FWM Idler Frequency
Calculate degenerate four-wave-mixing idler frequency and wavelength.
Description
Degenerate four-wave mixing assigns two pump photons to one signal and one idler.
Degenerate four-wave mixing assigns two pump photons to one signal and one idler. Frequency conservation determines idler wavelength.1
Calculate degenerate four-wave-mixing idler frequency and wavelength.
When to use FWM Idler Frequency
Use this tool to calculate degenerate four-wave-mixing idler frequency and wavelength.
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 FWM Idler Frequency 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 pumpFrequencyTerahertz, signalFrequencyTerahertz using the field table and calculation rules, then run the tool.
- Read idlerFrequencyTerahertz, idlerWavelengthMicrometers. 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 |
|---|---|---|---|
| pumpFrequencyTerahertz | Degenerate pump frequency (THz) | number; minimum: 0 | Required |
| signalFrequencyTerahertz | Signal frequency (THz) | number; minimum: 0 | Required |
Enter nonnegative pump/signal frequencies with strictly positive resulting idler. Return THz and µm.
idlerTHz=2pumpTHz−signalTHz; wavelength_µm=299.792458/idlerTHz Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| idlerFrequencyTerahertz | Idler frequency (THz) | number; minimum: 0 |
| idlerWavelengthMicrometers | Idler vacuum wavelength (µm) | number; minimum: 0 |
{
"input": {
"pumpFrequencyTerahertz": 200,
"signalFrequencyTerahertz": 100
},
"output": {
"idlerFrequencyTerahertz": 300,
"idlerWavelengthMicrometers": 0.9993081933333333
}
}Limitations and assumptions
No phase matching, conversion power or pump depletion is calculated. Zero or negative idler is an input error.
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 Frequency-Mixing Wavelength: Calculate sum- or difference-frequency output from two input wavelengths. For a complementary task, use OPO Idler Wavelength: Calculate OPO idler wavelength from pump and signal energy conservation.
References
-
FWM Idler Frequency — tool.io
Similar or alternative tools
- Frequency-Mixing Wavelength
Calculate sum- or difference-frequency output from two input wavelengths.
- OPO Idler Wavelength
Calculate OPO idler wavelength from pump and signal energy conservation.