http://www.eecs.wsu.edu/~schneidj/ufdtd/chap14.pdf
The Equivalence Principle Recall the boundary conditions that pertain to the electric and magnetic fields tangential to an interface: nˆ ′ × (E1 − E2) = −Ms, (14.1) nˆ ′ × (H1 − H2) = Js, (14.2) where nˆ ′ is normal to the interface, pointing toward region 1. The subscript 1 indicates the fields immediately adjacent to one side of the interface and the subscript 2 indicates the fields just on the other side of the interface. The “interface” can either be a physical boundary between two media or a fictitious boundary with the same medium to either side. The current Ms is a magnetic surface current, i.e., a current that only flows tangential to the interface. In practice there is no magnetic charge and thus no magnetic current. Therefore (14.1) states that the tangential components of E must be continuous across the boundary. However, in theory, we can imagine a scenario where the tangential fields are discontinuous. If this were the case, the magnetic current Ms must be nonzero to account for this discontinuity
Chapter 14 Near-to-Far-Field Transformation
www.eecs.wsu.edu/~schneidj/ufdtd/chap14.pdf
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