Thin Lens Image Distance
Thin Lens Image Distance
The thin-lens equation locates the image a lens forms from its focal length and the object distance.
From 1/f = 1/u + 1/v, the image distance v = 1/(1/f − 1/u). where f is the focal length and u the object distance.
Inputs
f := 0.1 m=100 mm
u := 0.15 m=150 mm
Solve the thin-lens equation for image distance.
v_i := 1/((1/f) - (1/u))=300 mm
Results
A positive result means a real image on the far side of the lens. As the object approaches the focal length the image distance grows rapidly toward infinity.
Assumptions & limitations
- Thin lens, paraxial rays.
- Sign convention as stated.
- Single lens in air.