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Aerosol Optical Depth Slant Factor Tool

Use the plane-parallel secant air-mass approximation; curvature and refraction are excluded.

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Description

Return plane-parallel slant aerosol optical depth.

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 plane-parallel slant aerosol optical depth.

When to use this tool

Use Aerosol Optical Depth Slant Factor when checking the stated optical, radiometric, cloud-code or coverage convention.

How to use the tool and how it works

  1. Enter verticalDepth, zenithRadians. 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 slantDepth. Use the output convention below.

Return plane-parallel slant aerosol optical depth. Require verticalDepth >= 0 and zenithRadians in [0,pi/2); slantDepth = verticalDepth/cos(zenith).1

Input fieldMeaning and unitsAccepted input
verticalDepthVertical DepthRequired. Finite number; minimum 0.
zenithRadiansZenith RadiansRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
slantDepthSlant DepthRequired. Finite number.
json
{
  "input": {
    "verticalDepth": 0.2,
    "zenithRadians": 1.0471975511965976
  },
  "output": {
    "slantDepth": 0.3999999999999999
  }
}

Limitations and assumptions

  • This secant approximation becomes unsuitable near the horizon and does not model Earth curvature, multiple scattering or actual aerosol observations.
  • 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-science/aerosol-optical-depth-slant-factor — tool.io

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