Description
Return a Malus-law polarizer factor with supplied leakage.
Illuminance, accumulated light exposure, polarization and color-coordinate differences are different optical quantities. Lux-hours combine illuminance and duration; one coordinate difference does not describe a complete color difference or an object’s susceptibility to damage. Optical and preservation interpretation require suitable calibration and material context.
Return a Malus-law polarizer factor with supplied leakage.
When to use this tool
Use Artwork Photography Polarizer Angle Factor when checking the stated illumination, exposure or optical-coordinate term.
How to use the tool and how it works
- Enter incidentIntensity, relativeAngleRadians, leakageFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read idealTransmission, intensity. Use the output convention below.
Return a Malus-law polarizer factor with supplied leakage. Require incidentIntensity >= 0 and leakageFraction in [0,1]; idealTransmission = cos(angleRadians)^2, intensity = incident*(leakage+(1-leakage)*ideal).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| incidentIntensity | Incident Intensity | Required. Finite number; minimum 0. |
| relativeAngleRadians | Relative Angle Radians Unit: rad. | Required. Finite number. |
| leakageFraction | Fraction transmitted even at the ideal crossed angle; interpolates with cos²(relativeAngleRadians). | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| idealTransmission | Ideal Transmission | Required. Finite number. |
| intensity | Intensity | Required. Finite number. |
{
"input": {
"incidentIntensity": 100,
"relativeAngleRadians": 0,
"leakageFraction": 0.01
},
"output": {
"idealTransmission": 1,
"intensity": 100
}
}Limitations and assumptions
- This assumes the stated polarization/leakage model; actual illumination, camera response and conservation-safe exposure are not assessed.
- 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
Use calibrated lighting/color measurements and an object-specific conservation assessment for display limits, color fidelity or deterioration risk.
References
Similar or alternative tools
- Display Light Pulse Duty Factor
Return duty-cycle mean illuminance and accumulated exposure.
- Paper Fiber Expansion Relative Humidity Term Tool
Caller-calibrated local linear hygroscopic expansion; humidity change is in percentage points, not a fractional RH change.