basic

Thin Lens Equation Calculator

1/f = 1/d_o + 1/d_i.

Solve the thin-lens equation for image distance d_i and magnification m, given the focal length f and object distance d_o, using 1/f = 1/d_o + 1/d_i and m = −d_i / d_o.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

cm
cm

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

1/f = 1/d_o + 1/d_i; magnification m = −d_i / d_o.

In depth

Solve the thin-lens equation for image distance d_i and magnification m, given the focal length f and object distance d_o, using 1/f = 1/d_o + 1/d_i and m = −d_i / d_o.