Difference between revisions of Optics related math
Dlskidmore (talk | contribs) |
Dlskidmore (talk | contribs) |
||
Line 6: | Line 6: | ||
==Diopters are inverse meters== | ==Diopters are inverse meters== | ||
''See Also [[Diopters]]'' | ''See Also [[Diopters]]'' | ||
''See Also [[cm Measurement]]'' | ''See Also [[cm Measurement]]'' | ||
Revision as of 02:07, 15 June 2020
Here's a page with maths related to diopters and glasses.
You don't really need to know any of this stuff to improve your eyesight, but it's good to know for deeper understanding
Diopters are inverse meters
See Also Diopters
See Also cm Measurement
Remember that 100cm = 1m.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle D = \frac{1}{meters}}
conversely
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle meters = \frac{1}{D}}
Point of refraction
See also Refraction
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s = distance\ to\ object} (meters)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s' = distance\ to\ point\ of\ refraction} (meters)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f = focal\ length\ of\ lens} (meters)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P = power\ of\ lens} (diopters)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{f} = (\frac{1}{s}) + (\frac{1}{s'})}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{1}{f} = P}
Visual acuity equation
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (\frac{font\ height}{distance\ to\ sign})(\frac{180}{60pi}) = arcminutes = a}
Note: 5Arcminutes = 20/20
Set up proportion: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{a}{(\frac{20}{x})} = \frac{5}{(\frac{20}{20})}}
Visual acuity (mm/metres)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{font\ height (mm)}{distance\ to\ sign(m)} \times 13.75 = denominator \times of \frac{20}{x}}
Visual acuity (in/feet)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{font\ height(in)}{distance\ to\ sign(ft.)} \times 1146 = denominator \times of \frac{20}{x}}
With text that we are familiar the brain may clear up that text more than our vision actually operates at.[1]
Average axial length accomodation/rate of change
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle typical\ emmetropic\ eye = 25mm = 25,000\ microns}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle change\ in\ axial\ length\ of\ 1mm=3D}
If someone with typical eyes wanted to adapt say 20/20 to .25 less normalized within 3-4 months would need to decrease axial length 0.083mm about 0.92microns/day - 0.69microns/day average Credit: Mark Podowski
- ↑ The EndMyopia Blog, https://endmyopia.org/use-math-to-turn-any-text-into-your-own-impromptu-eyechart/