cfv = pol2circpol(fv) converts
the linear polarization components of the field or fields contained
in fv to their equivalent circular polarization
components in cfv. The expression of a field
in terms of a two-row vector of linear polarization components is
called the Jones vector formalism.

Specify two input fields [1+1i;-1+1i] and [1;1] in
the same matrix. The first field is a linear representation of a left-circularly
polarized field and the second is a linearly polarized field.

Field vector in its linear component representation specified
as a 1-by-N complex row vector or a 2-by-N complex
matrix. If fv is a matrix, each column in fv represents
a field in the form of [Eh;Ev], where Eh and Ev are
the field's horizontal and vertical polarization components.
If fv is a vector, each entry in fv is
assumed to contain the polarization ratio, Ev/Eh.
For a row vector, the value Inf designates the
case when the ratio is computed for a field with Eh = 0.

Field vector in circular component representation returned as
a 1-by-N complex-valued row vector or 2-by-Ncomplex-valued
matrix. cfv has the same dimensions as fv.
If fv is a matrix, each column of cfv contains
the circular polarization components, [El;Er],
of the field where El and Er are
the left-circular and right-circular polarization components. If fv is
a row vector, then cfv is also a row vector and
each entry in cfv contains the circular polarization
ratio, defined as Er/El.

References

[1] Mott, H., Antennas for Radar and Communications,
John Wiley & Sons, 1992.

[2] Jackson, J.D. , Classical Electrodynamics,
3rd Edition, John Wiley & Sons, 1998, pp. 299–302

[3] Born, M. and E. Wolf, Principles of Optics,
7th Edition, Cambridge: Cambridge University Press, 1999, pp 25–32.