NOPA Bandwidth Overlap

Calculate spectral overlap between a NOPA seed and gain window.

Description

NOPA overlap treats seed and gain bands as symmetric intervals around their centers.

NOPA overlap treats seed and gain bands as symmetric intervals around their centers. Seed coverage is the overlap relative to seed width.1

Calculate spectral overlap between a NOPA seed and gain window.

When to use NOPA Bandwidth Overlap

Use this tool to calculate spectral overlap between a NOPA seed and gain window.

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 NOPA Bandwidth Overlap 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 seedCenterNanometers, seedBandwidthNanometers, gainCenterNanometers, gainBandwidthNanometers using the field table and calculation rules, then run the tool.
  3. Read overlapBandwidthNanometers, seedCoveragePercent. 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
seedCenterNanometersSeed center wavelength (nm)numberRequired
seedBandwidthNanometersSeed bandwidth (nm)number; minimum: 0Required
gainCenterNanometersNOPA gain center (nm)numberRequired
gainBandwidthNanometersNOPA gain bandwidth (nm)number; minimum: 0Required

Enter finite signed centers and nonnegative bandwidths in nm. Return overlap and coverage; zero seed width returns coverage zero as a placeholder.

overlap=max(0,min(upperEdges)−max(lowerEdges)); coverage%=100overlap/seedWidth

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

Output fieldMeaningValue type
overlapBandwidthNanometersSeed/gain overlap bandwidth (nm)number; minimum: 0
seedCoveragePercentSeed bandwidth covered (%)number; minimum: 0; maximum: 100
json
{
  "input": {
    "seedCenterNanometers": 800,
    "seedBandwidthNanometers": 100,
    "gainCenterNanometers": 825,
    "gainBandwidthNanometers": 100
  },
  "output": {
    "overlapBandwidthNanometers": 75,
    "seedCoveragePercent": 75
  }
}

Limitations and assumptions

No spectral gain profile, phase matching or wavelength-positivity check 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 TDFA Band Overlap: Calculate overlap between TDFA gain and a requested signal band. For a complementary task, use Volume-Bragg Bandpass Check: Check whether a signal lies inside a volume-Bragg grating passband.

References

  1. NOPA Bandwidth Overlap — tool.io

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