Lidar Photon Return

Estimate monostatic lidar received photons from pulse energy and geometric spreading.

Description

A monostatic photon-return estimate converts pulse energy into photons and applies a two-way geometric spreading factor.

A monostatic photon-return estimate converts pulse energy into photons and applies a two-way geometric spreading factor. Target cross section supplies the scattering scale.1

Estimate monostatic lidar received photons from pulse energy and geometric spreading.

When to use Lidar Photon Return

Use this tool to estimate monostatic lidar received photons from pulse energy and geometric spreading.

Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.

How to use Lidar Photon Return and understand its results

  1. Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
  2. Enter pulseEnergyJoules, wavelengthMeters, systemTransmission, targetCrossSectionM2, receiverAreaM2, rangeMeters using the field table and calculation rules, then run the tool.
  3. Read launchedPhotons, receivedPhotons. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
pulseEnergyJoulesPulse energy (J)number; minimum: 0Required
wavelengthMetersWavelength (m)number; minimum: 0Required
systemTransmissionSystem transmissionnumber; minimum: 0; maximum: 1Required
targetCrossSectionM2Target cross section (m²)number; minimum: 0Required
receiverAreaM2Receiver aperture area (m²)number; minimum: 0Required
rangeMetersTarget range (m)number; minimum: 0Required

Enter nonnegative pulse energy/areas, positive wavelength/range and transmission 0–1. Return fractional expected photon counts.

launched=Eλ/(hc); received=launched×transmission×crossSection×receiverArea/(4πrange²)²

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
launchedPhotonsLaunched photonsnumber; minimum: 0
receivedPhotonsExpected received photonsnumber; minimum: 0
json
{
  "input": {
    "pulseEnergyJoules": 1.9864458571489286e-25,
    "wavelengthMeters": 1,
    "systemTransmission": 1,
    "targetCrossSectionM2": 12.566370614359172,
    "receiverAreaM2": 12.566370614359172,
    "rangeMeters": 1
  },
  "output": {
    "launchedPhotons": 1,
    "receivedPhotons": 1
  }
}

Limitations and assumptions

No detector efficiency, atmospheric profile, extended-target geometry or shot-noise realization is included.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Free-Space Link Margin: Calculate a free-space optical link budget from caller-supplied gains, losses, and sensitivity. For a complementary task, use Underwater Optical Mode Comparison: Compare Beer–Lambert transmission for two underwater optical bands.

References

  1. Lidar Photon Return — tool.io

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