Third-Harmonic Output

Estimate cubic third-harmonic output and cap it at input power.

Description

An undepleted third-harmonic estimate scales with the cube of fundamental power.

An undepleted third-harmonic estimate scales with the cube of fundamental power. A hard input-power cap provides a separate energy-limited estimate.1

Estimate cubic third-harmonic output and cap it at input power.

When to use Third-Harmonic Output

Use this tool to estimate cubic third-harmonic output and cap it at input power.

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 Third-Harmonic Output 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 fundamentalPowerWatts, cubicConversionCoefficientPerW2 using the field table and calculation rules, then run the tool.
  3. Read undepletedThirdHarmonicWatts, energyLimitedThirdHarmonicWatts. 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
fundamentalPowerWattsFundamental power (W)number; minimum: 0Required
cubicConversionCoefficientPerW2Cubic conversion coefficient (1/W²)number; minimum: 0Required

Enter nonnegative power and coefficient in W⁻². Return both powers.

uncapped=C P³; capped=min(uncapped,P)

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

Output fieldMeaningValue type
undepletedThirdHarmonicWattsUndepleted third-harmonic estimate (W)number; minimum: 0
energyLimitedThirdHarmonicWattsEnergy-limited third-harmonic output (W)number; minimum: 0
json
{
  "input": {
    "fundamentalPowerWatts": 10,
    "cubicConversionCoefficientPerW2": 0.001
  },
  "output": {
    "undepletedThirdHarmonicWatts": 1,
    "energyLimitedThirdHarmonicWatts": 1
  }
}

Limitations and assumptions

The cap is not a pump-depletion solution. Phase matching, losses and pulse shape are absent.

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 VECSEL Frequency Doubling: Calculate externally frequency-doubled VECSEL power, wavelength, and residual fundamental power. For a complementary task, use SHG Phase Match: Calculate SHG-style phase mismatch, coherence length, and normalized conversion efficiency.

References

  1. Third-Harmonic Output — tool.io

Similar or alternative tools

  • VECSEL Frequency Doubling

    Calculate externally frequency-doubled VECSEL power, wavelength, and residual fundamental power.

  • SHG Phase Match

    Calculate SHG-style phase mismatch, coherence length, and normalized conversion efficiency.

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