Semiconductor Distributed Bragg Reflector Reflectivity Calculator
Ideal normal-incidence quarter-wave high/low stack intensity reflectivity via stable log admittance, explicit substrate/incident termination; no off-center transfer matrix or actual DBR certification.
Description
An ideal quarter-wave reflector depends on index contrast, pair count, and the incident and substrate media.
An ideal quarter-wave reflector depends on index contrast, pair count, and the incident and substrate media.1
Its center-wavelength normal-incidence intensity reflectivity is a conditional stack model.
When to use Semiconductor Distributed Bragg Reflector Reflectivity Calculator
Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
How to use Semiconductor Distributed Bragg Reflector Reflectivity Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter callerHighLayerIndex, callerLowLayerIndex, callerQuarterWavePairCount, callerIncidentIndex, callerSubstrateIndex, following the field table and calculation rules below, then run the tool.
- Read idealQuarterWaveDbrIntensityReflectivity. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| callerHighLayerIndex | Caller high layer index | number | Required |
| callerLowLayerIndex | Caller low layer index | number | Required |
| callerQuarterWavePairCount | Caller quarter wave pair count | number | Required |
| callerIncidentIndex | Caller incident index | number | Required |
| callerSubstrateIndex | Caller substrate index | number | Required |
Require all four indices positive and a safe-integer pair count from 0 to 1,000. Form the logarithm of substrate-to-incident index ratio plus twice pair count times log(high/low). Return tanh of half that value, squared; the labels do not enforce high index greater than low.
L=ln(nsubstrate/nincident)+2Nln(nhigh/nlow); R=tanh(L/2)² Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| idealQuarterWaveDbrIntensityReflectivity | Ideal quarter wave DBR intensity reflectivity | number |
{
"input": {
"callerHighLayerIndex": 2,
"callerLowLayerIndex": 1,
"callerQuarterWavePairCount": 2,
"callerIncidentIndex": 1,
"callerSubstrateIndex": 1
},
"output": {
"idealQuarterWaveDbrIntensityReflectivity": 0.7785467128027681
}
}Limitations and assumptions
Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected.
Alternative or Complementary methods
For a related task, use Semiconductor Distributed Feedback Laser Grating Period Calculator: The Bragg condition relates vacuum wavelength, effective index, grating order, and a modeled DFB period. All three optical conventions must match the independently selected laser branch. For a complementary step, use Semiconductor Phase Change Material Refractive Index Contrast Calculator: A phase-change material has complex optical indices whose real and imaginary parts describe different optical behavior. Comparing matched amorphous and crystalline measurements preserves both components of the contrast.
References
Similar or alternative tools
- Semiconductor Distributed Feedback Laser Grating Period Calculator
The Bragg condition relates vacuum wavelength, effective index, grating order, and a modeled DFB period. All three optical conventions must match the independently selected laser branch.
- Semiconductor Phase Change Material Refractive Index Contrast Calculator
A phase-change material has complex optical indices whose real and imaginary parts describe different optical behavior. Comparing matched amorphous and crystalline measurements preserves both components of the contrast.