Application of approximation theory in antenna design

Abstract

In this chapter, we consider the original space mapping (SM) to get a better comprehension of the technique. It concentrates on combative space mapping and its applications in antenna design. Antenna Theory: Analysis and Design, by Constantine A. Balanisoffers a uniquely balanced analysis of antenna fundamentals and microstrip antennas. Eliminating redundancy, it provides a theoretical background, application materials and details of recent progress. Exploring several effective design approaches, this chapter covers a wide scope and makes it an ideal hands-on resource for professionals seeking a refresher in the fundamentals. Our primary pivot in this chapter is to introduce some specific techniques that enable users to make optimal use of strong mercantile software packages and computational electromagnetics used in full-wave analysis and antenna design. Beyond specific numerical computations for wide concepts, this chapter systematically presents the all-important approximation methods using Taylor’s expansion and approach to analyzing microstrip structures including antennas. In this chapter, we consider the operator theory and Stancu-type generalization on considered summation integral operators for a function f(x) ∈ C ∞ [0, ∞), where x ∈ [0, ∞). On the other hand, we use hypergeometric series to obtain central moments for the operators. In the main results, we obtain asymptotic formula and some error estimates with a modulus of continuity.