BDFA Band Coverage

Measure BDFA gain-window coverage of a caller-supplied target band.

Description

Gain-band coverage compares a supplied BDFA interval with a requested target band.

Gain-band coverage compares a supplied BDFA interval with a requested target band. Coverage is the fraction of target width inside their intersection.1

Measure BDFA gain-window coverage of a caller-supplied target band.

When to use BDFA Band Coverage

Use this tool to measure BDFA gain-window coverage of a caller-supplied target band.

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 BDFA Band Coverage 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 gainMinimumNanometers, gainMaximumNanometers, targetMinimumNanometers, targetMaximumNanometers using the field table and calculation rules, then run the tool.
  3. Read overlapNanometers, targetCoveragePercent, fullyCovered. 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
gainMinimumNanometersBDFA gain minimum (nm)numberRequired
gainMaximumNanometersBDFA gain maximum (nm)numberRequired
targetMinimumNanometersTarget band minimum (nm)numberRequired
targetMaximumNanometersTarget band maximum (nm)numberRequired

Enter finite gain bounds with lower≤upper and target lower<upper. Return overlap, coverage and full-containment flag.

overlap=max(0,min(upper)−max(lower)); coverage%=100overlap/targetWidth

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

Output fieldMeaningValue type
overlapNanometersBand overlap (nm)number; minimum: 0
targetCoveragePercentTarget-band coverage (%)number; minimum: 0; maximum: 100
fullyCoveredTarget fully coveredboolean
json
{
  "input": {
    "gainMinimumNanometers": 1300,
    "gainMaximumNanometers": 1500,
    "targetMinimumNanometers": 1400,
    "targetMaximumNanometers": 1600
  },
  "output": {
    "overlapNanometers": 100,
    "targetCoveragePercent": 50,
    "fullyCovered": false
  }
}

Limitations and assumptions

No bismuth-fiber gain spectrum or wavelength positivity is embedded. Touching intervals have zero overlap.

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. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Brillouin Stokes Cascade: Generate cascaded Brillouin Stokes frequencies from a pump and fixed shift. For a complementary task, use TDFA Band Overlap: Calculate overlap between TDFA gain and a requested signal band.

References

  1. BDFA Band Coverage — tool.io

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