Reciprocity Law Failure Adjustment Factor Calculator
Apply caller experimentally calibrated intensity exponent relative to reference illuminance, exposing nonlinear versus linear exposure; no universal reciprocity-failure exponent or damage prediction.
Description
A material may respond nonlinearly to illumination intensity.
A material may respond nonlinearly to illumination intensity. A calibrated exponent changes exposure relative to a reference illuminance.
Apply caller experimentally calibrated intensity exponent relative to reference illuminance, exposing nonlinear versus linear exposure; no universal reciprocity-failure exponent or damage prediction.
When to use Reciprocity Law Failure Adjustment Factor Calculator
Use this tool to apply caller experimentally calibrated intensity exponent relative to reference illuminance, exposing nonlinear versus linear exposure; no universal reciprocity-failure exponent or damage prediction.
Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.
How to use Reciprocity Law Failure Adjustment Factor Calculator and understand its results
- Prepare the collection, exposure, scheduling or financial records required for this calculation. Keep row order and the declared units consistent.
- Enter exposureLux, exposureHours, referenceLux, callerIntensityExponent using the field table and calculation rules, then run the tool.
- Read reciprocityAdjustedEquivalentReferenceHours, linearEquivalentReferenceHours, nonlinearToLinearExposureFactor. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| exposureLux | Exposure lux | list of number | Required |
| exposureHours | Exposure hours | list of number | Required |
| referenceLux | Reference lux | number | Required |
| callerIntensityExponent | Caller intensity exponent | number | Required |
Use positive reference lux and exponent and aligned nonnegative intensities and hours. Require positive linear equivalent exposure. Return adjusted and linear hours and their ratio.1
Paired lists must be nonempty and have equal lengths.
adjusted reference hours = Σ(lux/reference lux)^exponent × hours Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| reciprocityAdjustedEquivalentReferenceHours | Reciprocity adjusted equivalent reference hours | number |
| linearEquivalentReferenceHours | Linear equivalent reference hours | number |
| nonlinearToLinearExposureFactor | Nonlinear to linear exposure factor | number |
{
"input": {
"exposureLux": [
10,
100
],
"exposureHours": [
10,
1
],
"referenceLux": 10,
"callerIntensityExponent": 0.5
},
"output": {
"reciprocityAdjustedEquivalentReferenceHours": 13.16227766016838,
"linearEquivalentReferenceHours": 20,
"nonlinearToLinearExposureFactor": 0.658113883008419
}
}Limitations and assumptions
The exponent must be experimentally calibrated; no universal failure factor or damage prediction is supplied.
Numbers and computed results must be finite; overflow produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Light-Sensitive Object Annual Lux-Hours Budget Calculator: Account measured object light exposure and prior annual ledger against caller budget, retaining signed overspend; dose is not a material-safe limit. For a complementary task, use Fugitometer Equivalent Fading Years Estimator: Express measured fugitometer fading as a caller calibrated reference-equivalent exposure duration; same fade coordinate and linear local response assumed, no lifespan/reversibility guarantee.
References
Similar or alternative tools
- Light-Sensitive Object Annual Lux-Hours Budget Calculator
Account measured object light exposure and prior annual ledger against caller budget, retaining signed overspend; dose is not a material-safe limit.
- Fugitometer Equivalent Fading Years Estimator
Express measured fugitometer fading as a caller calibrated reference-equivalent exposure duration; same fade coordinate and linear local response assumed, no lifespan/reversibility guarantee.