Difference between revisions of Diopters
Jump to navigation
Jump to search
| Line 110: | Line 110: | ||
<math>F = F_{cyl} (\sin{\left(\theta + \phi\right)})^2 = F_{cyl} \left( \frac{1-\cos{\left(2\theta + 2\phi\right)}}{2} \right) = \frac{1}{2} F_{cyl} + \frac{-F_{cyl}}{2} \cos{\left(2\theta + 2\phi\right)}</math> | <math>F = F_{cyl} (\sin{\left(\theta + \phi\right)})^2 = F_{cyl} \left( \frac{1-\cos{\left(2\theta + 2\phi\right)}}{2} \right) = \frac{1}{2} F_{cyl} + \frac{-F_{cyl}}{2} \cos{\left(2\theta + 2\phi\right)}</math> | ||
The constant parts are added with the spherical components. The cosines can be added by converting them to [https://en.wikipedia.org/wiki/Phasor phasors] and adding the phasors together. The resulting phasor corresponds to one of two cylindrical lenses (see the section on Transposition), and its corresponding spherical | The constant parts are added with the spherical components. The cosines can be added by converting them to [https://en.wikipedia.org/wiki/Phasor phasors] and adding the phasors together. The resulting phasor corresponds to one of two cylindrical lenses (see the section on Transposition), and its corresponding spherical component must be subtracted from the total spherical component. | ||
==References== | ==References== | ||
{{reflist}} | {{reflist}} | ||
[[Category:Articles]] | [[Category:Articles]] | ||