A Simple Formula For Calculating Approximate Values of the First Zeros of a Combination Bessel Function Equation (Correspondence)

The solution of many problems in microwave theory, particularly those relating to waveguides having curved boundary surfaces, is dependent upon a determination of the zeros of the Bessel function equation J/sub p/(x) N/sub p/(kx) - J/sub p/(kx) N/sub p/(x) = 0 where J/sub p/ and N/sub p/ are respectively the Bessel functions of the first and second kinds, of order p. In a majority of the cases arising in waveguide theory, the parameters k and p are real and positive, but may be fractional or integral.