Semiconductor Vcsel Threshold Gain Calculator
Budget VCSEL material threshold gain with explicit two intensity mirror reflectivities/confinement and internal loss; not cavity photon lifetime, no laser operating safety.
Description
A VCSEL threshold-gain budget combines internal loss and mirror loss and divides by confinement.
A VCSEL threshold-gain budget combines internal loss and mirror loss and divides by confinement.1
The mirror inputs are intensity reflectivities, which fixes the logarithm’s convention.
When to use Semiconductor Vcsel Threshold Gain 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 Vcsel Threshold Gain Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter callerVcselMirrorIntensityReflectivities, observedVcselCavityLengthM, callerDistributedInternalLossPerM, callerConfinementFraction, following the field table and rules below, then run the tool.
- Read modeledVcselMaterialThresholdGainPerM. 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 |
|---|---|---|---|
| callerVcselMirrorIntensityReflectivities | Caller VCSEL mirror intensity reflectivities | list of number | Required |
| observedVcselCavityLengthM | Observed VCSEL cavity length m | number | Required |
| callerDistributedInternalLossPerM | Caller distributed internal loss per m | number | Required |
| callerConfinementFraction | Caller confinement fraction | number | Required |
Supply exactly two reflectivities in (0,1], positive cavity length in metres, nonnegative distributed loss per metre, and confinement in (0,1]. Compute logarithmic mirror loss using the product of reflectivities over twice the length, add internal loss, and divide by confinement.
g_threshold=(internalLoss−ln(R1R2)/(2L))/Γ Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| modeledVcselMaterialThresholdGainPerM | Modeled VCSEL material threshold gain per m | number |
{
"input": {
"callerVcselMirrorIntensityReflectivities": [
0.9,
0.8
],
"observedVcselCavityLengthM": 1,
"callerDistributedInternalLossPerM": 0.1,
"callerConfinementFraction": 0.5
},
"output": {
"modeledVcselMaterialThresholdGainPerM": 0.528504066972036
}
}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 Vcsel Mode Spacing Calculator: Consecutive longitudinal VCSEL resonances provide observed frequency spacings. A matched group index and light-speed value can convert those spacings into effective optical cavity lengths. For a complementary step, use Semiconductor Vcsel Differential Efficiency Calculator: Differential optical efficiency is extracted from a measured optical-power versus drive-current slope. A matched photon energy converts watts per ampere into an apparent differential quantum efficiency.
References
Similar or alternative tools
- Semiconductor Vcsel Mode Spacing Calculator
Consecutive longitudinal VCSEL resonances provide observed frequency spacings. A matched group index and light-speed value can convert those spacings into effective optical cavity lengths.
- Semiconductor Vcsel Differential Efficiency Calculator
Differential optical efficiency is extracted from a measured optical-power versus drive-current slope. A matched photon energy converts watts per ampere into an apparent differential quantum efficiency.