Sagnac Phase Shift
Calculate ideal ring-laser Sagnac phase shift from enclosed area, rotation rate, and wavelength.
Description
An ideal Sagnac phase model relates rotation to enclosed area and optical wavelength.
An ideal Sagnac phase model relates rotation to enclosed area and optical wavelength. Rotation sign determines phase sign.1
Calculate ideal ring-laser Sagnac phase shift from enclosed area, rotation rate, and wavelength.
When to use Sagnac Phase Shift
Use this tool to calculate ideal ring-laser Sagnac phase shift from enclosed area, rotation rate, and wavelength.
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 Sagnac Phase Shift 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 enclosedAreaSquareMeters, rotationRateRadiansPerSecond, wavelengthMeters using the field table and calculation rules, then run the tool.
- Read sagnacPhaseRadians. 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 |
|---|---|---|---|
| enclosedAreaSquareMeters | Enclosed area (m²) | number; minimum: 0 | Required |
| rotationRateRadiansPerSecond | Rotation rate (rad/s) | number | Required |
| wavelengthMeters | Wavelength (m) | number; minimum: 0 | Required |
Enter nonnegative area, finite signed rotation and positive wavelength using SI units. Return radians with c=299792458 m/s.
phase=8π area×rotation/(λc) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| sagnacPhaseRadians | Sagnac phase shift (rad) | number |
{
"input": {
"enclosedAreaSquareMeters": 1,
"rotationRateRadiansPerSecond": 0.01,
"wavelengthMeters": 6.328e-7
},
"output": {
"sagnacPhaseRadians": 0.0013248072199441732
}
}Limitations and assumptions
No ring orientation projection, lock-in, scale-factor drift or gyro calibration 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 Vibrometer Displacement: Convert interferometric fringe count to out-of-plane vibrometer displacement. For a complementary task, use Ring Isolation Ratio: Calculate forward/reverse isolation in a unidirectional ring cavity.
References
-
Sagnac Phase Shift — tool.io
Similar or alternative tools
- Vibrometer Displacement
Convert interferometric fringe count to out-of-plane vibrometer displacement.
- Ring Isolation Ratio
Calculate forward/reverse isolation in a unidirectional ring cavity.