Cavity Stability
Calculate two-mirror cavity g parameters and geometric stability.
Description
Two-mirror cavity stability uses signed curvature radii to form geometry parameters.
Two-mirror cavity stability uses signed curvature radii to form geometry parameters. This implementation excludes both strict stability boundaries.1
Calculate two-mirror cavity g parameters and geometric stability.
When to use Cavity Stability
Use this tool to calculate two-mirror cavity g parameters and geometric stability.
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 Cavity Stability 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 cavityLengthMeters, firstMirrorRadiusMeters, secondMirrorRadiusMeters using the field table and calculation rules, then run the tool.
- Read firstGParameter, secondGParameter, stabilityProduct, stable. 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 |
|---|---|---|---|
| cavityLengthMeters | Mirror separation (m) | number; minimum: 0 | Required |
| firstMirrorRadiusMeters | First mirror radius (m) | number | Required |
| secondMirrorRadiusMeters | Second mirror radius (m) | number | Required |
Enter nonnegative cavity length and finite nonzero signed radii. Return both g values, stabilityProduct and strict flag. Zero length is accepted and yields product one and false.
g1=1−L/R1; g2=1−L/R2; stable if 0<g1g2<1 Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| firstGParameter | First cavity g parameter | number |
| secondGParameter | Second cavity g parameter | number |
| stabilityProduct | Cavity stability product | number |
| stable | Geometrically stable cavity | boolean |
{
"input": {
"cavityLengthMeters": 1,
"firstMirrorRadiusMeters": 2,
"secondMirrorRadiusMeters": 2
},
"output": {
"firstGParameter": 0.5,
"secondGParameter": 0.5,
"stabilityProduct": 0.25,
"stable": true
}
}Limitations and assumptions
Plane-mirror infinity cannot be entered. No mode size, astigmatism, thermal lens or marginal-boundary classification 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 Resonator Stability: Calculate two-mirror resonator g parameters and test the strict stability interval. For a complementary task, use Folded-Cavity Astigmatism: Quantify tangential/sagittal waist mismatch in a folded cavity.
References
-
Cavity Stability — tool.io
Similar or alternative tools
- Resonator Stability
Calculate two-mirror resonator g parameters and test the strict stability interval.
- Folded-Cavity Astigmatism
Quantify tangential/sagittal waist mismatch in a folded cavity.