Relaxation-Oscillation Frequency
Estimate relaxation-oscillation frequency from normalized drive and photon and carrier lifetimes.
Description
A relaxation-oscillation estimate combines normalized above-threshold drive with photon and carrier lifetimes.
A relaxation-oscillation estimate combines normalized above-threshold drive with photon and carrier lifetimes. The modeled frequency vanishes at threshold.1
Estimate relaxation-oscillation frequency from normalized drive and photon and carrier lifetimes.
When to use Relaxation-Oscillation Frequency
Use this tool to estimate relaxation-oscillation frequency from normalized drive and photon and carrier lifetimes.
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 Relaxation-Oscillation 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 driveToThresholdRatio, photonLifetimeSeconds, carrierLifetimeSeconds using the field table and calculation rules, then run the tool.
- Read frequencyHertz. 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 |
|---|---|---|---|
| driveToThresholdRatio | Drive-to-threshold ratio | number; minimum: 0 | Required |
| photonLifetimeSeconds | Photon lifetime (s) | number; minimum: 0 | Required |
| carrierLifetimeSeconds | Carrier lifetime (s) | number; minimum: 0 | Required |
Enter drive ratio≥1 and positive lifetimes in seconds. Return Hz.
f=sqrt((driveRatio−1)/(4π² photonLifetime carrierLifetime)) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| frequencyHertz | Relaxation-oscillation frequency (Hz) | number; minimum: 0 |
{
"input": {
"driveToThresholdRatio": 2,
"photonLifetimeSeconds": 1e-12,
"carrierLifetimeSeconds": 1e-9
},
"output": {
"frequencyHertz": 5032921210.448704
}
}Limitations and assumptions
No damping, nonlinear modulation, noise or device-rate-equation fitting is included.
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 Rare-Gas Pump Threshold: Compare absorbed pump power with a supplied rare-gas laser threshold. For a complementary task, use Henry Alpha: Estimate the Henry linewidth-enhancement factor from wavelength and modal-gain changes.
References
-
Relaxation-Oscillation Frequency — tool.io
Similar or alternative tools
- Rare-Gas Pump Threshold
Compare absorbed pump power with a supplied rare-gas laser threshold.
- Henry Alpha
Estimate the Henry linewidth-enhancement factor from wavelength and modal-gain changes.