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First order exponential approximations for small arguments

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1 Author(s)
Narayanan, R.M. ; Dept. of Electr. Eng., Nebraska Univ., Lincoln, NE, USA

Most functions of interest in engineering problems can be approximated as f(/spl chi/)=A/spl chi//sup M/ exp /spl lcub/B/spl chi//sup N//spl rcub/ for small values of the argument /spl chi/, where A, B, M and N are constants. Such a decomposition allows one to rapidly visualize the functional dependence for small arguments, and is also useful in evaluating products and quotients of functions. Applications in electromagnetics include scattering, radiation and antenna problems.<>

Published in:

Aerospace and Electronic Systems Magazine, IEEE  (Volume:9 ,  Issue: 2 )