Cavity Polarimetry Sensitivity
Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.
Description
Cavity-enhanced polarimetry amplifies a small rotation relative to a single-pass detector slope.
Cavity-enhanced polarimetry amplifies a small rotation relative to a single-pass detector slope. Finesse determines the modeled enhancement.1
Estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.
When to use Cavity Polarimetry Sensitivity
Use this tool to estimate cavity-enhanced polarimetry rotation sensitivity from finesse and detector noise.
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 Polarimetry Sensitivity 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 cavityFinesse, detectorNoiseVolts, rotationSlopeVoltsPerRadian using the field table and calculation rules, then run the tool.
- Read rotationEnhancementFactor, minimumDetectableRotationRadians. 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 |
|---|---|---|---|
| cavityFinesse | Cavity finesse | number; minimum: 0 | Required |
| detectorNoiseVolts | Detector RMS noise (V) | number; minimum: 0 | Required |
| rotationSlopeVoltsPerRadian | Polarimeter slope (V/rad) | number; minimum: 0 | Required |
Enter positive finesse and volts/radian slope with nonnegative detector-noise volts. Return enhancement and minimum rotation radians.
enhancement=2finesse/π; minimumRotation=noise/(slope×enhancement) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| rotationEnhancementFactor | Rotation enhancement factor | number; minimum: 0 |
| minimumDetectableRotationRadians | Minimum detectable rotation (rad) | number; minimum: 0 |
{
"input": {
"cavityFinesse": 1.5707963267948966,
"detectorNoiseVolts": 1,
"rotationSlopeVoltsPerRadian": 2
},
"output": {
"rotationEnhancementFactor": 1,
"minimumDetectableRotationRadians": 0.5
}
}Limitations and assumptions
No bandwidth, noise spectrum, cavity birefringence or significance criterion is derived.
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 Beat-Note Phase Noise: Calculate beat-note RMS phase noise and equivalent timing jitter.
References
-
Cavity Polarimetry Sensitivity — tool.io
Similar or alternative tools
- Cavity Ring-Down Reflectivity
Extract effective round-trip reflectivity and loss from cavity ring-down time.
- Beat-Note Phase Noise
Calculate beat-note RMS phase noise and equivalent timing jitter.