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What does the field equivalence principle allow?

  • A.Replacing a waveguide feed by an equivalent coaxial line of the same impedance
  • B.Replacing a measured pattern by a computed one when the two nearly agree
  • C.Replacing the actual sources by equivalent currents on a closed surface
  • D.Replacing a curved reflector by a flat plate of the same projected area size

Answer: C

The equivalence principle states that the field outside a closed surface is unchanged if the sources within are removed and replaced by suitable electric and magnetic surface currents. That is what makes it legitimate to compute a horn's pattern from the field in its mouth, ignoring everything inside. It is a rigorous theorem rather than an approximation. The other options describe engineering substitutions of quite different kinds, none of which follows from any equivalence theorem, and confusing them with it leads to errors of principle.

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