450mm lens only have to be a F56 to have the same resolving power and diffraction limitations if the format is 10x bigger then used with the 45mm lens.

The diffractions will of course be 10x bigger on the F56 system but detail will also be 10x bigger.

Aperture have everything to do with resolving power/detail if you are diffraction limited. I hope you agree on that sentence ?

--
Henrik
 
The same reason larger telescopes resolve finer details than
smaller telescopes.
Missed this part. Telescopes, especially cheaper ones, are
designed to "go long". At the apertures used, diffraction limits
are very much in play. As I wrote in the previous reply, this is
not typically the case with camera lenses at max aperture.

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In another thread I am arguing with people who TELL me that thier little digicam with it's 450mm EQUIVALENT, and 10x cropping factor can match the resolving power of a 450mm telephoto lens.

Now, I'm not referring to the quibling argument that the sensor is inferior, etc, etc,

NB. A sensor, no matter HOW large, or How many MP's cannot resolve detail that the light striking it does not possess. The larger lens, in the scientific meaning of the word "magnification," resolves more detail. The MUCH smaller lens, due to the crtopping factor gives us "empty magnification." The illusion of magnirifaction because we are presented with the larger BUT cropped image.

They are arguing, that the resolving power of the system allows the 45mm lens to match the real telephoto - in other words, the cropping factor is REALLY a focal lenght multiplier The FLM - which is is not - That is BOTH a marketing term, and/or a term to give you the angle of view.

Here is the scientific definition of "empty magnification."
************
Magnification and Resolution

A microscopy demonstration by Donald Cronkite and Jewel Reuter
NSTA demos at the Swift Instruments booth. March 23 and 24, 2001

Magnification is how much an image is enlarged under a microscope. Resolution is the amount of detail you can see. If you can magnify an image without increasing its resolution, that's empty magnification. We usually think in terms of the magnification of a microscope, but resolution is even more important. A greatly enlarged blur is still a blur.

Resolution is usually expressed in terms of the minimum distance observable between two objects. The smaller the distance that can be seen between two objects, the better the magnification. The resolvable distance for an objective lens is 0.61 l/N.A., where l is the wavelength of the light and N.A. is a property of the lens called the "numerical aperture."

http://www.classtech2000.com/nsta01/magres/magres.htm

Dave
 
Aperture has little to do with detail, other than when you hit
diffraction limits. That isn't in play in any of the typical
camera examples at max aperture.
I don't agree with you here. At 45mm and F5.6 you are definitely
diffraction limited on small sensor systems. Even on 35mmFF you
start to become diffraction limited.
Small-sensor cameras typically have around f/3 or f/3.5 max aperture at this focal length. The G7 is an exception (i.e. not typical) at f/4.8 and is bumping up against diffraction at the pixel level.

For 35mm systems diffraction limits are typically around f/22, but it all depends on the situation. If you are shooting very fine grain film and want maximum detail you should use a smaller CoC and therefore choose a larger aperture. But then you are very limited in what lenses you can use to get that detail through the glass.
And remember that the 450mm lens only have to be a F56 to have the
same resolving power and diffraction limitations if the format is
10x bigger then used with the 45mm lens.

The diffractions will of course be 10x bigger on the F56 system but
detail will also be 10x bigger.

Aperture have everything to do with resolving power/detail if you
are diffraction limited. I hope you agree on that sentence ?
I agree with everything here.

But typically, camera lenses at max aperture are not diffraction limited. I hope you agree with that.

Even on the G7, max detail is not wide open. Max detail on this camera is achieved at a diffraction-limited (by pixel size) aperture, presumably because the lens can't resolve more than that wide open. The review on this site used 22mm f/5, even though f/3.6 was the max aperture available at that focal length.

(warning: huge image)

http://www.dpreview.com/reviews/canong7/Samples/resolution/canonG7-F5.jpg

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the pixel density governs the whole concept. Thats what
creates the "FLM" or the "crop factor". If the 30D and 20D
had the same pixel density as the 5D per square, then this
so called crop factor would totally vanish.
Actually no, then it would become purely a crop factor. The term
'focal length multiplier' can be used with some merit exactly
BECAUSE the pixels on crop cameras are denser and hence extract
more detail out of the smaller area.
To quote from the scientific definition of "Empty Magnification,"

"A clear blur is still a blur."

http://www.classtech2000.com/nsta01/magres/magres.htm

And that in fact is what you get when you multiply the number of pixels on the sensor. You get NO additional resolving power - merely the ability to clarify what is resolved BY THE LENS.

Now obviously if you have sensor of two pixels its ability to resolve detail will be, shall I say, reduced... :)

Nontheless the sensor cannot resolve detail that is not being presented to it. There is no Magic to the science of optics. You cannot turn a 45mm lens into a 450mm lens by reciting the formula or more pixels...

