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Photographically, vignetting means the darkening
of the corners relative to the centre of the image.
At low levels it is not noticeable to the average
person, and not objectionable photographically, and
at its worst it destroys a picture.
All 'normal' photographic lenses vignette. The
only exception that comes to mind at this time is
the 10mm OP fisheye from Nikon, which might still
be available on special order. This lens was
designed specifically to produce no light fall-off
over the whole image field. See the topic on
fisheye lenses.
A simple lens obeys an optical law called the
cos-4th law (cosine
of the angle of incidence off the lens axis to the
4th power). The cos-4th thing comes from a number
of factors, including that the light gets spread
out over a larger area, and that the corners of the
image are further away from the center of the lens
than the on-axis part of the image. This means that
for a lens with an angle of view of 20 degrees,
where the maximum off-axis angle of incidence is 10
degrees, the corners receive cos(10 degrees) to the
4th power as much light as the center. Cos (10
degrees is 0.9848, so that to the 4th power is
0.9406. This means the corners get 94 percent as
much light as the center, a generally imperceptible
difference. A 20 degree angle of view for a 35mm
camera equates to a 123mm lens. A 50mm lens has a
47 degree angle of view, and the very corners are
23.4 degrees off axis. Cos 23.4 degrees is 0.9178,
and that to the fourth is 0.71. This is about 1/2 a
stop worth of light, and is barely noticeable, if
one looks for it. For a 28mm lens, with a 75 degree
angle of view, cos4th comes to 0.39. So now the
corners only get 39 percent of the light that the
center gets. For a 20mm lens this goes down to 21
percent, and for a 15 this goes to 10.5 percent.
Obviously the last is unworkable; this means the
corners are more than 3 stops down from the center.
Something has to be done.
Today few lenses are simple; usually the only
simple lenses we use for photography are cheapy
close-up lenses, which usually give cheapy results,
and our glasses and contact lenses and eye lenses
that we judge our pictures through before, during
(on direct view cameras) and after taking the
picture. How we manage to make do with such a poor
optical system for our own vision is a topic for
another discussion.
Cameras use complex optical systems. For long
focal lengths we use 'telephoto' design lenses, and
for wideangles we use 'retrofocus' design lenses.
The result of these designs is that we screw up the
cos-4th law. Due to the mirror in SLR cameras, and
for the need for some space between the back of the
lens and the shutter curtain in TTL metering
rangefinder cameras, the part of the lens closest
to the film has to get mo ved further out. Due to
these shenanigans, the angle of incidence of light
from the object to the lens is not the same as the
angle of exit (through the center of the lens) as
it would be in a 'simple' lens. The angle of exit
is really the one that finally determines how harsh
the cos-4th law is, and for retrofocus lenses it is
not nearly as harsh. So, for SLR's, the whole issue
becomes a moot point, as all lenses of less than
40mm are retrofocus designs, and the shorter the
focal length, the more retrofocus they are. End of
(severe) problem. The light falloff stays within
acceptable bounds. Unfortunately (here we go
again), other problems, like distortion, arise. But
that's life.
Very wide angle lenses that are not retrofocus
in design, which are mainly found in view-camera
lenses, get fixed in a different manner. When the
angle of view is very great, and is used to its
fullest, the light falloff due to cos-4th would be
objectionable, so a filter is put over the lens
which is a graduated neutral density, being clear
at the edges and darker at the center, so that the
illumination on the film turns out even. In 35mm,
the Hologon lens for the Contax uses a
Center-filter.
Telephoto lenses are designed as such so that an
800mm lens can be constructed so that th front of
it is less than 600mm from the film, at infinity
focus, instead of 850mm or so. Extreme telephoto
designs have allowed one 300mm lens to be only
about 100mm long. Makes lens handling (and
carrying) extremely convenient. Here, the result
for the cos-4th law is that the exit angle is much
larger than the entrance angle, and there is more
cos-4th falloff than one would expect with a lens
as long as a 300, or 600, or whatever. In any case,
this doesn't matter, as the cos-4th falloff is just
not a concern where the exit angle is less than
that of a 50mm lens. Again, with the telephoto
design, other problems such as distortion crop up.
All the above deals with the type of light
falloff that may be termed 'optical
vignetting'. That is, this falloff occurs
because of intrinsic optical construction and
design.
Then there is 'physical vignetting'. This
is the reduction of light in the corners due to the
lens mount, or filter or lens hood or finger
getting in the way and not allowing as much light
in the corners of the image compared with the
center as the optical laws, including the cos-4th
law, would have us believe. Again, almost every
photographic lens exhibits physical vignetting.
