Title :
First order exponential approximations for small arguments
Author :
Narayanan, Ram M.
Author_Institution :
Dept. of Electr. Eng., Nebraska Univ., Lincoln, NE, USA
Abstract :
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.<>
Keywords :
antenna arrays; antenna radiation patterns; antenna theory; approximation theory; electromagnetic wave scattering; electromagnetism; engineering computing; function approximation; physics computing; antenna arrays; backscatter; decomposition; electromagnetics; first order exponential approximations; functional dependence; products; quotients of functions; radiation; scattering; small value arguments; tapered line source; Antenna radiation patterns; Backscatter; Directive antennas; Electromagnetic radiation; Electromagnetic scattering; Equations; Fresnel reflection; Rough surfaces; Surface roughness; Visualization;
Journal_Title :
Aerospace and Electronic Systems Magazine, IEEE
