Semiconductor Silicon Photonics Grating Coupler Efficiency Vs Angle Calculator
Read actual same-wavelength grating angle/coupling calibration, distinct from path-corrected power yield and no guessed optimum angle. Independently matched measured piecewise-linear curve only, local slope retained; no extrapolation, invented material constants, process recipe or safety claim.
Description
Grating-coupler angle response belongs to matched wavelength and measurement conditions.
Grating-coupler angle response belongs to matched wavelength and measurement conditions.1
This tool interpolates that observed response without choosing an optimum angle.
When to use Semiconductor Silicon Photonics Grating Coupler Efficiency Vs Angle Calculator
Use this tool when you need to read an in-range response and slope from a matched calibration. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
How to use Semiconductor Silicon Photonics Grating Coupler Efficiency Vs Angle Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedGratingIncidentAngleDeg, observedMatchedCouplingFraction, queryIncidentAngleDeg, following the field table and rules below, then run the tool.
- Read interpolatedAngleMatchedCouplingFraction, localMeasuredResponseDerivative. 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 |
|---|---|---|---|
| observedGratingIncidentAngleDeg | Observed grating incident angle deg | list of number | Required |
| observedMatchedCouplingFraction | Observed matched coupling fraction | list of number | Required |
| queryIncidentAngleDeg | Query incident angle deg | number | Required |
Use at least two aligned measured coordinate and response pairs with coordinates strictly increasing. Enter a query within the closed measured coordinate interval. Interpolate linearly between bracketing samples and report that segment’s response-per-coordinate slope. An exact knot returns its measured response; slope uses the segment to the right, except the final knot uses the last segment. Values outside the observed interval are rejected, not extrapolated.
t=(q−x_i)/(x_(i+1)−x_i); response=(1−t)y_i+ty_(i+1); slope=(y_(i+1)−y_i)/(x_(i+1)−x_i) Symbols follow the input and output meanings and the calculation rules above.
Coupling responses must be fractions from zero to one.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedAngleMatchedCouplingFraction | Interpolated angle matched coupling fraction | number |
| localMeasuredResponseDerivative | Local measured response derivative | number |
{
"input": {
"observedGratingIncidentAngleDeg": [
1,
2,
3
],
"observedMatchedCouplingFraction": [
0.2,
0.4,
0.8
],
"queryIncidentAngleDeg": 2.5
},
"output": {
"interpolatedAngleMatchedCouplingFraction": 0.6000000000000001,
"localMeasuredResponseDerivative": 0.4
}
}Limitations and assumptions
The response and slope belong to the supplied matched branch. No universal material constants, live measurement, confidence interval, or prediction beyond the observed range is provided.
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 Grating Coupler Efficiency Calculator: Measured grating coupling includes the remaining optical path’s transmission. Reporting raw and path-corrected ratios makes that independent correction visible. For a complementary step, use Semiconductor Silicon Photonics Waveguide Bending Loss Calculator: Excess bend loss compares a bent guide with a matched straight reference. Dividing the logarithmic power difference by the observed bend count yields a per-bend observation.
References
Similar or alternative tools
- Semiconductor Silicon Photonics Grating Coupler Efficiency Calculator
Measured grating coupling includes the remaining optical path’s transmission. Reporting raw and path-corrected ratios makes that independent correction visible.
- Semiconductor Silicon Photonics Waveguide Bending Loss Calculator
Excess bend loss compares a bent guide with a matched straight reference. Dividing the logarithmic power difference by the observed bend count yields a per-bend observation.