Difference between revisions of Diopters

Jump to navigation Jump to search
Line 50: Line 50:


===Thin Lens Equation===
===Thin Lens Equation===
The focal length of a lens is given by the lensmaker's equation. By assuming the lens is much thinner than the radius of curvature, therefore assuming lens thickness is zero, we get the thin lens equation. We can do some further derivation, we arrive at the thin-lens equation:<ref>see derivations at https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/02%3A_Geometric_Optics_and_Image_Formation/2.05%3A_Thin_Lenses</ref>
The focal length of a lens is given by the lensmaker's equation. By assuming the lens is much thinner than the radius of curvature, therefore assuming lens thickness is zero, we get a simplified version of the lensmaker's equation. We can do some further derivation, we arrive at the thin-lens equation:<ref>see derivations at https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/02%3A_Geometric_Optics_and_Image_Formation/2.05%3A_Thin_Lenses</ref>


<math>\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}</math>
<math>\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}</math>