
A pair of real vectors  one as a real part and the second as an imaginary part defines the Complex Vector.
B = B_{Re} + i·B_{Im}.
The canonical form for the complex vector is:
B = ·e^{iφ},
where
φ  phase,
B_{x} and B_{y} are real components of the magnitude vector, and
k is a coefficient of polarization (1≤k≤1).
Coefficient of polarization is k = B_{min} / B_{max}.
k=0 corresponds to linear polarization along the direction defined by the vector (B_{x}, B_{y}). The k=1 corresponds to the counterclockwise circular polarization, k=1 corresponds to the clockwise circular polarization.
B_{max} = is a real magnitude of the complex vector, it corresponds to the maximum momentary value of timedependent B.
RMS value of complex vector is: B_{RMS} =
Related Topics
Complex Value.