Extended Magnetic Potential Method for Quasi-Static Electromagnetism and Eddy Current Phenomena

Computer Assisted Eddy Current Probe Design

“…Here, we have chosen the extended magnetic potential (EMP) formulation, as described in References [1,2]. In the EMP formulation, most of the unknown surface density functions are scalar functions and the interface continuity conditions are enforced only on the scalarlike unknowns.…”

“…For this reason, the EMP formulation is applicable for arbitrarily shaped geometries including edges and comers. Readers are invited to see Reference [2] for further details on this topic.…”

“…We have achieved this capability by extending the magnetic scalar potential method introduced last year for ferrite cores so that the method works with conducting materials also. The resulting BEM formulation is what we call the extended magnetic potential (EMP) formulation [1,2], which, we believe, is the best BEM approach for our target application.…”

Optimization of a Wide-Field Eddy Current Probe Using a Boundary Element Method Based Model

“…The model utilizes a variational form of the Hertzian potential approach by defining the total magnetic fields in the air region outside the specimen as Internal to the conductive specimen, the total magnetic field is defined as (3) where Ii is an auxiliary vector potential function. At the air/specimen interface, the normal component of the magnetic flux density and the tangential components of the magnetic fields are continuous across the boundary.…”

“…A more economical alternative to this development cycle is to evaluate the design parameters through the use of numerical simulation [I] - [3]. This process is conceptually simple and cost-effective whereas the design changes are done in a computer aided design (CAD) environment.…”