Examples
Examples
Try the starting example
- Elements [x m,y m,z m,amplitude,phase degrees]
- [[0,0,0,1,0],[1,0,0,1,0]]
- Frequency (MHz)
- 150
- Azimuth grid (degrees)
- 0,30,60,90,120,150,180
- Azimuth and normalized array-factor magnitude
- [[0,0.00108743945454],[30,0.207975801101],[60,0.706722208702],[90,1],[120,0.706722208702],[150,0.207975801101],[180,0.00108743945454]]
Try another scenario
- Elements [x m,y m,z m,amplitude,phase degrees]
- [[0,0,0,1,0],[1,0,0,1,0]]
- Frequency (MHz)
- 200
- Azimuth grid (degrees)
- [0, 30, 60, 90, 120, 150, 180]
- Azimuth and normalized array-factor magnitude
- [[0,0.501255141165],[30,0.241837099884],[60,0.499372035078],[90,1],[120,0.499372035078],[150,0.241837099884],[180,0.501255141165]]
Calculation method
Calculation method
Azimuth and normalized array-factor magnitude
Sum amplitude exp(i(phase+k dot position)), horizontal observation plane; normalize by sum absolute weights.
Symbols and units
- a
- Elements [x m,y m,z m,amplitude,phase degrees]
- b
- Frequency (MHz)
- c
- Azimuth grid (degrees)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Element coordinates, phase-amplitude weights, frequency. Returns Ideal angular array factor. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Frequency (MHz): minimum 1e-12, maximum 1000000000000.0. Azimuth grid (degrees): minimum None, maximum 1000000000000.0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.