Semiconductor Silicon Photonics Ring Resonator Free Spectral Range Calculator
Audit consecutive measured ring resonances with exact wavelength/frequency spacings, not linewidth Q or a constant-wavelength FSR approximation.
Description
Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings.
Consecutive ring-resonator wavelengths imply both wavelength and frequency spacings.1
The reciprocal wavelength conversion preserves changing frequency spacing across the measured spectrum.
When to use Semiconductor Silicon Photonics Ring Resonator Free Spectral Range 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 Silicon Photonics Ring Resonator Free Spectral Range Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedRingResonanceWavelengthM, callerVacuumSpeedMSecond, following the field table and rules below, then run the tool.
- Read observedRingWavelengthSpacingsM, observedRingFrequencySpacingsHz. 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 |
|---|---|---|---|
| observedRingResonanceWavelengthM | Observed ring resonance wavelength m | list of number | Required |
| callerVacuumSpeedMSecond | Caller vacuum speed m second | number | Required |
Use at least two positive strictly increasing resonance wavelengths in metres and a positive vacuum speed in metres per second. Return adjacent wavelength differences and c/λ_i−c/λ_(i+1). Consecutive-mode assignment is supplied externally.
Δλ_i=λ_(i+1)−λ_i; Δf_i=c/λ_i−c/λ_(i+1) Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedRingWavelengthSpacingsM | Observed ring wavelength spacings m | list of number |
| observedRingFrequencySpacingsHz | Observed ring frequency spacings hz | list of number |
{
"input": {
"observedRingResonanceWavelengthM": [
1,
1.1,
1.3
],
"callerVacuumSpeedMSecond": 300
},
"output": {
"observedRingWavelengthSpacingsM": [
0.10000000000000009,
0.19999999999999996
],
"observedRingFrequencySpacingsHz": [
27.27272727272731,
41.95804195804192
]
}
}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 Silicon Photonics Phase Shifter Vpi Calculator: A phase-shifter Vπ is the voltage change associated with a π phase change on a chosen linear branch. Measured unwrapped phase data can estimate Vπ and its interaction-length product.
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 Silicon Photonics Phase Shifter Vpi Calculator
A phase-shifter Vπ is the voltage change associated with a π phase change on a chosen linear branch. Measured unwrapped phase data can estimate Vπ and its interaction-length product.