Supercontinuum Octave Span

Measure supercontinuum spectral span in frequency octaves.

Description

A frequency octave corresponds to a factor of two in frequency.

A frequency octave corresponds to a factor of two in frequency. For wavelength endpoints, the reciprocal relation produces the maximum-to-minimum wavelength ratio.1

Measure supercontinuum spectral span in frequency octaves.

When to use Supercontinuum Octave Span

Use this tool to measure supercontinuum spectral span in frequency octaves.

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 Supercontinuum Octave Span 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 minimumWavelengthNanometers, maximumWavelengthNanometers using the field table and calculation rules, then run the tool.
  3. Read frequencyOctaves, wavelengthRatio, octaveSpanning. 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
minimumWavelengthNanometersMinimum continuum wavelength (nm)number; minimum: 0Required
maximumWavelengthNanometersMaximum continuum wavelength (nm)number; minimum: 0Required

Enter positive minimum wavelength and maximum at least minimum in nm. Return ratio, octave span and inclusive span≥1 flag. Equal endpoints give zero span.

octaves=log2(λmax/λmin)

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

Output fieldMeaningValue type
frequencyOctavesFrequency span (octaves)number; minimum: 0
wavelengthRatioMaximum-to-minimum wavelength rationumber; minimum: 1
octaveSpanningSpans at least one octaveboolean
json
{
  "input": {
    "minimumWavelengthNanometers": 500,
    "maximumWavelengthNanometers": 1000
  },
  "output": {
    "frequencyOctaves": 1,
    "wavelengthRatio": 2,
    "octaveSpanning": true
  }
}

Limitations and assumptions

No spectral continuity, usable intensity or coherence is assessed.

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 THz Waveform Spectrum: Compute a direct discrete magnitude spectrum from a THz time-domain waveform. For a complementary task, use NOPA Bandwidth Overlap: Calculate spectral overlap between a NOPA seed and gain window.

References

  1. Supercontinuum Octave Span — tool.io

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