Rigid guide

Lined guide

n

${\alpha }_n$

${\beta }_n$

${\alpha }_n$

${\beta }_n$

1

0.0000 - 0.0000i

5.0000 + 0.0000i

1.7147 - 0.3899i

4.7150 + 0.1418i

2

3.8317 - 0.0000i

3.2122 + 0.0000i

4.2840 - 0.3397i

2.6574 + 0.5476i

3

7.0155 - 0.0000i

0.0000 + 4.9212i

7.2598 - 0.2205i

0.3039 + 5.2677i

4

10.1734 - 0.0000i

0.0000 + 8.8599i

10.3398 - 0.1582i

0.1807 + 9.0509i

5

13.3236 - 0.0000i

0.0000 + 12.3499i

13.4499 - 0.1226i

0.1320 + 12.4861i

6

16.4706 - 0.0000i

0.0000 + 15.6933i

16.5724 - 0.0998i

0.1047 + 15.8002i

7

19.6158 - 0.0000i

0.0000 + 18.9679i

19.7012 - 0.0841i

0.0870 + 19.0561i

8

22.7600 - 0.0000i

0.0000 + 22.2040i

22.8335 - 0.0727i

0.0745 +22.2794i

9

25.9036 - 0.0000i

0.0000 + 25.4165i

25.9681 - 0.0640i

0.0652 + 25.4822i

10

29.0468 - 0.0000i

0.0000 + 28.6132i

29.1043 - 0.0571i

0.0580 + 28.6716i