Dave
 
In another thread I am arguing with people who TELL me that thier
little digicam with it's 450mm EQUIVALENT, and 10x cropping factor
can match the resolving power of a 450mm telephoto lens.
It can.

http://www.dpreview.com/reviews/panasonicfz50/page18.asp
http://www.dpreview.com/reviews/canoneos400d/page28.asp

Panasonic FZ50: 1850/1800 LPH
Canon 400D: 2200/1800 LPH

Both seem to resolve detail quite well. The 400D did a bit better, but it's shooting through a prime lens. If I believed your story, the Pany numbers should be about 1/3 the Canon numbers.
NB. A sensor, no matter HOW large, or How many MP's cannot resolve
detail that the light striking it does not possess.
Absolutely correct. What you fail to notice is that the detail is there for the sensor to see.
Resolution is usually expressed in terms of the minimum distance
observable between two objects. The smaller the distance that can
be seen between two objects, the better the magnification. The
resolvable distance for an objective lens is 0.61 l/N.A., where l
is the wavelength of the light and N.A. is a property of the lens
called the "numerical aperture."

http://www.classtech2000.com/nsta01/magres/magres.htm
You should read this link. NA is the angle of light. It is directly related to f number, not aperture diameter. In other words, NA for an f/2.8 lens is the same whether the lens is 45mm f/28 or 450mm f/2.8.

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tko wrote:
(snip)
Bottom line is, a 100 mm lens on a 2.0 crop factor camera will take
a picture identical to a 200 mm lens on a 1.0 crop factor camera
(ignoring pixel noise, and perhaps a slight change in sharpness due
to using the lens center) Whether calling it a focal length
multiplier is correct terminology is hardly important. True the
optically defined focal length of the lesn hasn't changed, but for
every practical photographic aspect you can't tell the difference.
The above is completlely false. And that's why this question comes up. You are argueing against the science of optics and physics.

And there is the practical aspects of why this question comes up. People who do photography who need telephoto - i.e. wildlife, astronomy, sports, etc, are sometimes under the impression that their $400 digicam can match real telephoto lenses and equipment.

Absolutely, the high resolution (not to be confused with resolving power) of these sensors can create some pretty pictures - but they have the resolving power of their little lens, not the resolving power of the actually focal length.

If a birders shot cannot resolve feathers with their 45mm lens, then equally so they cannot resolve feathers with the 450 equivalent -

Dave
 
Come on Tim, you know what he's talking about. FF here is not a MF or LF or anything else; 99.99999999% of the time it means a 24x36 35mm format as sold by all previous film body mfgs and now only by Canon.
You confirmed WHICH 'Full frame' you keep referring to.
I have 4 different size 'Full Frame' SLRs in my house, which one
are you talking about?

If you are going to sound off as though you want to be taken
seriously, then DEFINE your terms, sir!

8^)
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  5. ### # >
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In another thread I am arguing with people who TELL me that thier
little digicam with it's 450mm EQUIVALENT, and 10x cropping factor
can match the resolving power of a 450mm telephoto lens.
It can.

http://www.dpreview.com/reviews/panasonicfz50/page18.asp
http://www.dpreview.com/reviews/canoneos400d/page28.asp

Panasonic FZ50: 1850/1800 LPH
Canon 400D: 2200/1800 LPH

Both seem to resolve detail quite well. The 400D did a bit better,
but it's shooting through a prime lens. If I believed your story,
the Pany numbers should be about 1/3 the Canon numbers.
NB. A sensor, no matter HOW large, or How many MP's cannot resolve
detail that the light striking it does not possess.
Absolutely correct. What you fail to notice is that the detail is
there for the sensor to see.
Resolution is usually expressed in terms of the minimum distance
observable between two objects. The smaller the distance that can
be seen between two objects, the better the magnification. The
resolvable distance for an objective lens is 0.61 l/N.A., where l
is the wavelength of the light and N.A. is a property of the lens
called the "numerical aperture."

http://www.classtech2000.com/nsta01/magres/magres.htm
You should read this link. NA is the angle of light. It is
directly related to f number, not aperture diameter. In other
words, NA for an f/2.8 lens is the same whether the lens is 45mm
f/28 or 450mm f/2.8.

--
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I did not see in the test of the digicams what focal length was chosen. While the sSLR's were shot with primes.

Clearly comparing a prime with a prime will yield similar results in resolving power.

Dave
 
Dave,

This is bad, bad bad...

Don't annoy the villagers. I've fought this argument for many years here and the only thing you do it get them (the 1.5x, 1.6x crowds) lathered up and reaching for their pitchforks.

The more enlightened know that pixel density is not the same thing as magnification or lens extension, but for your own good stay away from the "knoin" camp if you want to keep your head. Many over there still howl at the moon when someone brings up the dreaded "larger sensor".

You'll be pilloried while they're preparing your stake......
 
Resolution is usually expressed in terms of the minimum distance
observable between two objects. The smaller the distance that can
be seen between two objects, the better the magnification. The
resolvable distance for an objective lens is 0.61 l/N.A., where l
is the wavelength of the light and N.A. is a property of the lens
called the "numerical aperture."

http://www.classtech2000.com/nsta01/magres/magres.htm
You should read this link. NA is the angle of light. It is
directly related to f number, not aperture diameter. In other
words, NA for an f/2.8 lens is the same whether the lens is 45mm
f/28 or 450mm f/2.8.
I suspect the error is that the above formula is for calculating the image resolution which doesn't tell us about overall detail unless the format size is taken into account. One could have a very high image resolution while at the same time having a poor resolution of the object being photographed or vice versa. This explains the high resolutions achievable with large format systems despite the low (image) resolution lenses used.

