The marked (asterisk) modes' azimuthal numbers are m = 70.
However, noticeable differences occur for models C, D, and G at positive azimuthal numbers (corresponding to (_{i}{g_{n}^{m}}) coefficients) whose origin is not easy to determine.
The wavefunctions obtained are characterised by four quantum numbers: n, m the azimuthal quantum number, and two parabolic quantum numbers n 1 and n 2. These quantum numbers satisfy the condition that n=n 1+n 2+|m|+1+n
Fig. 4 Effect of mode delay of azimuthal mode number when radial mode number m = 1 and the azimuthal mode number separation ∆l is varied: (a) ∆l = 1, (b) ∆l = 2, (c) ∆l = 3, (d) ∆l = 4 and (e) ∆l = 5. Figure 5 shows the channel impulse response when the radial mode number is fixed at 3 and the azimuthal mode number is varied.
Fig. 5 Effect of mode delay of azimuthal mode number when radial mode number m = 1 and the azimuthal mode number separation ∆l is varied: (a) ∆l = 1, (b) ∆l = 2, (c) ∆l = 3, (d) ∆l = 4 and (e) ∆l = 5. Figure 6 shows a comparison of the eye diagrams showing the effect of azimuthal mode number separation Δl for fixed values of m at a MMF length of 400 m.
The recursive mean is regarded as the mean azimuthal mode number value of the azimuthal mode number spectrum.
Fixed azimuthal mode number l =1 and radial mode number spacing, Δm = 1, 2, 3, 4, 5 4.
We suggest that the azimuthal mode number is likely related to the ion gyroradius and azimuthal wave number.
Figure 7 shows the recursive mean of the azimuthal mode number spectrum and the ±σ deviation (the error bar) from the recursive mean value versus the MLAT of the arc location for these 31 substorm wave-like arc events.
Figures 2 and 3 shows the average BER per photodetector array with respect to MMF length for azimuthal mode number separations Δl = 1, 2, 3, 4, 5 for fixed radial mode numbers, m = 1 and m = 3 respectively.
