Description
Return one staggered-grid coordinate.
Numerical grids and sampled modes require explicit coordinate, boundary and sign conventions. A staggered location, minimum-image gap or Nyquist label is one component of a discretization rather than a complete field solve or unique physical interpretation.
Return one staggered-grid coordinate.
When to use this tool
Use Yee Grid Staggered Coordinate Offset when checking the stated grid-coordinate, periodic-image or sampled-mode convention.
How to use the tool and how it works
- Enter index, spacing, origin, staggerFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read coordinate. Use the output convention below.
Return one staggered-grid coordinate. Require spacing > 0 and staggerFraction in [0,1]; coordinate = origin+(index+staggerFraction)*spacing.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| index | Position under the explicit indexing convention; inspect any missing-value sentinel. | Required. Safe integer. |
| spacing | Spacing | Required. Finite number; strictly above 0. |
| origin | Origin | Required. Finite number. |
| staggerFraction | Stagger Fraction | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| coordinate | Coordinate | Required. Finite number. |
{
"input": {
"index": 3,
"spacing": 2,
"origin": 1,
"staggerFraction": 0.5
},
"output": {
"coordinate": 8
}
}Limitations and assumptions
- The stagger convention and coordinate units are supplied; no Yee-grid field allocation or complete electromagnetic mesh is validated.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the complete mesh, transform convention and boundary conditions for a consistent numerical simulation or physical interpretation.
References
Similar or alternative tools
- Numerical Dispersion One Grid Phase
Compare a centered spatial derivative's mode factor with exact wavenumber.
- Poisson Stencil One Source Term
Scale one Poisson-stencil source contribution.