Dear Friends,
Subject: Some commentary on the origin of the term 20/20 and what
it actually means. How to calculate the size
letters and make your own.
From the study of optics and astronomy, it was established
that the "high quality" human eye was able to resolve (or
separate) two stars separated by about 1 minute-of-arc.
If you analyze the eye as an optical device, it can be shown
that (at the wave-length of light) diffraction effects will begin
to "kick in", and prevent resolution of much better that 1 MOA.
Some people can do better than this -- however.
Dr. Snellen decided that there should be a simpler method of
checking the eye. He used "bars" separated by 1' of arc. The
effect of making letters to this standard, was that the letters
were 5 minutes-of-arc high.
To calculate the height of the letters, it is easier to use
the "Radian" angle measurement system.
Thus:
5 minutes-of-angle = 0.001455 Radians
Then:
At 6.1 meters, multiply by 0.001455 to = 0.0089
therefore 20/20 = 0.89 cm letters
In inches, 12 * 20 = 240 inches
240 * 0.001455 = 0.35 inches at 20 feet.
So we should say 20/20/0.35 inches to be clear.
Obviously you can obtain the 20/40 size letter by multiplying
0.35 * 2 = 0.70 inches.
The same holds for 20/80 size characters.
Using the above calculations you can set up a chart for 10
feet, or 3.05 meters. You can easily calculate the size of the
letters and cut them out of the newspaper.
THE VISUAL STANDARD CHANGED DURING WORLD WAR I
The above standard is the sharpest vision that can be
obtained by use of a minus lens. This standard was determined to
be excessively high, and therefore unreasonable. As a result,
during WWI, they realized that a great mass of soldiers would be
wearing minus glasses if this standard were enforced. They then
decided to not use the 20/20 standard, and choose 20/40 as
reasonable and acceptable.
If you are working to achieve a reasonable standard of vision
I suggest using the reasonable 20/40 standard rather than using a
strong minus lens to get to 20/20.
This is to avoid having your eyes "adapt" to the minus lens.
This is a TEMPORARY measure. If you are very persistent
with the plus, you can verify your distant vision clearing
to 20/20 -- if you work very hard at it.
As always, enjoy the conversation.
Best,
Otis
Engineer