Semiconductor Silicon Photonics Phase Shifter Vpi Calculator
Extract actual unwrapped silicon phase-shifter Vpi and VpiL from multi-point voltage/phase, not forward voltage×length product or fabricated electro-optic coefficient.
Description
A phase-shifter Vπ is the voltage change associated with a π phase change on a chosen linear branch.
A phase-shifter Vπ is the voltage change associated with a π phase change on a chosen linear branch.1
Measured unwrapped phase data can estimate Vπ and its interaction-length product.
When to use Semiconductor Silicon Photonics Phase Shifter Vpi Calculator
Use this tool when you need to reproduce the stated calculation from measured records or independently selected model inputs. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
How to use Semiconductor Silicon Photonics Phase Shifter Vpi Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedPhaseShifterVoltages, observedUnwrappedPhaseRadians, observedInteractionLengthM, following the field table and rules below, then run the tool.
- Read extractedLinearVpiVolts, extractedVpiLengthVoltMeters, phaseFitRSquared. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
- Correct reported input issues and run again. For a successful result, check the stated evidence coverage and assumptions before using it in your review.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedPhaseShifterVoltages | Observed phase shifter voltages | list of number | Required |
| observedUnwrappedPhaseRadians | Observed unwrapped phase radians | list of number | Required |
| observedInteractionLengthM | Observed interaction length m | number | Required |
Use at least two aligned voltage and unwrapped phase-radian observations with distinct voltage coordinates and positive length in metres. Fit phase versus voltage and reject zero slope. Divide π by absolute slope; multiply by length for VπL and return R².
Vπ=π/|OLSslope(voltage,phase)|; VπL=Vπ×length Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| extractedLinearVpiVolts | Extracted linear vpi volts | number |
| extractedVpiLengthVoltMeters | Extracted vpi length volt meters | number |
| phaseFitRSquared | Phase fit R² | number |
{
"input": {
"observedPhaseShifterVoltages": [
0,
1,
2
],
"observedUnwrappedPhaseRadians": [
0,
1.5707963267948966,
3.141592653589793
],
"observedInteractionLengthM": 0.01
},
"output": {
"extractedLinearVpiVolts": 2,
"extractedVpiLengthVoltMeters": 0.02,
"phaseFitRSquared": 1
}
}Limitations and assumptions
Matched measurement branch, material state, calibration, and conventions must be independently established. Results do not certify device performance or operating conditions.
Missing required fields, unknown fields, wrong types, and violated calculation rules are input issues. Numeric values must be finite; nonfinite results are rejected. Evidence arrays must be dense, with no missing cells. Numeric observation lists allow at most 10,000 entries, subject to any smaller bounds stated above.
Alternative or Complementary methods
For a related review, use Semiconductor Silicon Photonics Mach Zehnder Extinction Ratio Calculator: An extinction ratio should account for independently measured detector background. Subtracting the same background from bright and dark observations makes that basis explicit. For a complementary step, use Semiconductor Silicon Photonics Ring Resonator Free Spectral Range Calculator: Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings. The reciprocal wavelength conversion preserves changing frequency spacing across the measured spectrum.
References
Similar or alternative tools
- Semiconductor Silicon Photonics Mach Zehnder Extinction Ratio Calculator
An extinction ratio should account for independently measured detector background. Subtracting the same background from bright and dark observations makes that basis explicit.
- Semiconductor Silicon Photonics Ring Resonator Free Spectral Range Calculator
Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings. The reciprocal wavelength conversion preserves changing frequency spacing across the measured spectrum.