Semiconductor Pt Symmetric Threshold Gain Calculator
Ideal balanced PTthresholdγ=κusing independent linear pump-to-gain calibration, not the general EPmatrix, physical lasing threshold or real unbalanced device stability.
Description
An ideal PT-symmetric threshold relates calibrated coupling to gain-versus-pump slope.
An ideal PT-symmetric threshold relates calibrated coupling to gain-versus-pump slope.1
The transparent-pump coordinate sets the reference origin for this conditional model.
When to use Semiconductor Pt Symmetric Threshold Gain Calculator
Use this tool to obtain conditionalIdealPtThresholdPumpCoordinate 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 Pt Symmetric Threshold Gain Calculator and understand its results
- Establish the device or material, operating point, units and independently applicable measurement or model calibration.
- Enter independentlyCalibratedCouplingFrequency, independentlyCalibratedGainSlopePerPumpUnit, callerIndependentTransparentPumpCoordinate, using the field meanings and rules below, then run the tool.
- Read result.conditionalIdealPtThresholdPumpCoordinate. 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 |
|---|---|---|---|
| independentlyCalibratedCouplingFrequency | Independently calibrated coupling frequency | number | Required |
| independentlyCalibratedGainSlopePerPumpUnit | Independently calibrated gain slope per pump unit | number | Required |
| callerIndependentTransparentPumpCoordinate | Caller independent transparent pump coordinate | number | Required |
Require nonnegative calibrated coupling frequency, positive gain slope on a compatible frequency-per-pump basis and a finite transparent-pump coordinate. Add coupling divided by slope to the transparent coordinate. The reference coordinate may be signed; no calibration or generalized PT stability calculation is performed.
thresholdPumpCoordinate=transparentPumpCoordinate+couplingFrequency/gainSlopePerPumpUnit 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.conditionalIdealPtThresholdPumpCoordinate | Transparent-pump reference coordinate plus calibrated coupling divided by gain slope. | number |
{
"input": {
"independentlyCalibratedCouplingFrequency": 2,
"independentlyCalibratedGainSlopePerPumpUnit": 4,
"callerIndependentTransparentPumpCoordinate": 1
},
"output": {
"result": {
"conditionalIdealPtThresholdPumpCoordinate": 1.5
}
}
}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 Non Hermitian Exceptional Point Calculator: An ideal balanced two-mode model compares coupling with gain/loss magnitude. For a complementary comparison, use Semiconductor Plasmonic Resonator Quality Factor Vs Confinement Calculator: Plasmonic confinement and resonator quality factor describe different aspects of an optical mode.
References
Similar or alternative tools
- Semiconductor Non Hermitian Exceptional Point Calculator
An ideal balanced two-mode model compares coupling with gain/loss magnitude.
- Semiconductor Plasmonic Resonator Quality Factor Vs Confinement Calculator
Plasmonic confinement and resonator quality factor describe different aspects of an optical mode.