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Application of geometric algebra to electromagnetic scattering[electronic resource] :the Clifford-Cauchy-Dirac technique /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	530.141
書名/作者:	Application of geometric algebra to electromagnetic scattering : the Clifford-Cauchy-Dirac technique // by Andrew Seagar.
作者:	Seagar, Andrew.
出版者:	Singapore : : Springer Singapore :, 2016.
面頁冊數:	xxii, 179 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Electromagnetic waves - Scattering
標題:	Geometry, Algebraic.
標題:	Engineering.
標題:	Microwaves, RF and Optical Engineering.
標題:	Numerical and Computational Physics.
標題:	Computational Science and Engineering.
標題:	Numeric Computing.
ISBN:	9789811000898
ISBN:	9789811000881
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-981-10-0089-8

Application of geometric algebra to electromagnetic scattering[electronic resource] :the 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

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

611551
Electromagnetic waves
--Scattering

LC Class. No.: QC665.S3

Dewey Class. No.: 530.141

Application of geometric algebra to electromagnetic scattering[electronic resource] :the Clifford-Cauchy-Dirac technique /
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