First order exponential approximations for small arguments

Author

Narayanan, Ram M.

Author_Institution

Dept. of Electr. Eng., Nebraska Univ., Lincoln, NE, USA

Volume

9

Issue

2

fYear

1994

Firstpage

33

Lastpage

35

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;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems Magazine, IEEE

Publisher

ieee

ISSN

0885-8985

Type

jour

DOI

10.1109/62.260041

Filename

260041