Illustration of the equivalence principle for an imaginary closed surface with impressed electric and magnetic current sources: original (a) and equivalent (b) problems over the imaginary surface, . and represent the original source distributions inside the surface. The equivalent formulation yields the same external electric and magnetic fields distribution as in the original problem. The internal fields and surface currents are chosen to enforce the boundary conditions.
In electromagnetism, surface equivalence principle or surface equivalence theorem relates an arbitrary current distribution within an imaginary closed surface with an equivalent source on the surface. It is also known as field equivalence principle,[1]Huygens' equivalence principle[2] or simply as the equivalence principle.[3] Being a more rigorous reformulation of the Huygens–Fresnel principle, it is often used to simplify the analysis of radiating structures such as antennas.
Certain formulations of the principle are also known as Love equivalence principle and Schelkunoff equivalence principle, after Augustus Edward Hough Love and Sergei Alexander Schelkunoff, respectively.
^Cite error: The named reference Rengarajan00 was invoked but never defined (see the help page).
^Cite error: The named reference chew93 was invoked but never defined (see the help page).
^Harrington 2001, p. 106-109.
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