Title :
Choosing the right geometry for electrodynamics
Author_Institution :
Laser Metrol. Dept., Pforzheim UAS, Pforzheim, Germany
Abstract :
This paper discusses how modern Differential Geometry can be applied in engineering electrodynamics. At first, it shows some drawbacks of Gibbsian Vector Calculus, then introduces the more classical index based form of Rie-mannian Geometry. Finally, it is shown how modern Differential Geometry, especially the calculus Differential Forms, help generalize and simplify Vector Analysis and thus elctromagnetic field theory.
Keywords :
differential geometry; electrodynamics; electromagnetic field theory; Gibbsian vector calculus; Riemannian geometry; classical index; differential forms; differential geometry; eletromagnetic field theory; engineering electrodynamics; vector analysis; Calculus; Geometry; Indexes; Maxwell equations; Tensile stress; Vectors;
Conference_Titel :
Computational Technologies in Electrical and Electronics Engineering (SIBIRCON), 2010 IEEE Region 8 International Conference on
Conference_Location :
Listvyanka
Print_ISBN :
978-1-4244-7625-1
DOI :
10.1109/SIBIRCON.2010.5555110
