Nonlinear Length
Calculate nonlinear length and accumulated self-phase modulation.
Description
Nonlinear length is the distance associated with one radian of self-phase modulation under constant peak power.
Nonlinear length is the distance associated with one radian of self-phase modulation under constant peak power. Accumulated phase scales with propagation length.1
Calculate nonlinear length and accumulated self-phase modulation.
When to use Nonlinear Length
Use this tool to calculate nonlinear length and accumulated self-phase modulation.
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 Nonlinear Length 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 nonlinearCoefficientPerWattMeter, peakPowerWatts, propagationLengthMeters using the field table and calculation rules, then run the tool.
- Read nonlinearLengthMeters, nonlinearPhaseRadians. 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 |
|---|---|---|---|
| nonlinearCoefficientPerWattMeter | Nonlinear coefficient (1/(W·m)) | number; minimum: 0 | Required |
| peakPowerWatts | Peak power (W) | number; minimum: 0 | Required |
| propagationLengthMeters | Propagation length (m) | number; minimum: 0 | Required |
Enter positive nonlinear coefficient and peak power and nonnegative length. Return meters and radians.
Lnl=1/(γP); phase=γPL Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| nonlinearLengthMeters | Nonlinear length (m) | number; minimum: 0 |
| nonlinearPhaseRadians | Nonlinear phase (rad) | number; minimum: 0 |
{
"input": {
"nonlinearCoefficientPerWattMeter": 2,
"peakPowerWatts": 10,
"propagationLengthMeters": 0.1
},
"output": {
"nonlinearLengthMeters": 0.05,
"nonlinearPhaseRadians": 2
}
}Limitations and assumptions
No loss, dispersion or temporal power evolution is integrated.
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 XPM Phase Shift: Calculate cross-phase index change and nonlinear phase shift. For a complementary task, use Raman Soliton Shift: Estimate a Raman soliton self-frequency wavelength shift from a supplied scaling coefficient.
References
-
Nonlinear Length — tool.io
Similar or alternative tools
- XPM Phase Shift
Calculate cross-phase index change and nonlinear phase shift.
- Raman Soliton Shift
Estimate a Raman soliton self-frequency wavelength shift from a supplied scaling coefficient.