Comb–Cavity Tooth Match
Match a cavity resonance to the nearest frequency-comb tooth.
Description
Comb-tooth matching rounds a cavity frequency to the nearest offset-plus-integer-spacing tooth.
Comb-tooth matching rounds a cavity frequency to the nearest offset-plus-integer-spacing tooth. A half-linewidth interval supplies the inclusive match gate.1
Match a cavity resonance to the nearest frequency-comb tooth.
When to use Comb–Cavity Tooth Match
Use this tool to match a cavity resonance to the nearest frequency-comb tooth.
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 Comb–Cavity Tooth Match 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 cavityFrequencyHertz, combOffsetHertz, combRepetitionHertz, cavityLinewidthHertz using the field table and calculation rules, then run the tool.
- Read nearestToothIndex, nearestToothFrequencyHertz, detuningHertz, withinHalfLinewidth. 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 |
|---|---|---|---|
| cavityFrequencyHertz | Cavity resonance frequency (Hz) | number; minimum: 0 | Required |
| combOffsetHertz | Comb offset frequency (Hz) | number; minimum: 0 | Required |
| combRepetitionHertz | Comb repetition rate (Hz) | number; minimum: 0 | Required |
| cavityLinewidthHertz | Cavity linewidth (Hz) | number; minimum: 0 | Required |
Enter nonnegative cavity frequency/offset/linewidth and positive repetition Hz. Return index, tooth frequency, signed detuning and inclusive absolute-detuning gate.
index=round((cavity−offset)/rate); tooth=offset+index×rate; detuning=tooth−cavity Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| nearestToothIndex | Nearest comb-tooth index | integer |
| nearestToothFrequencyHertz | Nearest tooth frequency (Hz) | number; minimum: 0 |
| detuningHertz | Signed tooth detuning (Hz) | number |
| withinHalfLinewidth | Within half-linewidth | boolean |
{
"input": {
"cavityFrequencyHertz": 1010,
"combOffsetHertz": 10,
"combRepetitionHertz": 100,
"cavityLinewidthHertz": 20
},
"output": {
"nearestToothIndex": 10,
"nearestToothFrequencyHertz": 1010,
"detuningHertz": 0,
"withinHalfLinewidth": true
}
}Limitations and assumptions
Negative tooth indexes are accepted, but a computed negative tooth frequency fails the output contract. JavaScript rounding determines half-step ties; no dispersion or mode assignment is fitted.
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 Fabry-Pérot Linewidth: Calculate Fabry–Pérot free spectral range and linewidth from cavity length, index, and finesse. For a complementary task, use Comb Spacing Lock: Summarize gain-switched comb spacing lock error.
References
-
Comb–Cavity Tooth Match — tool.io
Similar or alternative tools
- Fabry-Pérot Linewidth
Calculate Fabry–Pérot free spectral range and linewidth from cavity length, index, and finesse.
- Comb Spacing Lock
Summarize gain-switched comb spacing lock error.