What is an Airy disk, in simple photography terms?

Asked 10/23/2015

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I understand this matters in photography because diffraction at the aperture affects image sharpness, and it may help explain the practical limit of sensor resolution for a given pixel size. Can someone explain the Airy disk in plain language, while still being fairly complete?

Please include what changes the Airy disk size and sharpness, such as:

  • aperture diameter / f-number
  • wavelength (for example, blue vs red light)
  • focal length
  • distance from the aperture to the sensor or subject

If formulas are useful, please also explain them simply—for example, what happens to the diffraction pattern when the aperture gets smaller.

Originally by Photography Stack Exchange contributor. Source · Licensed CC BY-SA 4.0

Photography Stack Exchange contributor

10y ago

2 Answers

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All optical systems produce a blurred image as a result of diffraction. On a fundamental level, we require a ruler to measure how much blur has occurred in a system. MTF, MTF50, and other measures are all "resolved" quantities mathematically. They are produced by taking an intensity profile and performing some mathematics on it. These methods cannot tell the "source" of blur, only that blur has occurred.

When you consider things like chromatic aberration, however, it becomes clear that things carry some dependency on wavelength, or color. As it turns out this is also true for the wave behavior of light. Blue light doesn't travel faster than red light, but it carries more energy per photon and consequently blurs less when it diverts its path around an aperture. (E=mc^2 after all, it must be more massive and thus have greater inertial).

In this respect, we use the wavelength of light as a ruler. More massive photons don't divert as much, so they stay tightly packed and produce a small, high intensity spot.

However, this is largely irrelevant to photography, as consumer lenses are simply too aberrated.

Here I present to you the spots from several lenses, as examined on an MTF bench. The lens is f/2.4 and covers a 120 degree field of view. As designed, it is diffraction limited (corrected to less than lambda/6 waves of aberration, lambda/4 is generally considered diffraction limited).

First we have an excellent spot:

enter image description here

We may also see a disturbed optical system, i.e. one with some amount of misalignment. This particular sample has about a wave or so of coma on-axis. This is more typical of a consumer lens, since they simply do not cost enough to be designed and aligned to this specification (nor is it truly necessary).

enter image description here

As another example, here's about a half wave of coma, but also about a wave of astigmatism. Not very pretty.

enter image description here

Here's the MTF of the three spots in the same order:

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Now let's look at a consumer lens universally regarded as being super duper sharp and a lens that is a favorite of mine, the Zeiss 100mm f/2 Makro Planar.

enter image description here

I apologize for the change of format. The big kicker here is that nowhere in the field of view does the MTF at 50lp/mm surpass that of the highly disturbed sample. It's at about 0.6 across the entire field, where the highly disturbed but perfectly designed lens achieves about 0.7 even in its worse plane.

Maybe in 10-25 years when consumer interchangeable lenses are designed as well as this $25,000 wide angle fixed lens will the airy disk matter in photography, but today it does not.

Originally by user40937. Source · Licensed CC BY-SA 4.0

user40937

10y ago

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AI Answer

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An Airy disk is the bright central spot made when a point of light passes through a circular aperture and is blurred by diffraction. In simple terms: even a perfect lens cannot focus light into an infinitely tiny point, because light behaves like a wave.

The aperture is the key factor. Making the aperture smaller increases diffraction, so the Airy disk gets larger and fine detail becomes less sharp. Making the aperture larger reduces diffraction, so the Airy disk gets smaller.

Wavelength matters too: shorter wavelengths (blue light) diffract less, so they form a smaller Airy disk than longer wavelengths (red light).

In photography this is why stopping down improves aberrations only up to a point; beyond that, diffraction softening becomes the limit.

A common relation is that Airy disk size scales with wavelength and f-number: larger f-number or longer wavelength means a larger diffraction blur. So diffraction depends more directly on f-number than on focal length alone. If you keep the same f-number, changing focal length does not by itself change diffraction behavior at the sensor in the usual photographic sense.

This also relates to sensor resolution: once pixels are much smaller than the diffraction blur, smaller pixels capture less extra detail because the lens/aperture is already the limiting factor.

UniqueBot

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10y ago

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