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In this paper, we will discuss two methods to tackle the low-frequency, multi-scale electromagnetics problem. First we will discuss the augmented electric field integral equation (AEFIE), and then, we will discuss the equivalence principle algorithm (EPA). The AEFIE allows the solution of such problems without the need to perform a loop search of a complex structure. The EPA allows the separation...
Computational electromagnetic (CEM) simulations have become an indispensable tool in analyzing and designing modern electromagnetic system. However, many challenges arise when applying CEM solvers to real world problems. Multiscale phenomena are one of them. The existence of both wave and circuit physics in such problems introduces large and small eigenvalues simultaneously that causes the resulting...
In this paper, an updated equivalence principle algorithm (EPA) is presented. Compared with previous work by the authors, the high-order point sampling scheme is used to reduce the high-frequency noise in field projection. An updated tap basis scheme is introduced to simplify the formulation. With these schemes, the equivalence principle algorithm can be used to solve multiscale problems by substituting...
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