Perhaps the better formula would be something like 250,000λ d where λ is the wavelength in metres and d is the aperture, also in meters. This formula gives the resolving power of the lens in seconds of arc so clearly, larger physical apertures can achieve higher resolutions, irrespective of focal ratio.

Focal length is (theoretically) unimportant when calculating the resolving power of a lens but in the real world, it's far easier to construct diffraction limited optics with relatively slower focal ratios which implies large focal lengths if one desires to use large apertures.
 
http://www.dpreview.com/reviews/panasonicfz50/page18.asp
http://www.dpreview.com/reviews/canoneos400d/page28.asp

Panasonic FZ50: 1850/1800 LPH
Canon 400D: 2200/1800 LPH

Both seem to resolve detail quite well. The 400D did a bit better,
but it's shooting through a prime lens. If I believed your story,
the Pany numbers should be about 1/3 the Canon numbers.
I did not see in the test of the digicams what focal length was
chosen. While the sSLR's were shot with primes.
Click on the image and check the EXIF data, it is about 20mm IIRC. The Canon was shot with a 50mm lens. The distance is about the same. Yet, somehow, both resolve the same detail. According to you, this is not possible. Perhaps you should rethink your theories.
Clearly comparing a prime with a prime will yield similar results
in resolving power.
The comparison is a prime on the DSLR and a zoom on a digicam with a sensor 1/3 the size. The digicam is handicapped. Regardless, both end up with quite similar resolution at similar "35mm effective" focal lengths (i.e. around 80mm).

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Exactly what I said, thank you. What do you get when you give
the 5D the same pixel density as a 30D? Basically a MKIIDs
Its all about the resolution and you basically quoted me but
from a different angle...
the pixel density governs the whole concept. Thats what
creates the "FLM" or the "crop factor". If the 30D and 20D
had the same pixel density as the 5D per square, then this
so called crop factor would totally vanish.
Actually no, then it would become purely a crop factor. The term
'focal length multiplier' can be used with some merit exactly
BECAUSE the pixels on crop cameras are denser and hence extract
more detail out of the smaller area.
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BUT
Emotion is much more fun!

Watch out for the exposure police.
They will tell you that its wrong even
though they weren't there to witness it.

Come visit me at:
http://www.pbase.com/keithallenlaw
See my profile for what i shoot with.

 
(I do not recommend reading this old subthread):
http://forums.dpreview.com/forums/read.asp?forum=1018&message=21847767
Would you please, please, stop quoting microscope-related articles? We're talking about digital cameras here. Not about microscopes. Things that you read about microscopes do not necessarily apply to digital cameras. Even though, as you point out, they are written by (gasp) scientists.
And that in fact is what you get when you multiply the number of
pixels on the sensor. You get NO additional resolving power -
merely the ability to clarify what is resolved BY THE LENS.
Resolving power is not a digital-camera related notion. Digital cameras deal with resolution , and resolution can - and does - grow with the number of pixels.
Now obviously if you have sensor of two pixels its ability to
resolve detail will be, shall I say, reduced... :)
But, do you notice that the notion resolving power can't account for this reduction?
Nontheless the sensor cannot resolve detail that is not being
presented to it. There is no Magic to the science of optics.
So, how do you explain the small-sensor digicams?

Boris
 
This
explains the high resolutions achievable with large format systems
despite the low (image) resolution lenses used.
Yep.
Perhaps the better formula would be something like 250,000λ d
where λ is the wavelength in metres and d is the aperture,
also in meters. This formula gives the resolving power of the lens
in seconds of arc so clearly, larger physical apertures can achieve
higher resolutions, irrespective of focal ratio.
"can" achieve is different from "does" achieve.

It's a nice theoretical argument, but it doesn't pan out for the cameras in question. Undoubtably if you had a very fine 450mm f/2.8 in front of a 35mm sensor with 2 micron pixels, and a very fine 90mm f/2.8 in front a 1/1.8" sensor also with 2 micron pixels, the 35mm sensor will absolutely smoke the 1/1.8" sensor for detail.

But that would be a 216mp 35mm sensor and 10mp 1/1.8". The 1/1.8" sensor with that pixel count exists today, the 35mm with that pixel count doesn't.

In the real world we are comparing cameras of similar pixel count. 6mp, 8mp, 10mp, 12mp, whatever, but not 216mp. At similar pixel counts, they test out about the same for resolution.

If you were to stuff 216mp into a 1/1.8" sensor and compare it to 216mp on a 35mm sensor, the 35mm sensor cam would win unless the 1/1.8" sensor cam has a very fine f/0.5 lens (and f/0.5 is the most you can do in air). Good luck!

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