University of Cincinnati--ECECS Department
Duality
Prepared by: Prof.Altan M. Ferendeci

Duality of Eletric and Magnetic Currents


Loop Antennas

Duality of fields can be understood by referring to the series and parallel AC ciruits as shown in the figure below

As can be seen from this figure that the series LR ciruit is the dual of CG parallel (shunt) circuit. One to one correspondence is

Therefore the series and parallel ciruits are considred dual of each other.

Maxwell's equations acan be written as

If now the same equtions are written in the terms of the magnetic current M in the form

One can then write the equivelance of the fields and parameters for the two cases as

J
M
E1
H2
-H1
E2
e1
m2
m1
e2

  • Far fields of Loop Antenna using the Duality Principle.