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Exponential Approximations of the Bessel Functions I0,1(x), J0,1(x), Y0(x), and H01,2(x), with Applications to Electromagnetic Scattering, Radiation, and Diffraction [EM Programmer's Notebook]

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1 Author(s)
Edward J. Rothwell ; Department of Electrical and Computer Engineering, 2120 Engineering Building, Michigan State University, East Lansing, 48824 USA

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.

Published in:

IEEE Antennas and Propagation Magazine  (Volume:51 ,  Issue: 3 )