where [J.sub.m] and [H.sup.(l).sub.m] denote Bessel
functions and Hankel functions of first kind of order m, respectively, while [k.sub.0] is the free-space wave number.
Li et al., "Beam wander relieved orbital angular momentum communication in turbulent atmosphere using Bessel
beams," Scientific Reports, vol.
This conclusion can be inferred from (12) due to field dependence with distance z through combination of the exponential and modified Bessel
In Section 2, we briefly describe the transition probability derived from the Bessel
stochastic differential equation.
In this section, one main result on the close-to-convexity of the generalized Bessel
function with several consequences is discussed in detail.
Dixit, An application of generalized Bessel
functions oncertain analytic functions", Acta Universitatis Matthiae Belii.
“The Friedrich Wilhelm Bessel
Award is a great honor for both Dr.
The fourth order BPFs of the following types were used: Bessel
, Butterworth, elliptic, Chebyshev ([f.sub.1] = 0.01 Hz, [f.sub.2] = 75 Hz).
In contrast, a Bessel
shape, which approximates an ideal Gaussian rolloff, appears to produce a much better step response.
Obviously, the Bessel
functions [J.sub.m]([[lambda].sup.p.sub.j]x) are solutions of cylindrical waves without flow, which are not the eigenfunctions with shear flow.
where [J.sub.v] is the vth-order Bessel
function of first kind.