語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Application of geometric algebra to ...
~
SpringerLink (Online service)
Application of geometric algebra to electromagnetic scattering = the Clifford-Cauchy-Dirac technique /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Application of geometric algebra to electromagnetic scattering/ by Andrew Seagar.
其他題名:
the Clifford-Cauchy-Dirac technique /
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 -
電子資源:
http://dx.doi.org/10.1007/978-981-10-0089-8
ISBN:
9789811000898
Application of geometric algebra to electromagnetic scattering = the Clifford-Cauchy-Dirac technique /
Seagar, Andrew.
Application of geometric algebra to electromagnetic scattering
the 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:
828335
Electromagnetic waves
--Scattering
LC Class. No.: QC665.S3
Dewey Class. No.: 530.141
Application of geometric algebra to electromagnetic scattering = the Clifford-Cauchy-Dirac technique /
LDR
:02617nam a2200325 a 4500
001
860921
003
DE-He213
005
20160722161534.0
006
m d
007
cr nn 008maaau
008
170720s2016 si s 0 eng d
020
$a
9789811000898
$q
(electronic bk.)
020
$a
9789811000881
$q
(paper)
024
7
$a
10.1007/978-981-10-0089-8
$2
doi
035
$a
978-981-10-0089-8
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QC665.S3
072
7
$a
TJFN
$2
bicssc
072
7
$a
TEC024000
$2
bisacsh
072
7
$a
TEC030000
$2
bisacsh
082
0 4
$a
530.141
$2
23
090
$a
QC665.S3
$b
S438 2016
100
1
$a
Seagar, Andrew.
$3
1102883
245
1 0
$a
Application of geometric algebra to electromagnetic scattering
$h
[electronic resource] :
$b
the Clifford-Cauchy-Dirac technique /
$c
by Andrew Seagar.
260
$a
Singapore :
$c
2016.
$b
Springer Singapore :
$b
Imprint: Springer,
300
$a
xxii, 179 p. :
$b
ill., digital ;
$c
24 cm.
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.
650
0
$a
Electromagnetic waves
$x
Scattering
$x
Mathematical models.
$3
828335
650
0
$a
Geometry, Algebraic.
$3
580393
650
1 4
$a
Engineering.
$3
561152
650
2 4
$a
Microwaves, RF and Optical Engineering.
$3
593918
650
2 4
$a
Numerical and Computational Physics.
$3
768904
650
2 4
$a
Computational Science and Engineering.
$3
670319
650
2 4
$a
Numeric Computing.
$3
669943
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-981-10-0089-8
950
$a
Engineering (Springer-11647)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入