Design and Implementation of Single-Layer 4 × 4 and 8 × 8 Butler Matrices for Multibeam Antenna Arrays

Table 5

Outputs and phase progressions of the 8 × 8 BM for the excitation shown in Table 4.

Beam	Port 9	Port 10	Port 11	Port 12	Port 13	Port 14	Port 15	Port 16	(deg)
	Output phase (deg)
A	0	0	0	0	0	0	0	0	0
B	-123.75	146.25	56.25	-33.75	-123.75	146.25	56.25	-33.75	90
C	-33.75	56.25	146.25	-123.75	-33.75	56.25	146.25	-123.75	-90
D	-33.75	101.25	-123.75	11.25	146.65	-78.75	56.25	-168.75	135
E	-101.25	-146.25	168.75	-123.75	78.75	33.75	-11.25	-56.25	-45
F	-56.25	-11.25	33.75	78.75	-123.75	168.75	-146.25	-101.25	45
G	-168.75	56.25	-78.75	146.65	11.25	-123.75	-146.25	-33.75	-135
	Output amplitude (relative)
A-G	0.138	0.393	0.588	0.693	0.693	0.588	0.393	0.138