Difference between revisions of Optics related math

Divenal (talk | contribs)
Add placeholders for calculating correction, so I can flesh them out using the section edit
Divenal (talk | contribs)
→From 20/20 prescription: simple geometric argument
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===From 20/20 prescription===
===From 20/20 prescription===


As a reduction from full prescription...
The advantage of calculating the strength of [[differentials]]
as a reduction from full prescription is that you don't have to worry about
the [[cylinder]] element - just preserve that part.
 
Assuming you are wearing your full 20/20 correction (or even if you are fortunate
to be [[emmetropic]]), the eye wants to receive parallel incident light to be relaxed.
So we can use a simple geometric argument to calculate the strength of the (converging)
lens which should be interposed : an object placed at the focus of a converging
lens will result in parallel outgoing light ("focus at infinity").  This parallel light
is exactly what the (fully corrected) eye wants to receive.
 
But rather than actually placing such a lens in front of your full prescription,
simply subtract that value.
 
ie if your screen is 50cm away, that corresponds to a power of <math>\frac{1}{0.5} = 2D</math>.
So that's the value you'd subtract from your full prescription.


===From blur horizon of naked eye===
===From blur horizon of naked eye===