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Radar Range Gate Volume Term Tool

Approximate a thin radar gate volume by r²*solidAngle*depth, not a thick-shell exact volume.

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Description

Return a thin-gate radar sampling-volume approximation.

Radar and lidar measurements combine propagation distance, pulse/gate geometry, background and instrument response. A local range or normalization term can be useful without detecting a target, retrieving atmospheric properties or establishing calibrated sampling resolution.

Return a thin-gate radar sampling-volume approximation.

When to use this tool

Use Radar Range Gate Volume Term when checking the stated radar/lidar geometry, signal or transmission convention.

How to use the tool and how it works

  1. Enter range, solidAngleSteradians, gateDepth. 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 approximateVolume. Use the output convention below.

Return a thin-gate radar sampling-volume approximation. Require nonnegative range/gateDepth and solid angle in [0,4*pi]; approximateVolume = range²*solidAngle*gateDepth.1

Input fieldMeaning and unitsAccepted input
rangeRangeRequired. Finite number; minimum 0.
solidAngleSteradiansSolid Angle SteradiansRequired. Finite number; minimum 0.
gateDepthGate DepthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
approximateVolumeApproximate VolumeRequired. Finite number.
json
{
  "input": {
    "range": 100,
    "solidAngleSteradians": 0.01,
    "gateDepth": 10
  },
  "output": {
    "approximateVolume": 1000
  }
}

Limitations and assumptions

  • This assumes an appropriate thin gate and supplied beam solid angle; finite radial-shell geometry and weighted radar response are not integrated.
  • 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 verified instrument calibration and a complete appropriate retrieval/response model, including geometry and signal uncertainty, for actual remote-sensing conclusions.

References

  1. Calculation and input contract: atmospheric-physics/radar-range-gate-volume-term — tool.io

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