Optical density stack calculator

Calculate total optical density and transmitted intensity fraction with your own figures.

Your numbers

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

Use total optical density and transmitted intensity fraction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Filter optical densities
0.3,0.6,1
Total optical density
1.9
Transmitted intensity fraction
0.012589
Exposure compensation (stops)
6.311663

Try another scenario

Filter optical densities
1.3,0.6,1.0
Total optical density
2.9
Transmitted intensity fraction
0.001259
Exposure compensation (stops)
9.633591
Calculation method

Calculation method

Total optical density

D=sum densities; T=10^-D; stops=D log2(10).

Transmitted intensity fraction

D=sum densities; T=10^-D; stops=D log2(10).

Exposure compensation (stops)

D=sum densities; T=10^-D; stops=D log2(10).

Symbols and units
a
Filter optical densities

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

  • Independent ideal absorptive filters, neglecting multiple reflections. 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. Independent ideal absorptive filters, neglecting multiple reflections.
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