GDD Ripple
Summarize dispersive-mirror group-delay-dispersion ripple.
Description
GDD ripple summarizes variation around the mean of supplied group-delay-dispersion samples.
GDD ripple summarizes variation around the mean of supplied group-delay-dispersion samples. Population RMS and peak-to-peak width capture different features.1
Summarize dispersive-mirror group-delay-dispersion ripple.
When to use GDD Ripple
Use this tool to summarize dispersive-mirror group-delay-dispersion ripple.
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 GDD Ripple and understand its results
- 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.
- Enter gddSamplesFs2 using the field table and calculation rules, then run the tool.
- Read meanGddFs2, peakToPeakRippleFs2, rmsRippleFs2. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- 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 field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| gddSamplesFs2 | GDD samples (fs²) | list of number | Required |
Enter nonempty finite signed fs² samples. Return mean, span and RMS; one sample gives zero ripple.
mean=ΣGDD/n; RMS=sqrt(Σ(GDD−mean)²/n); span=max−min Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| meanGddFs2 | Mean GDD (fs²) | number |
| peakToPeakRippleFs2 | Peak-to-peak ripple (fs²) | number; minimum: 0 |
| rmsRippleFs2 | RMS ripple (fs²) | number; minimum: 0 |
{
"input": {
"gddSamplesFs2": [
-1,
1
]
},
"output": {
"meanGddFs2": 0,
"peakToPeakRippleFs2": 2,
"rmsRippleFs2": 1
}
}Limitations and assumptions
No spectrum sampling, wavelength weighting or mirror-stack model is supplied.
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.
Alternative or Complementary methods
Use Net Dispersion: Sum segment dispersion-length products and report the net dispersion sign. For a complementary task, use Dispersion-Map Strength: Calculate net, absolute, and pulse-width-normalized dispersion-map strength.
References
-
GDD Ripple — tool.io
Similar or alternative tools
- Net Dispersion
Sum segment dispersion-length products and report the net dispersion sign.
- Dispersion-Map Strength
Calculate net, absolute, and pulse-width-normalized dispersion-map strength.