Doppler Lidar Frequency Shift
Calculate monostatic lidar Doppler frequency shift from radial velocity and wavelength.
Description
Monostatic Doppler shift has a factor of two from the outgoing and returning optical path.
Monostatic Doppler shift has a factor of two from the outgoing and returning optical path. Signed radial velocity fixes the returned sign convention.1
Calculate monostatic lidar Doppler frequency shift from radial velocity and wavelength.
When to use Doppler Lidar Frequency Shift
Use this tool to calculate monostatic lidar Doppler frequency shift from radial velocity and wavelength.
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 Doppler Lidar Frequency Shift and understand its results
- 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.
- Enter radialVelocityMetersPerSecond, wavelengthMeters using the field table and calculation rules, then run the tool.
- Read dopplerShiftHertz. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| radialVelocityMetersPerSecond | Radial velocity (m/s) | number | Required |
| wavelengthMeters | Wavelength (m) | number; minimum: 0 | Required |
Enter finite signed m/s velocity and positive wavelength meters. Return signed hertz.
shiftHz=2velocity/λ Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| dopplerShiftHertz | Round-trip Doppler shift (Hz) | number |
{
"input": {
"radialVelocityMetersPerSecond": 10,
"wavelengthMeters": 0.00000155
},
"output": {
"dopplerShiftHertz": 12903225.806451613
}
}Limitations and assumptions
No spectral extraction, angle projection or relativistic correction is performed.
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 FMCW Lidar Range and Velocity: Calculate ideal FMCW lidar range and radial velocity from separated beat frequencies. For a complementary task, use Heterodyne Displacement: Convert heterodyne Doppler frequency integrated over time into displacement.
References
-
Doppler Lidar Frequency Shift — tool.io
Similar or alternative tools
- FMCW Lidar Range and Velocity
Calculate ideal FMCW lidar range and radial velocity from separated beat frequencies.
- Heterodyne Displacement
Convert heterodyne Doppler frequency integrated over time into displacement.