Semiconductor Fan Out Wafer Level Package Warpage Calculator
Audit actual fan-out package height-map peak/valley and signed datum mean under caller budget, not radius-curvature sagitta or two supplied extrema; caller already removes fixture tilt.
Description
Package warpage can be summarized from a measured surface height map relative to a stated datum.
Package warpage can be summarized from a measured surface height map relative to a stated datum.1
Peak-to-valley variation and signed mean height capture different aspects of that map.
When to use Semiconductor Fan Out Wafer Level Package Warpage 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 Fan Out Wafer Level Package Warpage Calculator and understand its results
- Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
- Enter observedFanoutSurfaceHeightsMicron, callerMaximumPeakValleyWarpMicron, following the field table and calculation rules below, then run the tool.
- Read observedFanoutPeakValleyWarpMicron, observedFanoutSignedMeanHeightMicron, exceedsCallerFanoutWarpBudget. 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 |
|---|---|---|---|
| observedFanoutSurfaceHeightsMicron | Observed fanout surface heights micron | numeric matrix | Required |
| callerMaximumPeakValleyWarpMicron | Caller maximum peak valley warp micron | number | Required |
Supply a nonempty rectangular height matrix and a nonnegative warp budget. Flatten its entries, subtract minimum from maximum, calculate their arithmetic mean, and test strict budget excess. Equality is accepted; fixture tilt removal is an independently established input assumption.
warp=max(z)−min(z); mean=Σz/n; exceeds=(warp>budget) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedFanoutPeakValleyWarpMicron | Observed fanout peak valley warp micron | number |
| observedFanoutSignedMeanHeightMicron | Observed fanout signed mean height micron | number |
| exceedsCallerFanoutWarpBudget | Exceeds caller fanout warp budget | boolean |
{
"input": {
"observedFanoutSurfaceHeightsMicron": [
[
0,
1
],
[
2,
4
]
],
"callerMaximumPeakValleyWarpMicron": 3
},
"output": {
"observedFanoutPeakValleyWarpMicron": 4,
"observedFanoutSignedMeanHeightMicron": 1.75,
"exceedsCallerFanoutWarpBudget": true
}
}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 Flip Chip Stand Off Height Calculator: Installed flip-chip stand-off is a distribution of actual gap measurements. Comparing those measurements with explicit gap bounds differs from assuming nominal bump height. For a complementary step, use Semiconductor Hybrid Bonding Pitch Calculator: Local bonding pitch can be checked from measured two-dimensional bond centers. The closest pair and its difference from nominal pitch summarize spacing evidence without establishing alignment or bond integrity.
References
Similar or alternative tools
- Semiconductor Flip Chip Stand Off Height Calculator
Installed flip-chip stand-off is a distribution of actual gap measurements. Comparing those measurements with explicit gap bounds differs from assuming nominal bump height.
- Semiconductor Hybrid Bonding Pitch Calculator
Local bonding pitch can be checked from measured two-dimensional bond centers. The closest pair and its difference from nominal pitch summarize spacing evidence without establishing alignment or bond integrity.