Holdings: Application of geometric algebra to electromagnetic scattering

Application of geometric algebra to electromagnetic scattering: the Clifford-Cauchy-Dirac Technique

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Bibliographic Details
Main Author:	Seagar, Andrew (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore Springer Science+Business Media 2016
Subjects:	Engineering Numerical analysis Computer mathematics Physics Microwaves Optical engineering Microwaves, RF and Optical Engineering Numerical and Computational Physics Computational Science and Engineering Numeric Computing Ingenieurwissenschaften
Online Access:	BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online Ressource (xxii, 179 p. 53 illus. in color)
ISBN:	9789811000898
DOI:	10.1007/978-981-10-0089-8

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adam_text	APPLICATION OF GEOMETRIC ALGEBRA TO ELECTROMAGNETIC SCATTERING / SEAGAR, ANDREW : 2016 TABLE OF CONTENTS / 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. APPLICATION OF GEOMETRIC ALGEBRA TO ELECTROMAGNETIC SCATTERING / SEAGAR, ANDREW : 2016 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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indexdate	2025-02-20T06:52:35Z
institution	BVB
isbn	9789811000898
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spellingShingle	Seagar, Andrew Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique Engineering Numerical analysis Computer mathematics Physics Microwaves Optical engineering Microwaves, RF and Optical Engineering Numerical and Computational Physics Computational Science and Engineering Numeric Computing Ingenieurwissenschaften
title	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique
title_auth	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique
title_exact_search	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique
title_full	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique Andrew Seagar
title_fullStr	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique Andrew Seagar
title_full_unstemmed	Application of geometric algebra to electromagnetic scattering the Clifford-Cauchy-Dirac Technique Andrew Seagar
title_short	Application of geometric algebra to electromagnetic scattering
title_sort	application of geometric algebra to electromagnetic scattering the clifford cauchy dirac technique
title_sub	the Clifford-Cauchy-Dirac Technique
topic	Engineering Numerical analysis Computer mathematics Physics Microwaves Optical engineering Microwaves, RF and Optical Engineering Numerical and Computational Physics Computational Science and Engineering Numeric Computing Ingenieurwissenschaften
topic_facet	Engineering Numerical analysis Computer mathematics Physics Microwaves Optical engineering Microwaves, RF and Optical Engineering Numerical and Computational Physics Computational Science and Engineering Numeric Computing Ingenieurwissenschaften
url	https://doi.org/10.1007/978-981-10-0089-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028634443&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028634443&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT seagarandrew applicationofgeometricalgebratoelectromagneticscatteringthecliffordcauchydiractechnique

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