Application of geometric algebra to electromagnetic scattering: the Clifford-Cauchy-Dirac Technique
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
Springer Science+Business Media
2016
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| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (xxii, 179 p. 53 illus. in color) |
| ISBN: | 9789811000898 |
| DOI: | 10.1007/978-981-10-0089-8 |
Internformat
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Datensatz im Suchindex
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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 | 2024-08-01T12:11:55Z |
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| isbn | 9789811000898 |
| language | English |
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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 |
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