Comb-Ranging Ambiguity

Calculate one-way frequency-comb ranging ambiguity distance.

Description

Frequency-comb ranging ambiguity relates pulse repetition period to a round-trip vacuum distance.

Frequency-comb ranging ambiguity relates pulse repetition period to a round-trip vacuum distance. Half the light travel during one period gives the one-way range.1

Calculate one-way frequency-comb ranging ambiguity distance.

When to use Comb-Ranging Ambiguity

Use this tool to calculate one-way frequency-comb ranging ambiguity distance.

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 Comb-Ranging Ambiguity 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 combRepetitionRateHertz using the field table and calculation rules, then run the tool.
  3. Read ambiguityRangeMeters. 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
combRepetitionRateHertzComb repetition rate (Hz)number; minimum: 0Required

Enter positive rate Hz. Return meters using c=299792458 m/s.

ambiguityRange=c/(2repetitionRate)

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

Output fieldMeaningValue type
ambiguityRangeMetersOne-way ambiguity range (m)number; minimum: 0
json
{
  "input": {
    "combRepetitionRateHertz": 100000000
  },
  "output": {
    "ambiguityRangeMeters": 1.49896229
  }
}

Limitations and assumptions

No ambiguity resolution, refractive-index correction or measurement uncertainty 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 Dual-Comb Time Magnification: Calculate dual-comb asynchronous sampling period and time magnification. For a complementary task, use Synthetic Wavelength: Calculate the two-color synthetic wavelength for interferometric unwrapping.

References

  1. Comb-Ranging Ambiguity — tool.io

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