# polellip

Parameters of ellipse traced out by tip of a polarized field vector

## Syntax

## Description

returns
the tilt angle, in degrees, of the polarization ellipse of a field
or set of fields specified in `tau`

= polellip(`fv`

)`fv`

. `fv`

contains
the linear polarization components of a field in either one of two
forms: (1) each column represents a field in the form of `[Eh;Ev]`

,
where `Eh`

and `Ev`

are the field’s
horizontal and vertical linear polarization components or (2) each
column contains the polarization ratio, `Ev/Eh`

.
The expression of a field in terms of a two-row vector of linear polarization
components is called the *Jones vector formalism*.

`[`

returns, in addition,
a row vector, `tau`

,`epsilon`

]
= polellip(`fv`

)`epsilon`

, containing the ellipticity
angle (in degrees) of the polarization ellipses. The ellipticity
angle is the angle determined by the ratio of the length of the semi-minor
axis to semi-major axis and lies in the range `[-45°,45°]`

.
This syntax can use any of the input arguments in the previous syntax.

`[`

returns, in addition,
a row vector, `tau`

,`epsilon`

,`ar`

]
= polellip(`fv`

)`ar`

, containing the axial ratios
of the polarization ellipses. The axial ratio is defined as the ratio
of the lengths of the semi-major axis of the ellipse to the semi-minor
axis. This syntax can use any of the input arguments in the previous
syntaxes.

`[`

returns, in addition,
a cell array of character vectors, `tau`

,`epsilon`

,`ar`

,`rs`

]
= polellip(`fv`

)`rs`

, containing
the rotation senses of the polarization ellipses. Each entry in the
array is one of `'Linear'`

, `'Left Circular'`

, ```
'Right
Circular'
```

, `'Left Elliptical'`

or ```
'Right
Elliptical'
```

. This syntax can use any of the input arguments
in the previous syntaxes.

## Examples

## Input Arguments

## Output Arguments

## 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.

## Extended Capabilities

## Version History

**Introduced in R2013a**

## See Also

`circpol2pol`

| `pol2circpol`

| `polratio`

| `stokes`