Mode-Sorter Crosstalk
Calculate diagonal mode-sorting efficiency and off-diagonal crosstalk.
Description
Mode-sorter efficiency counts diagonal signal as correctly routed and all other entries as crosstalk.
Mode-sorter efficiency counts diagonal signal as correctly routed and all other entries as crosstalk. A total-power normalization weights entries by their magnitudes.1
Calculate diagonal mode-sorting efficiency and off-diagonal crosstalk.
When to use Mode-Sorter Crosstalk
Use this tool to calculate diagonal mode-sorting efficiency and off-diagonal crosstalk.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Mode-Sorter Crosstalk and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter confusionMatrix, modeCount using the field table and calculation rules, then run the tool.
- Read sortingEfficiencyPercent, crosstalkPercent. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| confusionMatrix | Flattened square power matrix | list of number | Required |
| modeCount | Mode count | integer; minimum: 1 | Required |
Enter positive integer mode count and a row-major flattened nonnegative square matrix with positive total. Return aggregate percentages.
efficiency%=100Σdiagonal/Σall; crosstalk%=100−efficiency Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| sortingEfficiencyPercent | Diagonal sorting efficiency (%) | number; minimum: 0; maximum: 100 |
| crosstalkPercent | Off-diagonal crosstalk (%) | number; minimum: 0; maximum: 100 |
{
"input": {
"confusionMatrix": [
9,
1,
2,
8
],
"modeCount": 2
},
"output": {
"sortingEfficiencyPercent": 85,
"crosstalkPercent": 15
}
}Limitations and assumptions
No row-by-row normalization, uncertainty or mode identity check is performed.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use HOM Bend Suppression: Calculate bend-induced higher-order-mode suppression relative to the fundamental mode. For a complementary task, use Stripe-Waveguide V-Number: Calculate planar stripe-waveguide V-number and an approximate guided-mode count.
References
-
Mode-Sorter Crosstalk — tool.io
Similar or alternative tools
- HOM Bend Suppression
Calculate bend-induced higher-order-mode suppression relative to the fundamental mode.
- Stripe-Waveguide V-Number
Calculate planar stripe-waveguide V-number and an approximate guided-mode count.