Microdisk Q Threshold
Derive microdisk loaded Q and threshold material gain, then compare available gain.
Description
Microdisk loaded Q relates resonance wavelength to linewidth.
Microdisk loaded Q relates resonance wavelength to linewidth. A confinement-scaled gain threshold then supplies a comparison with available material gain.1
Derive microdisk loaded Q and threshold material gain, then compare available gain.
When to use Microdisk Q Threshold
Use this tool to derive microdisk loaded Q and threshold material gain, then compare available gain.
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 Microdisk Q Threshold 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 resonanceWavelengthMeters, linewidthMeters, groupIndex, confinementFactor, availableMaterialGainPerMeter using the field table and calculation rules, then run the tool.
- Read qualityFactor, thresholdMaterialGainPerMeter, aboveThreshold. 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 |
|---|---|---|---|
| resonanceWavelengthMeters | Resonance wavelength (m) | number; minimum: 0 | Required |
| linewidthMeters | Resonance linewidth (m) | number; minimum: 0 | Required |
| groupIndex | Group index | number; minimum: 0 | Required |
| confinementFactor | Modal confinement factor | number; minimum: 0; maximum: 1 | Required |
| availableMaterialGainPerMeter | Available material gain (1/m) | number; minimum: 0 | Required |
Enter positive wavelength, linewidth, group index and confinement≤1 with nonnegative available gain. Return Q, threshold and inclusive available≥threshold flag.
Q=λ/linewidth; threshold=2πgroupIndex/(Qλconfinement) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| qualityFactor | Loaded quality factor | number; minimum: 0 |
| thresholdMaterialGainPerMeter | Threshold material gain (1/m) | number; minimum: 0 |
| aboveThreshold | Available gain exceeds threshold | boolean |
{
"input": {
"resonanceWavelengthMeters": 0.000001,
"linewidthMeters": 1e-10,
"groupIndex": 2,
"confinementFactor": 0.5,
"availableMaterialGainPerMeter": 3000
},
"output": {
"qualityFactor": 10000,
"thresholdMaterialGainPerMeter": 2513.2741228718346,
"aboveThreshold": true
}
}Limitations and assumptions
Linewidth and gain basis must be consistent. No cavity coupling, mode solving or lasing verification is supplied.
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 Rare-Gas Pump Threshold: Compare absorbed pump power with a supplied rare-gas laser threshold.
References
-
Microdisk Q Threshold — tool.io
Similar or alternative tools
- Fabry-Pérot Linewidth
Calculate Fabry–Pérot free spectral range and linewidth from cavity length, index, and finesse.
- Rare-Gas Pump Threshold
Compare absorbed pump power with a supplied rare-gas laser threshold.