Harmonic Mode-Locking Rate

Calculate harmonic mode-locking pulse rate and spacing.

Description

Harmonic mode locking multiplies a fundamental repetition rate by an integer order.

Harmonic mode locking multiplies a fundamental repetition rate by an integer order. Pulse spacing is the reciprocal of the resulting rate.1

Calculate harmonic mode-locking pulse rate and spacing.

When to use Harmonic Mode-Locking Rate

Use this tool to calculate harmonic mode-locking pulse rate and spacing.

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 Harmonic Mode-Locking Rate 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 fundamentalRepetitionRateHertz, harmonicOrder using the field table and calculation rules, then run the tool.
  3. Read harmonicRepetitionRateHertz, pulseSpacingSeconds, pulsesPerFundamentalRoundTrip. 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
fundamentalRepetitionRateHertzFundamental repetition rate (Hz)number; minimum: 0Required
harmonicOrderHarmonic orderinteger; minimum: 1Required

Enter positive fundamental Hz and positive integer harmonic order. Return harmonic Hz, seconds and pulses per fundamental round trip.

rate=fundamental×order; spacing=1/rate

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

Output fieldMeaningValue type
harmonicRepetitionRateHertzHarmonic repetition rate (Hz)number; minimum: 0
pulseSpacingSecondsHarmonic pulse spacing (s)number; minimum: 0
pulsesPerFundamentalRoundTripPulses per fundamental round tripinteger; minimum: 1
json
{
  "input": {
    "fundamentalRepetitionRateHertz": 1000000,
    "harmonicOrder": 10
  },
  "output": {
    "harmonicRepetitionRateHertz": 10000000,
    "pulseSpacingSeconds": 1e-7,
    "pulsesPerFundamentalRoundTrip": 10
  }
}

Limitations and assumptions

No pulse stability, cavity dynamics or actual harmonic locking is verified.

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 Longitudinal Mode Count: Calculate cavity free spectral range and longitudinal modes within a gain bandwidth. For a complementary task, use Noise-Like Pulse Duty Factor: Calculate noise-like burst duty factor, burst energy, and in-burst average power.

References

  1. Harmonic Mode-Locking Rate — tool.io

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