Aquarium light coverage footprint calculator

Calculate nominal footprint length and nominal footprint width with your own figures.

Your numbers

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

Use nominal footprint length and nominal footprint width to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Light height above water (cm)
30
Measured full beam angle along length (degrees)
90
Measured full beam angle across width (degrees)
60
Tank length (cm)
100
Tank width (cm)
40
Nominal footprint length (cm)
60
Nominal footprint width (cm)
34.641016
Centred rectangular footprint coverage fraction
0.519615

Try another scenario

Light height above water (cm)
33
Measured full beam angle along length (degrees)
90
Measured full beam angle across width (degrees)
60
Tank length (cm)
100
Tank width (cm)
40
Nominal footprint length (cm)
66
Nominal footprint width (cm)
38.105118
Centred rectangular footprint coverage fraction
0.628734
Calculation method

Calculation method

Nominal footprint length (cm)

Footprint dimensions=2height tan(beamAngle/2); centred rectangle intersection divided by tank area.

Nominal footprint width (cm)

Footprint dimensions=2height tan(beamAngle/2); centred rectangle intersection divided by tank area.

Centred rectangular footprint coverage fraction

Footprint dimensions=2height tan(beamAngle/2); centred rectangle intersection divided by tank area.

Symbols and units
a
Light height above water (cm)
b
Measured full beam angle along length (degrees)
c
Measured full beam angle across width (degrees)
d
Tank length (cm)
e
Tank width (cm)

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

  • Geometric rectangular beam convention; illumination intensity/uniformity not estimated. 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. Geometric rectangular beam convention; illumination intensity/uniformity not estimated.
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