000 03859nam a22005295i 4500
001 978-3-031-01716-2
003 DE-He213
005 20240730164922.0
007 cr nn 008mamaa
008 220601s2014 sz | s |||| 0|eng d
020 _a9783031017162
_9978-3-031-01716-2
024 7 _a10.1007/978-3-031-01716-2
_2doi
050 4 _aT1-995
072 7 _aTBC
_2bicssc
072 7 _aTEC000000
_2bisacsh
072 7 _aTBC
_2thema
082 0 4 _a620
_223
100 1 _aFikioris, George.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986662
245 1 0 _aSelected Asymptotic Methods with Applications to Electromagnetics and Antennas
_h[electronic resource] /
_cby George Fikioris, Ioannis Tastsoglou, Odysseas N. Bakas.
250 _a1st ed. 2014.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXIX, 187 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Computational Electromagnetics,
_x1932-1716
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _aEngineering.
_99405
650 0 _aElectrical engineering.
_986664
650 0 _aTelecommunication.
_910437
650 1 4 _aTechnology and Engineering.
_986665
650 2 4 _aElectrical and Electronic Engineering.
_986668
650 2 4 _aMicrowaves, RF Engineering and Optical Communications.
_931630
700 1 _aTastsoglou, Ioannis.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986669
700 1 _aBakas, Odysseas N.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_986670
710 2 _aSpringerLink (Online service)
_986672
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031005886
776 0 8 _iPrinted edition:
_z9783031028441
830 0 _aSynthesis Lectures on Computational Electromagnetics,
_x1932-1716
_986674
856 4 0 _uhttps://doi.org/10.1007/978-3-031-01716-2
912 _aZDB-2-SXSC
942 _cEBK
999 _c85989
_d85989