How to calculate focal length? - calculate the focal length
But AFAIK there are no lenses that are diffraction limited (perfectly sharp) at f/1, and most lenses have some optical aberrations/errors at their max aperture setting. So, for most lenses stopping down removes optical errors that you can see/record; while simultaneously increasing diffraction which reduces potential resolution that you can't see/record... at some point/aperture that tradeoff reaches a balance and we tend to call that the lens's sweet spot; where it is as sharp as it can be and lets as much light through as possible at the same time.
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Learn more about optics, the science of light, a branch of physics describing how light behaves and interacts with matter.
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Light itself is sharpest when there is no obstruction/aperture. When the wavefront of light has to pass through a restriction/aperture it creates a new pattern which spreads out... this is called diffraction. An analogy might be water through a garden hose... if you create a smaller restriction by placing your thumb over the opening the water sprays out in a much larger pattern.
I recently asked a question (How to increase the quality of photos taken through a DSLR?) on how to increase the sharpness of my images.
It is actually diffraction and the loss of potential resolution/sharpness that *increases the depth of field in an image (zone of acceptable focus). Because, when the size of the in-focus airy disks matches the size of the blur radius of less focused points, they are recorded as equally sharp. When the airy disks become excessively large and matching points that are even farther out of focus, to the degree that it causes a loss of perceived/acceptable sharpness, then it is diffraction limited.
Different lenses have different behaviours, but as a rule of thumb: if you need maximum sharpness in the center but don't care about corners (for example you are shooting a portrait with shallow DoF), set your aperture to one step higher than lowest available. If you need sharpness across whole frame (typical landscape) start with f/8 and adjust as necessary - some lenses be sharpest at f/5.6, other will need stepping down to f/11.
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If the widest angle is equivalent to 35mm, 3 times that would be 105mm. If the widest angle was 25mm, it would be 75mm. Even though the amount of magnification ...
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So, it's all tradeoffs... do you want more resolution/sharpness from what is actually in focus (larger apertures), or do you want more that is acceptably sharp (more DoF/smaller apertures)?
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Optics is the study oflight
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One of the answers proposed that even though it is known that for landscapes, in order to have a clear picture, it is recommended to use an aperture like f/10 or f/12, I can use f/2.8 or f/5.6 depending on my lenses.
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To answer your question in more simple terms: In general it is not a good practice to use a low aperture for landscapes, but is it is better than underexposing or getting a camera shake from long exposure time.
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While higher f-numbers increase depth of field and reduce optical aberrations in extremes of optical circle (corners and edges), they also introduce diffraction effects across whole frame leading to decrease in overall sharpness. I recommend getting a tripod and shooting the same scene few times with different settings to learn how your lens behaves at different apertures.
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It is often said that the lower the zoom range of a lens, the sharper it is. Maybe try to get a "cheap" (compared to other camera lenses) prime lens (which means that the lens does not zoom; its focal length is fixed) such as a 35mm f/1.8. Then stop down this lens to, let's say f/2.8, and your images will be very sharp.
If there was a lens that was diffraction limited (perfectly sharp) at f/1 it could theoretically project approximately 1900MP onto a full frame sensor (median/green wavelengths). But due to the restriction, and the larger airy disks resulting from the restriction (increased diffraction), the same lens could only project 4MP onto a full frame sensor at f/22... the dots (airy disks) are larger so fewer fit.
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Learn more about optics, the science of light, a branch of physics describing how light behaves and interacts with matter.
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Additional point: getting exposure right and good post-processing is more important than overall sharpness. There are already great answers in your linked previous question. Getting a tripod and better quality prime lens will help (for landscape you can use older, cheaper manual focus lenses - that tree or mountain will not run away as you spend few seconds setting the focus). Another step is using tripod and ND filter for longer exposure times to get that nice, smooth vegetation or water surface while static objects stay razor sharp.
Your first image was shot at F10. The high F-number (smaller aperture) produces deeper depth of field at the expense of more visible diffraction. The DOF makes more of the image look in focus, but the diffraction sacrifices fine detail. For crop sensor, F5.6 is a good place to start. Adjust up or down as desired.
On lenses with small image circles (covering only crop sensor size) diffraction effects will kick in faster, this is why @xiota recommended f/5.6 as starting point for you. On the other side of a spectrum are medium and large format cameras - those will often use f/16 or f/32 and will still have good sharpness.