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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Selected Asymptotic Methods with Applications to Electromagnetics and Antennas

Selected Asymptotic Methods with Applications to Electromagnetics and Antennas

Fikioris, George
Tastsoglou, Ioannis
Bakas, Odysseas N.

Paperback

Series: Synthesis Lectures on Computational Electromagnetics

Technology & EngineeringGeneral ComputersProgramming

ISBN10: 3031005880
ISBN13: 9783031005886
Publisher: Springer Nature
Published: Oct 9 2013
Pages: 187
Weight: 0.81
Height: 0.44 Width: 7.50 Depth: 9.25
Language: English
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.

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