Description
Calculate irradiance from supplied uniform radiance and projected solid angle.
A unit conversion preserves the underlying quantity only when the source and target definitions match. Ratios such as strain and relative density are dimensionless, whereas spectral densities need a bandwidth and radiance needs projected angular coverage. A supplied label or scale factor does not verify the physical definition or measurement conditions.
Calculate irradiance from supplied uniform radiance and projected solid angle.
When to use this tool
Use Radiance Irradiance Solid Angle Factor when you already have uniformRadiance, suppliedProjectedSolidAngleSteradians and need to calculate irradiance from supplied uniform radiance and projected solid angle.
How to use the tool and how it works
- Enter uniformRadiance, suppliedProjectedSolidAngleSteradians. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read irradiance. Use the output convention below.
Require both inputs>=0; return uniformRadiance*suppliedProjectedSolidAngleSteradians.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| uniformRadiance | Constant radiance over that projected angular region, on a consistent spectral or broadband basis. | Required. Finite number; minimum 0. |
| suppliedProjectedSolidAngleSteradians | Nonnegative projected angular integral ∫cos(θ)dΩ for the stated geometry; not generally the raw solid angle. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| irradiance | Irradiance | Required. Finite number. |
{
"input": {
"uniformRadiance": 5,
"suppliedProjectedSolidAngleSteradians": 2
},
"output": {
"irradiance": 10
}
}Limitations and assumptions
- The solid-angle factor must already include the surface-projection weighting. Raw solid angle alone is insufficient for arbitrary directions; no angular distribution, surface orientation or optical system is integrated.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Check the original quantity definition, calibration and unit basis before converting. Integrate a varying spectrum or angular distribution when a constant-bin or uniform-radiance approximation is insufficient, and retain the relevant reference conditions.
References
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