Title :
Using the concept of linkage of closed loops to determine topological invariants of a cutting graph
Author_Institution :
Rutherford Appleton Lab., Chilton, UK
fDate :
1/1/1988 12:00:00 AM
Abstract :
The calculation of time varying electromagnetic fields requires that the topological connectivity of conducting material be known in order to ensure that a magnetic scalar potential is well defined. The intersection of cutting surfaces with a multiply connected conducting region forms looplike components of a cutting graph. It is shown that it is possible to distinguish these components by determining a measure for the linkage of loops in the space surrounding the conductor
Keywords :
electromagnetic fields; graph theory; closed loops linkage; conducting material; cutting graph; magnetic scalar potential; multiply connected conducting region; time varying EM fields; topological connectivity; topological invariants; Conducting materials; Conductors; Couplings; Electromagnetic fields; Equations; Gaussian processes; Laboratories; Potential well;
Journal_Title :
Magnetics, IEEE Transactions on
