Henry Alpha

Estimate the Henry linewidth-enhancement factor from wavelength and modal-gain changes.

Description

A linewidth-enhancement-factor estimate relates wavelength change to modal gain change with a fixed sign convention.

A linewidth-enhancement-factor estimate relates wavelength change to modal gain change with a fixed sign convention. Both changes must refer to the intended common perturbation.1

Estimate the Henry linewidth-enhancement factor from wavelength and modal-gain changes.

When to use Henry Alpha

Use this tool to estimate the Henry linewidth-enhancement factor from wavelength and modal-gain changes.

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 Henry Alpha 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 centerWavelengthMeters, wavelengthChangeMeters, modalGainChangePerMeter using the field table and calculation rules, then run the tool.
  3. Read wavelengthGainSlopeM2, linewidthEnhancementFactor. 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
centerWavelengthMetersCenter wavelength (m)number; minimum: 0Required
wavelengthChangeMetersWavelength change (m)numberRequired
modalGainChangePerMeterModal gain change (1/m)numberRequired

Enter positive center wavelength and finite signed changes with nonzero gain change. Return slope in m² and alpha.

slope=Δλ/Δgain; alpha=−4πslope/λcenter²

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

Output fieldMeaningValue type
wavelengthGainSlopeM2Wavelength-to-gain slope (m²)number
linewidthEnhancementFactorHenry alpha factornumber
json
{
  "input": {
    "centerWavelengthMeters": 2,
    "wavelengthChangeMeters": -1,
    "modalGainChangePerMeter": 3.141592653589793
  },
  "output": {
    "wavelengthGainSlopeM2": -0.3183098861837907,
    "linewidthEnhancementFactor": 1
  }
}

Limitations and assumptions

No carrier-density fit, device calibration or linewidth calculation 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 MZM Chirp: Estimate Mach–Zehnder modulator chirp from phase and power modulation. For a complementary task, use Relaxation-Oscillation Frequency: Estimate relaxation-oscillation frequency from normalized drive and photon and carrier lifetimes.

References

  1. Henry Alpha — tool.io

Similar or alternative tools

  • MZM Chirp

    Estimate Mach–Zehnder modulator chirp from phase and power modulation.

  • Relaxation-Oscillation Frequency

    Estimate relaxation-oscillation frequency from normalized drive and photon and carrier lifetimes.

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