Fields of View, Lens aberrations,
and Focal length & Shutter
Speeds
Fields of view
As we said at the beginning, a
standard lens is called so because it gives a natural field of view
that is not subject to perspective distortion because it's focal
length matches the sensor or film format being used. The exit angle
of the image matches the entry angle. fig 1. When a lens with an
field of view greater or smaller than this is used the entry and
exit angles are no longer the same, and this causes perspective
proportions to
become distorted.
With a wide field of view the image has to be
squeezed into a smaller space. fig 2. The result is that scale and
distance proportions between foreground and background are increased, objects appearing smaller and
distance greater the further away they are. The wider the angle the
more exaggerated this becomes until a fish eye lens is reached. If
you have ever seen an image from one of these lenses you will know
how distorted the perspective can become, and how surreal the image
that results.
Using a narrower field of view - a telephoto - results
in the image having to be stretched to fit the space, fig 3, and
perspective is again distorted, but in the opposite way. Scale and
distance proportions between foreground and background diminish so that objects far away appear larger
than they are and nearly as big as those close by, and it appears there is
virtually no distance between them.
Lens Aberrations
Using lenses that provide wide
or telephoto fields of view bring with them certain other problems that have to be taken
into account, besides that of perspective, in order to get the best use out of them and produce
worthwhile shots, and some of these relate to general lens design.
Barrel and Pin-cushion distortion
Two basic lens distortions that occur are called pin-cushion and
barrel distortion because that is the effect they have upon an
image. Symmetrical lenses, as exemplified by the standard lens, have
complementary elements at the front and back which cancel out
distortion, but telephoto and wide angle lenses, which
are asymmetrical, do not. Barrel distortion is found in wide angle views, and
pin-cushion in telephoto. Corrective
Lens elements are used to reduce these faults as much as possible
and some lenses exhibit much less distortion than others. The quality of a lens, and it's type,
single focal length [prime/monofocal] or zoom, usually determine how much distortion
occurs. A full frame fish eye lens for
example, one where straight lines appear to bend through 180degrees,
produces the kind of distorted views it does because, deliberately,
no corrective elements are used. It is not made to be a rectilinear
lens. Prime lenses tend to produce less distortions because there
are fewer
elements and less need for optical compromise and it can be optimized for it's particular focal length, while a
zoom involves many elements and some compromise, and the wider the
focal range,
the more compromise is involved.
Corner
Shading & Vignetting
Another problem that can affect
lenses is corner shading, the darkening of the corners of an image.
It is most
noticeable when a lens is used at it's maximum aperture and where
large areas of low variable tone occur - the sky is a prime example
- and reduces
as the aperture is closed down. Although it an be found in any type
of lens it mostly occurs where the optical limits have been pushed
in order to reduce the size and weight and tends to be more
prevalent in wide angle lenses. It is an effect
that occurs because the amount of light that passes through a
lens reduces from the centre outwards. Mostly this goes unnoticed
because the difference is small but if it becomes large enough to be
seen, corner shading is the result. As the lens aperture is stopped
down, and more light is taken from the middle of the lens, and light
dispersal becomes more even, the effect disappears.
Using a lens hood together with flash when focusing at close distances
can also cause this effect as the lens hood can block light reaching
the image area. When this occurs the effect is known as vignetting.
Lens hoods alone can cause vignetting with wide
angle lenses, and is the reason many have 'dedicated' petal shaped
hoods to prevent it.
The examples we have provided of the distortions and
corner shading/vignetting have
been exaggerated to make them clear to see. All lenses produce aberrations
but in the very best lenses
made they are hardly seen whilst in the cheaper types they may be
quite prominent.
Corner
shading has become a more significant problem with the use of
digital cameras than was the case with film. This is because digital
sensors are more sensitive to differing light levels. It is a
particular problem with Full Frame sensor DSLR's.
