Difference between revisions of Diopters

Jump to navigation Jump to search
No edit summary
m (fixing math display error)
Line 130: Line 130:




<math>P = P_{cyl} (\sin{\left(\theta + \phi\right)})^2 = P_{cyl} \left( \frac{1 - \cos{\left(2\theta + 2\phi \ right)}}{2} \right) = \frac{1}{2} P_{cyl} + \frac{ - P_{cyl}}{2} \cos{\left(2\theta + 2\phi \right)}</math>
<math>P = P_{\text{cyl}} (\sin{(\theta + \phi)})^2 = P_{\text{cyl}} \left( \frac{1 - \cos{(2\theta + 2\phi)}}{2} \right) = \frac{1}{2} P_{\text{cyl}} - \frac{P_{\text{cyl}}}{2} \cos{(2\theta + 2\phi)}</math>


  The constant parts are added to the spherical components. 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 the two cylindrical lenses (see the section on transposition), and its corresponding spherical component must be subtracted from the total spherical component.  
  The constant parts are added to the spherical components. 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 the two cylindrical lenses (see the section on transposition), and its corresponding spherical component must be subtracted from the total spherical component.  
Retrieved from "https://wiki.reducedlens.org/wiki/Diopters"