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Atmospheric Refraction Supplied Gradient Term Tool

Local near-horizontal ray curvature n-gradient/n and first-order signed deflection; no standard-atmosphere refraction table is selected.

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Description

Return a supplied refractive-index gradient term.

Atmospheric optical and radiation quantities distinguish spectral density, integrated flux, solid-angle response and reporting codes. A local attenuation factor, bin contribution or coverage bound requires compatible geometry and definitions rather than establishing a complete radiative transfer or observed cloud state.

Return a supplied refractive-index gradient term.

When to use this tool

Use Atmospheric Refraction Supplied Gradient Term when checking the stated optical, radiometric, cloud-code or coverage convention.

How to use the tool and how it works

  1. Enter refractiveIndex, verticalGradient, pathLength. 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 curvature, smallAngleDeflection. Use the output convention below.

Return a supplied refractive-index gradient term. Require refractiveIndex > 0 and pathLength >= 0; curvature = verticalGradient/index, smallAngleDeflection = pathLength*curvature.1

Input fieldMeaning and unitsAccepted input
refractiveIndexRefractive IndexRequired. Finite number; strictly above 0.
verticalGradientVertical GradientRequired. Finite number.
pathLengthPath LengthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
curvatureCurvatureRequired. Finite number.
smallAngleDeflectionSmall Angle DeflectionRequired. Finite number.
json
{
  "input": {
    "refractiveIndex": 1,
    "verticalGradient": -0.000001,
    "pathLength": 1000
  },
  "output": {
    "curvature": -0.000001,
    "smallAngleDeflection": -0.001
  }
}

Limitations and assumptions

  • The sign follows this scalar gradient convention; no ray tracing, geometric path orientation, curvature profile or actual refraction is solved.
  • 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 the source-specific observation code table and an appropriate calibrated spectral/atmospheric model for actual cloud or radiative interpretation.

References

  1. Calculation and input contract: atmospheric-physics/atmospheric-refraction-supplied-gradient-term — tool.io

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