Flare
Flare is another common problem that can afflict all focal
lengths and results in an overall loss of contrast in an image. It
is caused by secondary light rays - non image forming light - bouncing
around causing reflections within the lens and sometimes the camera
body, and occurs when a very bright light source, usually the sun or
it's reflected rays, are present at an oblique angle to the lens image.
In other words it's not part of the light that forms the image. A lens hood is often
used to help reduce it, as are lens coatings designed to produce a
second reflection from the lens surface which interferes and mostly
cancels out the first reflection. It is called destructive
interference. Wide angle lenses suffer much more from
flare than other types. This is mainly due to the combination of a
large front element, which is required to collect the wide field of view, and the resultant small lens hoods that can be used. Very
great care needs to be used with ultra wide angle lenses outdoors,
as in most cases lens hoods are non-existent [they would cause
vignetting], and excluding the sun's rays is difficult because of the
view captured.
Because
of the highly reflective nature of digital sensor surfaces as
compared to film, extra lens coatings are now being applied to lens
elements, and particularly the rear element, to reduce light
reflection on the sensor and the degrading effect this has on image
quality.
Chroma and Colour Fringing
As the primary colours of light are of different
wavelengths, they travel through lens elements at slightly different speeds
and angles. This causes the light colours to focus at slightly
different lengths, called Chromatic Aberration (CA), and results in loss
of definition - un-sharpness - and colour fringing at the
focal plane. It is a problem that is
particularly noticeable in long focus - telephoto - lenses. The
solution is to use lens elements composed of differing materials
with different indexes of refraction to offset chromatic aberration and special glass that
includes rare earths in it's manufacture, called extra low
dispersion, to offset colour fringing. Lenses that use this glass are usually designated as
such by the inclusion of the letters ED or LD [extra dispersion/
low dispersion] in their product description. A lens that is designed and made to
focus all three colours is classified as an apochromat - APO. Lenses that
included low dispersion elements, and especially those also classified as APO, are
expensive to produce, and to buy.
There
are actually different types of CA. That which we have just
mentioned is the most well known, and is called LCA, Longitudinal
Chromatic Aberration. LCA occurs when different colors focus on
different planes. Where they don't register together at the same
point and the focal plane. For example, the red channel will be out of focus,
while the green and blue channels are in focus. Transverse
Chromatic Aberration. TCA, (also known as Lateral Chromatic
Aberration), occurs when the colors focus on the same plane, but
with different magnifications. For example, the red channel may be
magnified relative to the green and blue channels. These are both
primarily concerned with the design of a lens and the optical
quality of the lens elements.
But
in digital sensor days there is another form of CA that has arisen.
And this is called purple fringing, because it's not to do so much with lens
optical quality and the convergence of the light forming rays on the
focal plane, but rather sensor reaction to them, called 'blooming',
which occurs with high contrast edges. This type of CA has always
been a problem with digicams, and is now starting to become one for
DSLR's for one simple reason, it's related to sensor design and
pixel size, and gets
progressively worse as the number of pixels crammed onto a sensor
increase. And as
sensor counts have risen, so has purple fringing CA.
Digicams
are prone to producing colour fringing in high contrast scenes. This
is often down to their small lenses and sensors and the low
resolution and build quality of the lenses used. DSLR's with their
higher quality lenses have been much better in this respect, although not
entirely colour fringe free. However as pixels become smaller as
sensor counts increase colour fringing is becoming more of a problem
due to the demands being placed on the lens optics. This is a
particular problem with the combination of older 35mm film lenses
design lenses used on full frame sensor DSLR's.
Diffraction
The
edge of opaque surfaces such as aperture blades scatter light waves
slightly. In contrast to other lens faults, reducing the lens
aperture, called stopping down, doesn't reduce or correct it but
actually makes it worse. In most cases lenses perform at their best
when stopped down 2-3 stops from their maximum aperture. This is
called their optimum aperture. When
diffraction occurs in significant levels, the result is considerably
reduced image quality, and more than enough to offset any increase
in depth of field. Diffusion of the image detail occurs, in other
words sharpness is reduced and tonal detail lost. This is
particularly apparent with highlights.
