SAF = single autofocus
CAF = continous autofocus
CDAF = Contrast Detect Autofocus
PDAF = Pahase Detect Autofocus.
SAF uses CDAF only.
CAF uses PDAF and CDAF. It's a hybrid system.
PDAF measures distance between subject and camera and drives the lens focus directly to the focus point. It's faster but less accurate than CDAF which racks the lens forward and back to find focus using contrast variations in the subject. CDAF is slower but more accurate as long as the subject has enough contrast variation to detect. If it doesn't, it can jump to a place in the image that has enough contrast if the camera is set to use autofocus points in a pattern larger than the subject.
SAF uses CDAF only. That's why it can't focus where you want it to if there is no contrast there. It will look for an area of contrast and go there.
CAF begins with PDAF to drive the lens focus close where the focus point is without racking the lens. Then CDAF does the final precision focus which is already close to perfect because it takes over after PDAF brings the focus close. CAF racking is minimized because PDAF already placed the lens focus close to the correct subject distance.
If nothing in the composition is moving use SAF because it will use CDAF only and give you the best possible focus as long as there is enough contrast in the subject to detect. It can struggle to find contrast in low light but I haven't seen this problem with the OM-1. The EM5.3 has an illumination light on the front of the body, on the upper right of the lens. It can use this light to focus with SAF/CDAF virtually in the dark. Maybe the OM-1 doesn't need a contrast illuminator light. It's a different sensor. Maybe it shoots a light through the lens. I haven't tried it in the dark but I have in lower light than I would never take a photo in. It worked. Focus doesn't seem to be light-sensitive in a practical range of lighting with the OM-1. It can take a photo using ISO100K... That's pretty dark even with a slow shutter speed. I never tried to take a photo with ISO100K or in light low enough to need it.
If your subject is moving, SAF can work but it will sometimes miss when the subject moves and changes the distance to the camera after it found focus by pushing the shutter halfway and before you fire the shutter or from any shutter lag that is set for example to eliminate shutter shake. If the subject is moving and the camera is set to SAF push the shutter button all the way down. Do not push it halfway and wait. Subject movement may change the distance to the camera before you fire the shutter. Focus will not be adjusted and the photo may be out of focus or the camera will refuse to take the photo if you set it to refuse when the subject is out of focus.
SAF (single autofocus) focuses only once when you press the shutter halfway. CAF is a continuous autofocus system. Since CAF constantly measures distance between the camera and the subject, it will refocus the lens if this distance changes.
The subject can move, changing the distance to the camera without changing the contrast. If it does, SAF does not know the distance changed so it can't adjust focus. It can be wrong so it is programmed to measure focus only once. PDAF (Phase Detect) which CAF uses, knows when the distance from the subject to the camera changes because its constantly measuring it. It can adjust focus if it needs to. That's why it works better for moving subjects.
You can use SAF for moving subjects if you push the shutter all the way down and not just halfway.
When you add tracking to CAF it automatically moves the focus point to follow a moving subject when it detects movement and adjusts focus when it detects a change in the distance from the subject to the camera.
Tracking does not work with SAF because SAF takes one contrast distance measurement when you push the shutter halfway or all the way. It does not continuously measure distance between camera and subject like CAF does so it can't adjust focus when the subject moves and changes the distance to the camera. Since It can make errors due to distance changes it can't detect, tracking is not used with SAF. If it did the camera could track a subject and take an out-of-focus photo unless it's set not to. CAF can work with tracking because it can adjust focus.
Subject Detect works differently. It identifies a shape, focuses on it, then uses the focus points to detect movement of the shape and moves the focus points to stay on the shape. For motorsports and birding I find it amazing if not perfect all the time. It locks on helmets and faces, even inside the helmet behind a dirty windshield on a wet, muddy rallycross track in gloom and rain, and sticks with them. I'm amazed it can do that. I found from inspecting 150 images from each of a Canon 5DIII, R5, and OM-1 in low light, all taken at the same location at the same time focus from the OM-1 was more accurate. I hoped the OM-1 would be almost as good. I never thought it might be better but it was.
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Author of "The Pelican Squadron" - Harvey Gene Sherman
https://www.amazon.com/Pelican-Squadron-Tale-Internet-Bubble-ebook/dp/B08FCY6V7Y