Skip to content

Main content

Optical Path Airmass Factor Tool

Use a plane-parallel secant airmass approximation, excluding the horizon and atmospheric curvature.

Loading tool…

Description

Return plane-parallel airmass and slant 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 airmass and slant optical depth.

When to use this tool

Use Optical Path Airmass Factor when checking the stated optical, radiometric, cloud-code or coverage convention.

How to use the tool and how it works

  1. Enter zenithRadians, verticalOpticalDepth. 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 airmass, slantOpticalDepth. Use the output convention below.

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

Input fieldMeaning and unitsAccepted input
zenithRadiansZenith RadiansRequired. Finite number; minimum 0.
verticalOpticalDepthVertical Optical DepthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
airmassAirmassRequired. Finite number.
slantOpticalDepthSlant Optical DepthRequired. Finite number.
json
{
  "input": {
    "zenithRadians": 0,
    "verticalOpticalDepth": 0.2
  },
  "output": {
    "airmass": 1,
    "slantOpticalDepth": 0.2
  }
}

Limitations and assumptions

  • This secant model omits curvature and becomes unreliable near the horizon; no actual atmospheric transmission is inferred without additional modeling.
  • 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/optical-path-airmass-factor — tool.io

Similar or alternative tools