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Health

Amplitude of accommodation (Hofstetter) calculator

Expected eye-focusing range for a given age, and the approximate near point for reading.

What this calculator does

Amplitude of accommodation (Hofstetter) works out expected eye-focusing range for a given age, and the approximate near point for reading. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaAverage amplitude(D) = 18.5 − 0.30×age; minimum = 15 − 0.25×age; maximum = 25 − 0.40×age (Hofstetter, 1950)

The inputs explained

FieldWhat to enter
Age (years)A number, measured in years. Starts at 30.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with age

Every other input is held at the calculator’s starting values while age varies. Select any row to load that scenario into the calculator.

How the answer changes with age
Age (years)Average amplitudeExpected rangeApprox. near point
1514.00 D11.25 – 19.00 D7.1 cm
22.511.75 D9.38 – 16.00 D8.5 cm
309.50 D7.50 – 13.00 D10.5 cm
455.00 D3.75 – 7.00 D20.0 cm
600.50 D0.00 – 1.00 D200.0 cm
90-8.50 D0.00 – 0.00 DNot defined at this age