Semiconductor Photonic Crystal Bandgap Calculator
Locate actual zero-propagating-mode runs in independently computed photonic-crystal spectrum samples, not proof of unsampled complete bandgap or cavity Q.
Description
A sampled photonic-crystal spectrum can contain consecutive frequencies with no allowed propagating modes.
A sampled photonic-crystal spectrum can contain consecutive frequencies with no allowed propagating modes.1
Grouping those samples records observed gaps without proving an unsampled complete bandgap.
When to use Semiconductor Photonic Crystal Bandgap 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 Photonic Crystal Bandgap Calculator and understand its results
- Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
- Enter observedBlochFrequenciesHz, callerAllowedPropagatingModeCounts, following the field table and rules below, then run the tool.
- Read observedNoModeFrequencySamplesHz, observedGapSampleRunsBoundsHz. 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 |
|---|---|---|---|
| observedBlochFrequenciesHz | Observed bloch frequencies hz | list of number | Required |
| callerAllowedPropagatingModeCounts | Caller allowed propagating mode counts | list of number | Required |
Use at least two strictly increasing positive frequencies in hertz and aligned integer mode counts from zero to one million. Return frequencies whose count is zero and [first,last] frequency bounds for each consecutive zero-count run. A one-sample run has equal bounds; no interpolation or edge inference occurs.
noMode={f_i:modeCount_i=0}; runs=maximalConsecutiveZeroCountSamples Symbols follow the input and output meanings and the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedNoModeFrequencySamplesHz | Observed no mode frequency samples hz | list of number |
| observedGapSampleRunsBoundsHz | Observed gap sample runs bounds hz | numeric matrix |
{
"input": {
"observedBlochFrequenciesHz": [
1,
2,
3,
4
],
"callerAllowedPropagatingModeCounts": [
2,
0,
0,
3
]
},
"output": {
"observedNoModeFrequencySamplesHz": [
2,
3
],
"observedGapSampleRunsBoundsHz": [
[
2,
3
]
]
}
}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 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. For a complementary step, use Semiconductor Plasmonic Waveguide Confinement Factor Calculator: Modal confinement is an energy-weighted regional fraction rather than a geometric volume fraction. In a dispersive plasmonic system the energy-density definition must be established independently.
References
Similar or alternative tools
- 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.
- Semiconductor Plasmonic Waveguide Confinement Factor Calculator
Modal confinement is an energy-weighted regional fraction rather than a geometric volume fraction. In a dispersive plasmonic system the energy-density definition must be established independently.