Selected Asymptotic Methods with Applications to Electromagnetics and Antennas

Released on by George Fikioris
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  • Selected Asymptotic Methods with Applications to Electromagnetics and Antennas Book Detail

  • Author : George Fikioris
  • Release Date : 2022-06-01
  • Publisher : Springer Nature
  • Genre : Technology & Engineering
  • Pages : 187
  • ISBN 13 : 3031017161
  • File Size : 22,22 MB
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Selected Asymptotic Methods with Applications to Electromagnetics and Antennas by George Fikioris PDF Summary

Book Description: 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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Accurate Computation of Mathieu Functions

Accurate Computation of Mathieu Functions

File Size : 52,52 MB
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This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromag