B =
·eiφ,
where
φ - phase,
Bx and By are real components of the magnitude vector, and
k is a coefficient of polarization (-1≤k≤1).
A pair of real vectors - one as a real part and the second as an imaginary part defines the Complex Vector.
B = BRe + i·BIm.
The canonical form for the complex vector is:
B = ·eiφ,
where
φ - phase,
Bx and By are real components of the magnitude vector, and
k is a coefficient of polarization (-1≤k≤1).
Coefficient of polarization is k = Bmin / Bmax.
k=0 corresponds to linear polarization along the direction defined by the vector (Bx, By). The k=1 corresponds to the counterclockwise circular polarization, k=-1 corresponds to the clockwise circular polarization.
Bmax = 
is a real magnitude of the complex vector, it corresponds to the maximum momentary value of time-dependent B.
RMS value of complex vector is: BRMS = 
Related Topics
Complex Value.