Dual-Comb Time Magnification
Calculate dual-comb asynchronous sampling period and time magnification.
Description
Dual-comb asynchronous sampling repeats at the difference between repetition rates.
Dual-comb asynchronous sampling repeats at the difference between repetition rates. Time magnification uses the first comb rate as its numerator.1
Calculate dual-comb asynchronous sampling period and time magnification.
When to use Dual-Comb Time Magnification
Use this tool to calculate dual-comb asynchronous sampling period and time magnification.
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 Dual-Comb Time Magnification 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 firstRepetitionRateHertz, secondRepetitionRateHertz using the field table and calculation rules, then run the tool.
- Read differenceRateHertz, interferogramPeriodSeconds, timeMagnification. 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 |
|---|---|---|---|
| firstRepetitionRateHertz | First comb repetition rate (Hz) | number; minimum: 0 | Required |
| secondRepetitionRateHertz | Second comb repetition rate (Hz) | number; minimum: 0 | Required |
Enter nonnegative unequal rates. Return difference Hz, period seconds and magnification. A zero first rate is accepted and gives zero magnification.
difference=|f1−f2|; period=1/difference; magnification=f1/difference Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| differenceRateHertz | Repetition-rate difference (Hz) | number; minimum: 0 |
| interferogramPeriodSeconds | Interferogram period (s) | number; minimum: 0 |
| timeMagnification | Asynchronous time magnification | number; minimum: 0 |
{
"input": {
"firstRepetitionRateHertz": 100000000,
"secondRepetitionRateHertz": 99999000
},
"output": {
"differenceRateHertz": 1000,
"interferogramPeriodSeconds": 0.001,
"timeMagnification": 100000
}
}Limitations and assumptions
Physical comb rates should be positive. No bandwidth, phase coherence or aliasing limit is assessed.
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 Comb-Ranging Ambiguity: Calculate one-way frequency-comb ranging ambiguity distance. For a complementary task, use Comb Spacing Lock: Summarize gain-switched comb spacing lock error.
References
-
Dual-Comb Time Magnification — tool.io
Similar or alternative tools
- Comb-Ranging Ambiguity
Calculate one-way frequency-comb ranging ambiguity distance.
- Comb Spacing Lock
Summarize gain-switched comb spacing lock error.