# Optics - why chromatic aberrations

Cspeed
I understand that chromatic aberrations occur because the different wavelengths of light are separated, but I don't exactly understand what conditions control it. I understand the photography aspect better than the physics of this subject now.

I know that CAs are most common at the edges of photos, especially when the lens has been stopped down all the way (the aperture is completely open). Can any explain/point me to the reasoning behind this? Why should aperture affect this? Are there any equations which exist to explain it? And why at the edges only? Thank you.

Homework Helper
Chromatic aberation is simply different colours being bent by a different amount and so coming to a different point on the focal plane.
Rays at the edge of a lens have to be bent more and so the difference in bending between red and blue is larger in absolute terms and the separation is physically larger at the focal plane.

Cspeed
Thank you! That was so obvious and I don't know why I missed it. But what about aperture?

Homework Helper
At large apertures (ie small numbers, = big hole) the whole lens width is used, the rays at the edge of the glass bend more so more aberration.
With a small aperture (large number = small hole) only the centre of the lens is used, the rays are almost on axis so not bent much so less aberration.

Gold Member
Don't know if you need this wikipedia page since mgb_phys has given you the answer, but they do have some info that might be of interest.
http://en.wikipedia.org/wiki/Aberration_in_optical_systems" [Broken]

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Cspeed
Do you have any idea how much the CAs decrease as you decrease the size of the 'hole?' Does making the opening a little bit smaller reduce it mostly, or is it more of a linear relationship, so that half the diameter of opening means half as much CA? My guess is the latter.

Gold Member
It's more complex than that. CA can be combated in a lot of ways, one of the most popular recently seems to be making up lens-sets of materials of various refractive indexes to come up with a compromise in which longer and shorter wave-lengths can be coaxed to focus onto approximately the same points.

Chromatic aberration is casued by dispersion- the index of refraction varies with wavelength. In order to make 'achromats', 'apochromats', 'superachromats', etc.. requires use of different glasses that have different dispersions.

There's also two kinds of CA- longitudinal and transverse, and I think they are independent. Some optical designers further distinguish between transverse axial, longitudinal axial, transverse, and longitudinal. 'halos' are transverse, while longitudinal means different colors have different focal planes.

As for the severity of CA and numerical aperture (f/#), the aberration function depends on the height of the exit pupil-increasing the numerical aperture increases the exit pupil diameter, increasing the aberration.

Savant13
Reflecting telescopes (as opposed to reflecting) have no chromatic aberration. I find it surprising that there are no reflecting cameras

Gold Member
Reflecting telescopes (as opposed to reflecting) have no chromatic aberration. I find it surprising that there are no reflecting cameras
There have been quite a number of catadioptric lenses produced for SLRs over the years. They have a problem with the optical effects of central obstruction that can be more serious than the CA of well-corrected lenses.

Cspeed
As for the severity of CA and numerical aperture (f/#), the aberration function depends on the height of the exit pupil-increasing the numerical aperture increases the exit pupil diameter, increasing the aberration.

I don't fully understand the 'exit pupil,' but can you confirm that increasing the aperture from f/3.5 to f/22 increases the exit pupil diameter and causes more aberrations?

Gold Member
f:# is quite important in refractors. It is easier to figure longer focal lengths with less chromatic aberration because the curvatures of of the lens elements are shallower. It is much more difficult to figure fast refractors, and it becomes necessary to select lens materials with wider ranges of dispersions in order to pull this off. Takahashi and Astro-physics have both been able to produce some nice fast apochromatic refractors. Takahashi has a lot of astrophotographers on board. Their OTA's are pricey, but really high-quality.