Exploring How f-Number Affects Depth of Field

In summary, by stopping down a camera lens to a larger f-number, the depth of field increases and the image becomes sharper. This is due to the smaller diameter of the hole, which reduces exposure and decreases aberration and astigmatism. This allows for more light rays to converge on the same point on the film, resulting in a sharper image. The effect is not exclusive to cheap lenses, as even theoretically ideal lenses can still be affected by this phenomenon. The smaller diameter of the hole also prevents light rays from converging on the same point, leading to a blurry image.
  • #1
JSGandora
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Homework Statement


Why is the depth of field greater, and the image sharper, when a camera lens is "stopped down" to a larger f-number? Ignore diffraction.


Homework Equations


f-number=f/D where D is the diameter of the hole.


The Attempt at a Solution


At a larger f-number, the diameter of the hole is smaller so there is less exposure, although I'm not sure what that has to do with the depth of field. Can someone help me?
 
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  • #2
If you drew a diagram of light rays from subject to film plane, where would you draw light rays passing through the aperture? More specifically, how many different light rays could you draw? What's bad about different light rays when it comes to sharpness of an image?
 
  • #3
Ahh, with small aperature comes less aberration and astigmatism right?
 
  • #4
JSGandora said:
Ahh, with small aperature comes less aberration and astigmatism right?

Well yes but it's more than that. Even with a theoretically ideal lens (no aberration or astigmatism) the effect is still there. It is not an effect of cheap lenses (otherwise the most expensive lenses would laugh at depth of field issues, would they not?)
 
  • #5
Oh, because the diameter is smaller, the light rays don't really converge on a point and so some of the rays that come from the same point but pass through the hole at different points don't converge on the same point on the film which makes it blurry. Is that correct?
 

1. What is f-number?

F-number, also known as aperture value, is the measure of the size of the opening of a lens. It is represented by a number, such as f/1.8 or f/22, and controls the amount of light that enters the camera.

2. How does f-number affect depth of field?

F-number directly affects depth of field, which is the range of distance in a photograph that appears to be in focus. A lower f-number (larger aperture) will result in a shallower depth of field, while a higher f-number (smaller aperture) will result in a greater depth of field.

3. What is the relationship between f-number and shutter speed?

F-number and shutter speed are both important settings in photography and are closely related. A lower f-number (larger aperture) allows more light into the camera, so a faster shutter speed can be used to properly expose the photo. On the other hand, a higher f-number (smaller aperture) requires a slower shutter speed to allow enough light into the camera.

4. Can f-number be adjusted on all cameras?

F-number can be adjusted on most cameras, including DSLRs, mirrorless cameras, and some point-and-shoot cameras. However, some basic point-and-shoot cameras may have a fixed aperture and cannot change the f-number.

5. How can I use f-number to create a specific depth of field effect?

The best way to control depth of field using f-number is to use a larger aperture (lower f-number) for a shallow depth of field, and a smaller aperture (higher f-number) for a greater depth of field. Additionally, using a longer focal length and getting closer to your subject can also help create a shallow depth of field effect.

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