Semiconductor Plasmonic Propagation Length Vs Confinement Calculator

Audit actual matched plasmon confinement/propagation Pareto evidence against two caller criteria, not independent length exponential fit or a universal tradeoff.

Description

Confinement and propagation length can be compared as paired observations under two explicit criteria.

Confinement and propagation length can be compared as paired observations under two explicit criteria.1

Reporting qualifying samples and products keeps the evidence separate from a universal tradeoff law.

When to use Semiconductor Plasmonic Propagation Length Vs Confinement 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 Plasmonic Propagation Length Vs Confinement Calculator and understand its results

  1. Prepare measured device or specimen records under independently matched branch, temperature, frame, and unit conventions.
  2. Enter observedPlasmonConfinementFractions, observedMatchedPropagationLengthsM, callerMinimumConfinementFraction, callerMinimumPropagationLengthM, following the field table and rules below, then run the tool.
  3. Read measuredSamplesMeetingBothCriteria, observedConfinementLengthProductsM. Use the output meanings below to interpret units, signs, flags, and any nested result fields.
  4. 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 fieldMeaningValue typeRequirement
observedPlasmonConfinementFractionsObserved plasmon confinement fractionslist of numberRequired
observedMatchedPropagationLengthsMObserved matched propagation lengths mlist of numberRequired
callerMinimumConfinementFractionCaller minimum confinement fractionnumberRequired
callerMinimumPropagationLengthMCaller minimum propagation length mnumberRequired

Use aligned nonempty confinement fractions in [0,1] and positive propagation lengths in metres, a minimum confinement in [0,1], and a nonnegative minimum length. Return indices meeting both inclusive minima and confinement×length for every sample. No Pareto frontier is computed despite the implementation’s descriptive wording.

qualifies_i=(fraction_i≥minimumFraction and length_i≥minimumLength); product_i=fraction_i×length_i

Symbols follow the input and output meanings and the calculation rules above.

Output fieldMeaningValue type
measuredSamplesMeetingBothCriteriaMeasured samples meeting both criterialist of number
observedConfinementLengthProductsMObserved confinement length products mlist of number
json
{
  "input": {
    "observedPlasmonConfinementFractions": [
      0.1,
      0.3,
      0.5
    ],
    "observedMatchedPropagationLengthsM": [
      10,
      6,
      2
    ],
    "callerMinimumConfinementFraction": 0.2,
    "callerMinimumPropagationLengthM": 5
  },
  "output": {
    "measuredSamplesMeetingBothCriteria": [
      1
    ],
    "observedConfinementLengthProductsM": [
      1,
      1.7999999999999998,
      1
    ]
  }
}

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 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. For a complementary step, use Semiconductor Plasmonic Propagation Length Calculator: An intensity decay fit defines a plasmonic propagation length at the 1/e intensity level. Using intensity rather than field amplitude fixes the factor-of-two convention.

References

  1. Semiconductor Plasmonic Propagation Length Vs Confinement Calculator — tool.io

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