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Clifford Algebra and Electromagnetic Boundary Conditions At an Interface

 

作者: P. Puska,  

 

期刊: Journal of Electromagnetic Waves and Applications  (Taylor Available online 2000)
卷期: Volume 14, issue 1  

页码: 11-24

 

ISSN:0920-5071

 

年代: 2000

 

DOI:10.1163/156939300X00536

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Electromagnetists use primarily vector algebra developed by Gibbs and Heaviside. However, there are other possibilities and of these probably the most attractive is Clifford algebra. Clifford algebra's elements can be interpreted as geometric entities and its operations as geometric transformations. As a consequence, electromagnetic boundary conditions at an interface can be cast in a geometric form. This form employs reflections with respect to a plane and gives a unified appearance to the boundary conditions in three-space and in space-time. Furthermore, in space-time the geometric form of the conditions is covariant.

 

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