This is due to a number of factors. Firstly, it is
extremely difficult to design a complex lens with a
number of elements so that no vignetting takes
place. The front elements and the rearmost elements
would generally have to be huge, especially for
fast wideangles. This in turn would make the lens
much heavier and more expensive. Secondly, some
aberrations can be controlled by not allowing some
of the edge rays to exist, in effect, stopping down
the lens at the edges. Again, this benefits the
fasters, wider lenses particularly.
In any event, if you mount your lens of concern
on your camera, open the camera back and lock you
shutter open with a cable release or whatever, hold
it up to a brightly lit surface such as a window,
you can look through the front of the lens and see
the film aperture through it. Look for the corners,
and stop your lens down. If you have a 50/1.4 lens
on your camera, you probably have to stop the lens
down 4 stops to f/5.6 or so before it is the
aperture blades that are cutting off the
light coming from all directions, rather than part
of the lens barrel. A 105 macro lens with an
aperture of f/4 might need to be stopped down only
one stop, or also to f/5.6 before the same
condition applies. Only at this aperture or smaller
does physical vignetting cease, and the only
vignetting that still applies is optical
vignetting. (There are actually some very minor
other losses such as glass and surface losses, but
they can generally be ignored.)
What does this mean? Well, it means that very
fast lenses, with apertures like f/1, f/1.2 etc.,
often image a central area with an effective f stop
as you would believe from the advertised number,
but the corners often are 2 to 3 stops darker when
using the lens wide open. This is only a defect if
you choose to believe that, and depending on the
type of pictures you take. Since most images have
the important items in the central region,
especially in very low light situations, you
generally don't suffer. You just have to know your
lens, and use it accordingly. There is more of a
problem with some zooms, especially wide range
zooms which are inexpensive. Here you might find
that physical vignetting is not eliminated until
you stop down to f/11, and I have seen a few where
it never goes away, and is very severe at wide
apertures. It is a problem with these lenses
because they are often used outdoors in normal
bright light shooting situations, and then the sky
gets these dark areas in the corners. This can be
annoying.
Please note that physical vignetting is affected
by the focussed distance of the lens, and by the
focal length of zooms. If you want to check your
lens, check it set at various distances and at
various focal lengths. Note also that you can check
this from the back of the camera as well as from
the front, and a complete test includes both. Some
new, smart electronic cameras don't like having the
back open, or no film in the camera before a time
exposure is started. For these, the easiest method
to do these tests is to insert an old outdated film
that you don't want to shoot with anyway, wind it
to 1, start the time exposure and lock it, and then
open the camera back and take out the cassette and
leave the bit of film hanging from the take-up
spool. After doing your tests, you might have to
pull out the film, close the back and start the
rewind, even though there is no film in the camera,
just to get the camera to think everything is as it
should be. Smart camera mostly, but stupid in some
ways. Note that checking for vignetting by looking
through an SLR's lens from the front and trying to
see the corners of the viewfinder is neither very
easy nor accurate. The finders generally don't show
100 percent of the image, so you might get
vignetting on your negs in the extreme corners that
your viewfinder doesn't care about.
Another way that vignetting can crop up
is by doing it yourself. Put the wrong lenshood on,
screw 5 filters onto your wideangle, or curl your
finger in front of your lens, and you have your
own, personal vignetting. Testing the view through
the lens as described above will quickly let you
know how many filters are too many, or whether you
can stack a lenshood and filter on a particular
lens. The finger has to be dealt with more
severely. If, when looking through the lens, you
can't see the corners of the frame due to the
lenshood or filters, the corners of your pictures
will obviously stay as black as the film and
printing allow. If the light to the corners is
obsructed partly by the filters or lenshood, you
will have some vignetting. Using this test method
on wideangles will show you whether you can use a
regular polarizer safely, or whether you have to
invest in a special wideangle polarizer such as
Nikon's (which are all wideangle polarizers), or
special ones from B&W. Note that this is a more
definite test of vignetting than taking picures, a
lot quicker, and a lot cheaper. Taking pictures
tells you whether the vignetting you have is
bothersome to you, but does not tell you whether or
not you have vignetting, unless you can examine
your negs with a densitometer.
Finally, be aware that vignetting will also be
introduced during the printing stage, and with
negatives, the vignetting of the printing equipment
counteracts the vignetting of the taking equipment.
Balance is unlikely, though, and printing equipment
usually is limited to optical vignetting of the
lens and light condensing system, which is
generally quite low. Projection systems produce
more vignetting. Against all this come our
aesthetic concepts, which, in general, much prefer
corners which are darker than the center, rather
than the other way around. So in printing we often
artificially introduce darkening of the corners.
Therefore, in the end, we come again to the main
concept of photography. If you like the picture
that's produced, it's probably all OK. But
better than that is if you are in control of the
whole process, know what you want to produce, and
can achieve just the amount of vignetting that you
desire.
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