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001 978-981-10-0089-8
003 DE-He213
005 20200420220216.0
007 cr nn 008mamaa
008 151112s2016 si | s |||| 0|eng d
020 _a9789811000898
_9978-981-10-0089-8
024 7 _a10.1007/978-981-10-0089-8
_2doi
050 4 _aTK7876-7876.42
072 7 _aTJFN
_2bicssc
072 7 _aTEC024000
_2bisacsh
072 7 _aTEC030000
_2bisacsh
082 0 4 _a621.3
_223
100 1 _aSeagar, Andrew.
_eauthor.
245 1 0 _aApplication of Geometric Algebra to Electromagnetic Scattering
_h[electronic resource] :
_bThe Clifford-Cauchy-Dirac Technique /
_cby Andrew Seagar.
250 _a1st ed. 2016.
264 1 _aSingapore :
_bSpringer Singapore :
_bImprint: Springer,
_c2016.
300 _aXXII, 179 p. 53 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I. Preparation: History -- Notation -- Geometry -- Space and Time -- Part II. Formulation: Scattering -- Cauchy Integrals -- Hardy Projections -- Construction of Solutions -- Part III. Demonstration: Examples -- Part IV. Contemplation: Perspectives -- Appendices.
520 _aThis work presents the Clifford-Cauchy-Dirac (CCD) technique for solving problems involving the scattering of electromagnetic radiation from materials of all kinds. It allows anyone who is interested to master techniques that lead to simpler and more efficient solutions to problems of electromagnetic scattering than are currently in use. The technique is formulated in terms of the Cauchy kernel, single integrals, Clifford algebra and a whole-field approach. This is in contrast to many conventional techniques that are formulated in terms of Green's functions, double integrals, vector calculus and the combined field integral equation (CFIE). Whereas these conventional techniques lead to an implementation using the method of moments (MoM), the CCD technique is implemented as alternating projections onto convex sets in a Banach space. The ultimate outcome is an integral formulation that lends itself to a more direct and efficient solution than conventionally is the case, and applies without exception to all types of materials. On any particular machine, it results in either a faster solution for a given problem or the ability to solve problems of greater complexity. The Clifford-Cauchy-Dirac technique offers very real and significant advantages in uniformity, complexity, speed, storage, stability, consistency and accuracy.
650 0 _aEngineering.
650 0 _aNumerical analysis.
650 0 _aComputer mathematics.
650 0 _aPhysics.
650 0 _aMicrowaves.
650 0 _aOptical engineering.
650 1 4 _aEngineering.
650 2 4 _aMicrowaves, RF and Optical Engineering.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aNumeric Computing.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789811000881
856 4 0 _uhttp://dx.doi.org/10.1007/978-981-10-0089-8
912 _aZDB-2-ENG
942 _cEBK
999 _c51589
_d51589