Table 11 \(\gamma\) requirement across the different combinations of complex roots for a null-filling of ± 1.75 dB and one depressed lobe affected.

From: Null-filling effects over measurement distances on circular Taylor patterns with optimal transition integer \(\overline{n}\) and with reduced inner sidelobes

Root configuration

\(\gamma\) required over an error of 0.5 dB

\(\gamma\) required over an error of 1.0 dB

\(-v_{1}, +v_{2}, +v_{3}, +v_{4}\)

28.8

14.8

\(-v_{1}, +v_{2}, +v_{3}, -v_{4}\)

28.7

14.8

\(-v_{1}, +v_{2}, -v_{3}, +v_{4}\)

28.5

14.7

\(-v_{1}, +v_{2}, -v_{3}, -v_{4}\)

28.5

14.7

\(-v_{1}, -v_{2}, +v_{3}, +v_{4}\)

7.2

5.0

\(-v_{1}, -v_{2}, +v_{3}, -v_{4}\)

7.2

5.1

\(-v_{1}, -v_{2}, -v_{3}, +v_{4}\)

7.3

5.2

\(-v_{1}, -v_{2}, -v_{3}, -v_{4}\)

7.4

5.2

\(+v_{1}, +v_{2}, +v_{3}, +v_{4}\)

9.4

6.8

\(+v_{1}, +v_{2}, +v_{3}, -v_{4}\)

9.4

6.8

\(+v_{1}, +v_{2}, -v_{3}, +v_{4}\)

9.6

6.8

\(+v_{1}, -v_{2}, +v_{3}, -v_{4}\)

28.9

15.2

\(+v_{1}, -v_{2}, -v_{3}, -v_{4}\)

29.2

15.3

\(+v_{1}, +v_{2}, -v_{3}, -v_{4}\)

9.6

6.9

\(+v_{1}, -v_{2}, +v_{3}, +v_{4}\)

28.9

15.2

\(+v_{1}, -v_{2}, -v_{3}, +v_{4}\)

29.2

15.3