Selected Asymptotic Methods with Applications to Electromagnetics and Antennas / by George Fikioris, Ioannis Tastsoglou, Odysseas N. Bakas.

Format:

Book

Author/Creator:

Fikioris, George., Author.

Tastsoglou, Ioannis., Author.

Bakas, Odysseas., Author.

Series:

Synthesis Lectures on Computational Electromagnetics, 1932-1716

Language:

English

Subjects (All):

Engineering.

Electrical engineering.

Telecommunication.

Technology and Engineering.

Electrical and Electronic Engineering.

Microwaves, RF Engineering and Optical Communications.

Local Subjects:

Technology and Engineering.

Electrical and Electronic Engineering.

Microwaves, RF Engineering and Optical Communications.

Physical Description:

1 online resource (XIX, 187 p.)

Edition:

1st ed. 2014.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

Summary:

This book describes and illustrates the application of several asymptotic methods that have proved useful in the authors' research in electromagnetics and antennas. We first define asymptotic approximations and expansions and explain these concepts in detail. We then develop certain prerequisites from complex analysis such as power series, multivalued functions (including the concepts of branch points and branch cuts), and the all-important gamma function. Of particular importance is the idea of analytic continuation (of functions of a single complex variable); our discussions here include some recent, direct applications to antennas and computational electromagnetics. Then, specific methods are discussed. These include integration by parts and the Riemann-Lebesgue lemma, the use of contour integration in conjunction with other methods, techniques related to Laplace's method and Watson's lemma, the asymptotic behavior of certain Fourier sine and cosine transforms, and the Poisson summation formula (including its version for finite sums). Often underutilized in the literature are asymptotic techniques based on the Mellin transform; our treatment of this subject complements the techniques presented in our recent Synthesis Lecture on the exact (not asymptotic) evaluation of integrals.

Contents:

Preface

Introduction: Simple Asymptotic Approximations

Asymptotic Approximations Defined

Concepts from Complex Variables

Laplace's Method and Watson's Lemma

Integration by Parts and Asymptotics of Some Fourier Transforms

Poisson Summation Formula and Applications

Mellin-Transform Method for Asymptotic Evaluation of Integrals

More Applications to Wire Antennas

Authors' Biographies

Index.

ISBN:

9783031017162

3031017161