Separated lens effective focal length calculator

Calculate equivalent focal length and equivalent optical power with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use equivalent focal length and equivalent optical power to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

First focal length (mm)
100
Second focal length (mm)
200
Lens separation (mm)
50
Equivalent focal length (mm)
80
Equivalent optical power (diopters)
12.5

Try another scenario

First focal length (mm)
110.00000000000001
Second focal length (mm)
200
Lens separation (mm)
50
Equivalent focal length (mm)
84.615385
Equivalent optical power (diopters)
11.818182
Calculation method

Calculation method

Equivalent focal length (mm)

Equivalent power=1/f1+1/f2-separation/(f1f2), all in mm.

Equivalent optical power (diopters)

Equivalent power=1/f1+1/f2-separation/(f1f2), all in mm.

Symbols and units
a
First focal length (mm)
b
Second focal length (mm)
c
Lens separation (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Paraxial thin lenses in air; excludes afocal case. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Paraxial thin lenses in air; excludes afocal case.
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