Exponential Approximations of the Bessel Functions I0,1(x), J0,1(x), Y0(x), and H0(1,2)(x), with Applications to Electromagnetic Scattering, Radiation, and Diffraction

Several ordinary and modified Bessel functions are approximated using exponential series. These representations are useful in many scattering and diffraction problems where integrals involving Bessel functions must be computed. Examples are given for diffraction by a circular aperture, radiation from an aperture antenna, transient reflection from Debye and Lorentz media, and scattering by a conducting strip.