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Radiant Intensity Isotropic Flux Factor Tool

Convert uniform radiant intensity per steradian to total full-sphere radiant flux.

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Description

Convert uniform isotropic radiant intensity to total flux.

Spectral and radiation quantities depend on their denominator coordinates, reference levels and physical definitions. A density per wavelength changes by a Jacobian when expressed per frequency, and photon counts, radiant energy, exposure and absorbed dose remain different quantities.

Convert uniform isotropic radiant intensity to total flux.

When to use this tool

Use Radiant Intensity Isotropic Flux Factor when checking the stated spectral, photon, attenuation or radiometric conversion.

How to use the tool and how it works

  1. Enter intensity. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read flux. Use the output convention below.

Convert uniform isotropic radiant intensity to total flux. Require intensity >= 0; flux = 4*pi*intensity.1

Input fieldMeaning and unitsAccepted input
intensityIntensityRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
fluxFluxRequired. Finite number.
json
{
  "input": {
    "intensity": 2
  },
  "output": {
    "flux": 25.132741228718345
  }
}

Limitations and assumptions

  • W/sr gives watts; anisotropic sources require angular integration and are not modeled by this multiplier.
  • 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 a complete spectrum, measurement calibration and appropriate physical interaction model for integration, uncertainty or exposure interpretation.

References

  1. Calculation and input contract: convert/radiant-intensity-isotropic-flux-factor — tool.io

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