| 000 | 03611nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-981-10-0089-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220801222532.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 151112s2016 si | s |||| 0|eng d | ||
| 020 |
_a9789811000898 _9978-981-10-0089-8 |
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| 024 | 7 |
_a10.1007/978-981-10-0089-8 _2doi |
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| 050 | 4 | _aTK5101-5105.9 | |
| 072 | 7 |
_aTJF _2bicssc |
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| 072 | 7 |
_aTEC024000 _2bisacsh |
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| 072 | 7 |
_aTJF _2thema |
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| 082 | 0 | 4 |
_a621.3 _223 |
| 100 | 1 |
_aSeagar, Andrew. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _962006 |
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| 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 Nature Singapore : _bImprint: Springer, _c2016. |
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| 300 |
_aXXII, 179 p. 53 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 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 |
_aTelecommunication. _910437 |
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| 650 | 0 |
_aMathematical physics. _911013 |
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| 650 | 0 |
_aMathematics—Data processing. _931594 |
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| 650 | 0 |
_aNumerical analysis. _94603 |
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| 650 | 1 | 4 |
_aMicrowaves, RF Engineering and Optical Communications. _931630 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _931560 |
| 650 | 2 | 4 |
_aComputational Science and Engineering. _962007 |
| 650 | 2 | 4 |
_aNumerical Analysis. _94603 |
| 710 | 2 |
_aSpringerLink (Online service) _962008 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811000881 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811000904 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789811013850 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-10-0089-8 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c80875 _d80875 |
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