Table 1 Values of Bessel functions and Bessel functions derivatives. 2 Derivatives of Bessel functions of the first kind.įor the engineers’ convenience the values of Bessel functions and Bessel functions derivatives are commonly given in tables (see Table 1). Several Bessel functions and Bessel functions derivatives are shown in Fig. – n-th root of the m-th Bessel function derivative , Stands for a wave velocity in a medium filling the waveguide, b c, m,n is a cutoff phase constant which is calculated according to the formulae given below: The cutoff frequency for circular waveguide is calculated using the following formula: The cutoff frequency is unique for a particular waveguide mode that is supposed to be propagating in a waveguide of a given diameter and determines the lower frequency of the waveguide’s operating frequency range. Similarly as in the case of rectangular waveguides, propagation in circular waveguides is determined by a cutoff frequency.
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