Semiconductor Phase Change Material Refractive Index Contrast Calculator

Audit actual matched complex crystalline-minus-amorphous optical indices, preserving real/imaginary changes separately; not real-only material index lookup.

Description

A phase-change material has complex optical indices whose real and imaginary parts describe different optical behavior.

A phase-change material has complex optical indices whose real and imaginary parts describe different optical behavior.^[1]

Comparing matched amorphous and crystalline measurements preserves both components of the contrast.

When to use Semiconductor Phase Change Material Refractive Index Contrast 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 Phase Change Material Refractive Index Contrast Calculator and understand its results

Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
Enter observedAmorphousComplexIndex, observedCrystallineComplexIndex, following the field table and calculation rules below, then run the tool.
Read signedComplexIndexContrasts, complexContrastMagnitudes. 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
observedAmorphousComplexIndex	Observed amorphous complex index	numeric matrix	Required
observedCrystallineComplexIndex	Observed crystalline complex index	numeric matrix	Required

Supply nonempty aligned matrices of [real, imaginary] pairs. Subtract each amorphous pair from its crystalline pair and take the Euclidean magnitude of that signed two-component contrast. Component signs are not restricted by this implementation.

Δn_i=[Re(ncrystal)−Re(namorphous),Im(ncrystal)−Im(namorphous)]; magnitude_i=hypot(Δn_i)

Read these symbols with the field meanings and branch or reference rules above.

Output field	Meaning	Value type
signedComplexIndexContrasts	Signed complex index contrasts	numeric matrix
complexContrastMagnitudes	Complex contrast magnitudes	list of number

json

{
  "input": {
    "observedAmorphousComplexIndex": [
      [
        2,
        0.1
      ],
      [
        3,
        0.2
      ]
    ],
    "observedCrystallineComplexIndex": [
      [
        4,
        0.2
      ],
      [
        2,
        0.1
      ]
    ]
  },
  "output": {
    "signedComplexIndexContrasts": [
      [
        2,
        0.1
      ],
      [
        -1,
        -0.1
      ]
    ],
    "complexContrastMagnitudes": [
      2.0024984394500787,
      1.004987562112089
    ]
  }
}

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. Arrays must be dense, with no missing cells. Numeric matrices allow at most 128 rows and 128 entries per row, with exact shape requirements stated above.

Alternative or Complementary methods

For a related task, use Semiconductor Glass Interposer Loss Tangent Calculator: Dielectric loss tangent is a ratio between loss and real permittivity under a stated complex-sign convention. Matched glass-interposer measurements supply that ratio for each sampled condition. For a complementary step, use Semiconductor Molding Compound Glass Transition Temperature Calculator: A baseline-corrected heat-capacity step can mark a molding compound glass transition. A caller-selected fraction of the measured step range defines the crossing level and its dependence on the supplied scan.

References

Semiconductor Phase Change Material Refractive Index Contrast Calculator — tool.io

Similar or alternative tools

Semiconductor Glass Interposer Loss Tangent Calculator
Dielectric loss tangent is a ratio between loss and real permittivity under a stated complex-sign convention. Matched glass-interposer measurements supply that ratio for each sampled condition.
Semiconductor Molding Compound Glass Transition Temperature Calculator
A baseline-corrected heat-capacity step can mark a molding compound glass transition. A caller-selected fraction of the measured step range defines the crossing level and its dependence on the supplied scan.