Cavity Path Enhancement
Calculate geometric cavity path enhancement from effective reflectivity.
Description
Repeated passages through a lossy cavity form a geometric enhancement model.
Repeated passages through a lossy cavity form a geometric enhancement model. Effective reflectivity sets the sum of surviving path contributions.1
Calculate geometric cavity path enhancement from effective reflectivity.
When to use Cavity Path Enhancement
Use this tool to calculate geometric cavity path enhancement from effective reflectivity.
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 Path Enhancement 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 effectiveReflectivity, physicalPathLengthMeters using the field table and calculation rules, then run the tool.
- Read pathEnhancementFactor, effectivePathLengthMeters. 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 |
|---|---|---|---|
| effectiveReflectivity | Effective cavity reflectivity | number; minimum: 0; maximum: 1 | Required |
| physicalPathLengthMeters | Physical path length (m) | number; minimum: 0 | Required |
Enter reflectivity from zero inclusive to one exclusive and nonnegative path meters. Return factor and effective meters.
enhancement=1/(1−R); effectivePath=physicalPath×enhancement Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| pathEnhancementFactor | Path enhancement factor | number; minimum: 1 |
| effectivePathLengthMeters | Effective path length (m) | number; minimum: 0 |
{
"input": {
"effectiveReflectivity": 0.99,
"physicalPathLengthMeters": 1
},
"output": {
"pathEnhancementFactor": 99.99999999999991,
"effectivePathLengthMeters": 99.99999999999991
}
}Limitations and assumptions
No cavity coupling, impedance matching, refractive index or resonance detuning is modeled.
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 Cavity Ring-Down Reflectivity: Extract effective round-trip reflectivity and loss from cavity ring-down time. For a complementary task, use Cavity Polarimetry Sensitivity: Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.
References
-
Cavity Path Enhancement — tool.io
Similar or alternative tools
- Cavity Ring-Down Reflectivity
Extract effective round-trip reflectivity and loss from cavity ring-down time.
- Cavity Polarimetry Sensitivity
Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.