Praseodymium Line Match

Match a requested wavelength to caller-supplied praseodymium fiber lines.

Description

Line matching selects the closest entry from a supplied praseodymium wavelength list.

Line matching selects the closest entry from a supplied praseodymium wavelength list. A caller tolerance determines acceptance.1

Match a requested wavelength to caller-supplied praseodymium fiber lines.

When to use Praseodymium Line Match

Use this tool to match a requested wavelength to caller-supplied praseodymium fiber lines.

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 Praseodymium Line Match 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 requestedWavelengthNanometers, availableLinesNanometers, maximumDetuningNanometers using the field table and calculation rules, then run the tool.
  3. Read nearestLineNanometers, detuningNanometers, withinTolerance. 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
requestedWavelengthNanometersRequested wavelength (nm)numberRequired
availableLinesNanometersAvailable praseodymium lines (nm)list of numberRequired
maximumDetuningNanometersMaximum detuning (nm)number; minimum: 0Required

Enter finite requested/list wavelengths, a nonempty line list and nonnegative nm tolerance. Preserve first entry on equal-distance ties. Return nearest line, detuning and flag.

nearest=argmin|line−requested|; accepted if distance≤maximum

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

Output fieldMeaningValue type
nearestLineNanometersNearest available line (nm)number
detuningNanometersAbsolute detuning (nm)number; minimum: 0
withinToleranceWithin detuning toleranceboolean
json
{
  "input": {
    "requestedWavelengthNanometers": 520,
    "availableLinesNanometers": [
      500,
      522,
      600
    ],
    "maximumDetuningNanometers": 3
  },
  "output": {
    "nearestLineNanometers": 522,
    "detuningNanometers": 2,
    "withinTolerance": true
  }
}

Limitations and assumptions

No built-in spectral line catalog, positivity check or gain suitability is provided.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. 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 He–Cd Line Selector: Select the nearer common He–Cd line to a requested wavelength. For a complementary task, use Wavelength-Lock Selector: Select an absorption-cell, etalon, or hybrid wavelength lock from supplied requirements.

References

  1. Praseodymium Line Match — tool.io

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