Semiconductor Directional Coupler Coupling Length Calculator
Ideal identical lossless two-waveguide complete-transfer coupling length π/|βeven−βodd|from independently established supermode propagation constants. No asymmetry, loss, dispersion or geometric coupling inference.
Description
Even and odd supermode propagation constants determine an ideal complete-transfer length.
Even and odd supermode propagation constants determine an ideal complete-transfer length.1
The constants must share compatible inverse-length units and a valid coupled-mode convention.
When to use Semiconductor Directional Coupler Coupling Length Calculator
Use this tool to obtain conditionalCompleteTransferLengthMeters from the supplied records using the stated calculation. Establish the device or material, operating point, units and independently applicable measurement or model calibration.
How to use Semiconductor Directional Coupler Coupling Length Calculator and understand its results
- Establish the device or material, operating point, units and independently applicable measurement or model calibration.
- Enter independentlyEstablishedEvenModePropagationConstantPerMeter, independentlyEstablishedOddModePropagationConstantPerMeter, using the field meanings and rules below, then run the tool.
- Read result.conditionalCompleteTransferLengthMeters. Use the units and sign conventions below, and review any unknown records separately.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| independentlyEstablishedEvenModePropagationConstantPerMeter | Independently established even mode propagation constant per meter | number | Required |
| independentlyEstablishedOddModePropagationConstantPerMeter | Independently established odd mode propagation constant per meter | number | Required |
Require positive even/odd supermode propagation constants in compatible inverse-metre units. Their absolute difference must be strictly positive. Divide pi by that difference for ideal complete-transfer length in metres. The supplied mode convention must match this formula; no wavelength or field solver is used.
completeTransferLengthMeters=pi/abs(betaEven−betaOdd) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Qualified observed calculation or explicit reference | object |
| result.conditionalCompleteTransferLengthMeters | Pi divided by absolute even-minus-odd supermode propagation-constant difference. | number |
{
"input": {
"independentlyEstablishedEvenModePropagationConstantPerMeter": 4,
"independentlyEstablishedOddModePropagationConstantPerMeter": 2
},
"output": {
"result": {
"conditionalCompleteTransferLengthMeters": 1.5707963267948966
}
}
}Limitations and assumptions
Device structure, material state, operating conditions and calibration determine applicability. The result does not infer missing physical parameters, verify a transport mechanism or validate a fabricated device model.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Extremely large composite outputs are rejected.
Alternative or Complementary methods
For a related step, use Semiconductor Mmi Splitter Excess Loss Calculator: MMI excess loss compares total measured output-port power with matched incident power. For a complementary comparison, use Semiconductor Edge Coupler Loss Vs Misalignment Calculator: Edge-coupling loss changes with alignment under a specified optical mode and geometry.
References
Similar or alternative tools
- Semiconductor Mmi Splitter Excess Loss Calculator
MMI excess loss compares total measured output-port power with matched incident power.
- Semiconductor Edge Coupler Loss Vs Misalignment Calculator
Edge-coupling loss changes with alignment under a specified optical mode and geometry.