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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)
Rothwell, E.J. ; Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, 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:

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

Date of Publication:

June 2009

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