Semiconductor Vcsel Mode Spacing Calculator
Audit actual VCSEL consecutive longitudinal-mode spacings and infer matched effective optical cavity length, not geometric FSR forward formula or transverse-mode selection.
Description
Consecutive longitudinal VCSEL resonances provide observed frequency spacings.
Consecutive longitudinal VCSEL resonances provide observed frequency spacings.1
A matched group index and light-speed value can convert those spacings into effective optical cavity lengths.
When to use Semiconductor Vcsel Mode Spacing 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 Mode Spacing Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedVcselLongitudinalResonanceHz, callerSpeedOfLightMSecond, callerMatchedGroupIndex, following the field table and rules below, then run the tool.
- Read observedModeSpacingHz, inferredEffectiveCavityLengthsM. 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 |
|---|---|---|---|
| observedVcselLongitudinalResonanceHz | Observed VCSEL longitudinal resonance hz | list of number | Required |
| callerSpeedOfLightMSecond | Caller speed of light m second | number | Required |
| callerMatchedGroupIndex | Caller matched group index | number | Required |
Use at least two positive strictly increasing resonance frequencies in hertz, plus positive speed in metres per second and group index. Take adjacent differences and calculate one effective length per spacing. Consecutive-mode assignment is supplied evidence.
Δf_i=f_(i+1)−f_i; L_i=c/(2n_gΔf_i) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedModeSpacingHz | Observed mode spacing hz | list of number |
| inferredEffectiveCavityLengthsM | Inferred effective cavity lengths m | list of number |
{
"input": {
"observedVcselLongitudinalResonanceHz": [
10,
12,
15
],
"callerSpeedOfLightMSecond": 300,
"callerMatchedGroupIndex": 3
},
"output": {
"observedModeSpacingHz": [
2,
3
],
"inferredEffectiveCavityLengthsM": [
25,
16.666666666666668
]
}
}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 Threshold Gain Calculator: A VCSEL threshold-gain budget combines internal loss and mirror loss and divides by confinement. The mirror inputs are intensity reflectivities, which fixes the logarithm’s convention. For a complementary step, use Semiconductor Silicon Photonics Ring Resonator Free Spectral Range Calculator: Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings. The reciprocal wavelength conversion preserves changing frequency spacing across the measured spectrum.
References
Similar or alternative tools
- Semiconductor Vcsel Threshold Gain Calculator
A VCSEL threshold-gain budget combines internal loss and mirror loss and divides by confinement. The mirror inputs are intensity reflectivities, which fixes the logarithm’s convention.
- Semiconductor Silicon Photonics Ring Resonator Free Spectral Range Calculator
Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings. The reciprocal wavelength conversion preserves changing frequency spacing across the measured spectrum.