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Application of geometric algebra to ...

Seagar, Andrew.

Application of geometric algebra to electromagnetic scatteringthe Clifford-Cauchy-Dirac technique /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Application of geometric algebra to electromagnetic scatteringby Andrew Seagar.
Reminder of title:	the Clifford-Cauchy-Dirac technique /
Author:	Seagar, Andrew.
Published:	Singapore :Springer Singapore :2016.
Description:	xxii, 179 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Electromagnetic wavesScattering
Online resource:	http://dx.doi.org/10.1007/978-981-10-0089-8
ISBN:	9789811000898$q(electronic bk.)

Application of geometric algebra to electromagnetic scatteringthe Clifford-Cauchy-Dirac technique /
Seagar, Andrew.

Application of geometric algebra to electromagnetic scatteringthe Clifford-Cauchy-Dirac technique /[electronic resource] :by Andrew Seagar. - Singapore :Springer Singapore :2016. - xxii, 179 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9789811000898$q(electronic bk.)

Standard No.: 10.1007/978-981-10-0089-8doiSubjects--Topical Terms:

665641
Electromagnetic waves
--Scattering

LC Class. No.: QC665.S3

Dewey Class. No.: 530.141

Application of geometric algebra to electromagnetic scatteringthe Clifford-Cauchy-Dirac technique /
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245 1 0 $a Application of geometric algebra to electromagnetic scattering $h [electronic resource] : $b the Clifford-Cauchy-Dirac technique / $c by Andrew Seagar.
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505 0 $a 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.
520 $a 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.
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