Diffraction
is present at all aperture settings but at large/fast one's is a
small and insignificant proportion of the total light passing
through the lens to the focal plane, and the film/sensor, the
diffusion having no visible effect on the final image quality.
As the aperture is reduced and less
light passes, this diffusion becomes an ever increasing proportion
of the total light and eventually does impact on image quality to
the extent that reducing the aperture further to increase depth of
field results in lower overall image quality, the extra diffusion
offsetting any benefit of extra depth of field. Often a worse image
results at say F32 than at F16. Or at F16 than at F11.
A
situation that is arising with digital cameras, and is particularly
noticeable with DSLR's, is that as the pixel
counts have risen so the effects of diffraction have worsened,
becoming visible at an earlier stage, due to
the size of the pixels in relation to the aperture. In the past, and
using 35mm as the yardstick, diffraction did not normally become significant
until apertures of F16 and more usually F32 and F45 were used. Now
it is appearing earlier at wider apertures.
With
low sensor counts - 5/6/8mp - diffraction occurred at roughly the
same rate it had in the past, around the F16/F32 mark. The
situation now is that with current 10/12mp capture rates diffraction
is appearing much earlier. For the 4/3rds system lenses this is at
around F8, and for the APS-C sensors around F11. Only with the 12mp
full frame types is F16 reached before this arrives. With the higher
resolution full frame sensors, 16-21mp capture, it's back to F11.
None of this is good news for it means
the perceived advantages of increased resolution through higher
pixel counts are being offset by higher levels of diffraction.
Matching
image magnification and Shutter Speed.
Generally, the shutter speed at which a camera can
be handheld without exhibiting blurring due to camera shake varies
from person to person. There are those who are capable of holding a
camera quite still at fairly low speeds, whilst many find great
difficulty at even high speeds. It is also dependant on the level of
magnification the lens provides.
There is a long accepted 'rule of thumb' in 35mm
photography that, on average, to help avoid camera shake when taking a shot hand held,
the shutter speed that should be used with a lens should be at
least the reciprocal of it's focal length or the nearest figure
above it. In other words for a 28mm
lens it's 1/30th, for 50mm 1/60th, 100mm 1/125th, for a 400mm
1/500th etc. It's a very easy and simple guide to follow, for it is only a guide,
but a very useful one. However although it uses focal length as the
basis, it's not really about focal length but field of view and
the scale of image magnification that results, and there is a
relationship between field of view/image magnification and shutter speed.
Here are some comparison shots taken from the same
point at 200mm, 100mm, 50mm and 25mm focal lengths.
and here is a composite image with the different
sizes framed on it
Each time focal length doubles, the field of view
roughly halves, the image magnification doubles, and the area the
image covers is a quarter of that previously. In the image above the
200mm focal length image covers 1/64th of the area of the 25mm shot.
The magnification is 8x times. If you look at aperture and shutter
speed Ev combinations - please refer to Metering
- you will notice that they also run in a scale that doubles or
halves the previous figure. So if you follow this rule and set a
shutter speed of 1/250th/sec for the 200mm focal length you will
notice that it is roughly 8 times the 1/30th/sec speed you would set
for the 25mm focal length.
Using this rule soon becomes second nature to most
photographers. It's not so much a case of rigidly checking the
shutter speed with every shot but rather now and then, and
especially when the light levels look low. Most cameras these days
have exposure modes that are linked to lens focal length and will try
to set a relevant shutter speed. But they can only do this if the
light is good enough. It's useful to be able to gauge whether the
light levels are good enough for the focal length you are trying to
use. If you know that the light level is not high enough then it
gives you the option to support the camera somehow, or chose a
shorter focal length. Regrettably this is often not possible
with many digicams simply because they do not display either
the shutter speed or the focal length in use.