Reduction of Truncation Errors in Planar, Cylindrical, and Partial Spherical Near-Field Antenna Measurements

Table 3

Redefinition of the maximum validity angles.

Measurement setup	New maximum validity angles
PNF measurement	𝜃′𝑥=𝐶⋅𝜃𝑥;𝜃′𝑦=𝐶⋅𝜃𝑦
CNF measurement	𝜃′𝑦=𝐶⋅𝜃𝑦
SNF measurement with polar truncation	𝜃′𝑣=𝐶⋅𝜃𝑣
SNF measurement with spherical ring truncation	𝜃′𝑣1=𝜃𝑣1−(1−𝐶)⋅(𝜃𝑣1−𝜃𝑣2)/2
	𝜃′𝑣2=𝜃𝑣2+(1−𝐶)⋅(𝜃𝑣1−𝜃𝑣2)/2
SNF measurement with azimuthal truncation	𝜙′𝑣1=𝜙𝑣1+(1−𝐶)⋅(𝜙𝑣1−𝜙𝑣2)/2
	𝜙′𝑣2=𝜙𝑣2−(1−𝐶)⋅(𝜙𝑣1−𝜙𝑣2)/2
SNF measurement with sectorial truncation	𝜃′𝑣1=𝜃𝑣1−(1−𝐶)⋅(𝜃𝑣1−𝜃𝑣2)/2
	𝜃′𝑣2=𝜃𝑣2+(1−𝐶)⋅(𝜃𝑣1−𝜃𝑣2)/2
	𝜙′𝑣1=𝜙𝑣1+(1−𝐶)⋅(𝜙𝑣1−𝜙𝑣2)/2
	𝜙′𝑣2=𝜙𝑣2−(1−𝐶)⋅(𝜙𝑣1−𝜙𝑣2)/2