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Application of Geometric Algebra to Electromagnetic Scattering
The Clifford-Cauchy-Dirac Technique
Buch von Andrew Seagar
Sprache: Englisch

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Beschreibung
This 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.
This 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.
Zusammenfassung

Allows to master techniques that lead to simpler and more efficient solutions

Offers very real and significant advantages in uniformity, complexity, speed, storage, stability, consistency and accuracy

Presents an integral formulation that applies to scattering in all types of materials without exception

Includes supplementary material: [...]

Inhaltsverzeichnis
Part 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.
Details
Erscheinungsjahr: 2015
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 204
Inhalt: XXII
179 S.
53 farbige Illustr.
179 p. 53 illus. in color.
ISBN-13: 9789811000881
ISBN-10: 9811000883
Sprache: Englisch
Herstellernummer: 978-981-10-0088-1
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Seagar, Andrew
Auflage: 1st ed. 2016
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 241 x 160 x 17 mm
Von/Mit: Andrew Seagar
Erscheinungsdatum: 20.11.2015
Gewicht: 0,477 kg
preigu-id: 104166269
Zusammenfassung

Allows to master techniques that lead to simpler and more efficient solutions

Offers very real and significant advantages in uniformity, complexity, speed, storage, stability, consistency and accuracy

Presents an integral formulation that applies to scattering in all types of materials without exception

Includes supplementary material: [...]

Inhaltsverzeichnis
Part 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.
Details
Erscheinungsjahr: 2015
Fachbereich: Nachrichtentechnik
Genre: Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 204
Inhalt: XXII
179 S.
53 farbige Illustr.
179 p. 53 illus. in color.
ISBN-13: 9789811000881
ISBN-10: 9811000883
Sprache: Englisch
Herstellernummer: 978-981-10-0088-1
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Seagar, Andrew
Auflage: 1st ed. 2016
Hersteller: Springer Singapore
Springer Nature Singapore
Maße: 241 x 160 x 17 mm
Von/Mit: Andrew Seagar
Erscheinungsdatum: 20.11.2015
Gewicht: 0,477 kg
preigu-id: 104166269
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