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# circpol2pol

Convert circular component representation of field to linear component representation

## Syntax

``fv = circpol2pol(cfv)``

## Description

example

````fv = circpol2pol(cfv)` converts the circular polarization components of the field or fields contained in `cfv` to their linear polarization components contained in `fv`. Any polarized field can be expressed as a linear combination of horizontal and vertical components.```

## Examples

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Convert a horizontally polarized field, originally expressed in circular polarization components, into linear polarization components.

```cfv = [1;1]; fv = circpol2pol(cfv)```
```fv = 2×1 1.4142 0 ```

The vertical component of the output is zero for horizontally polarized fields.

Create a right circularly polarized field. Compute the circular polarization ratio and convert to a linear polarization ratio equivalent. Note that the input circular polarization ratio is `Inf`.

```cfv = [0;1]; q = cfv(2)/cfv(1); p = circpol2pol(q)```
```p = 0.0000 - 1.0000i ```

## Input Arguments

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Field vector in its circular polarization representation specified as a 1-by-N complex row vector or a 2-by-N complex matrix. If `cfv` is a matrix, each column represents a field in the form of `[El;Er]`, where `El` and `Er` are the left and right circular polarization components of the field. If `cfv` is a row vector, each column in `cfv` represents the polarization ratio, `Er/El`. For a row vector, the value `Inf` can designate the case when the ratio is computed for `El = 0`.

Example: [1;-1]

Data Types: `double`
Complex Number Support: Yes

## Output Arguments

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Field vector in linear polarization representation or Jones vector returned as a 1-by-N complex-valued row vector or 2-by-N complex-valued matrix. `fv` has the same dimensions as `cfv`. If `cfv` is a matrix, each column of `fv` contains the horizontal and vertical linear polarization components of the field in the form, `[Eh;Ev]`. If `cfv` is a row vector, each entry in `fv` contains the linear polarization ratio, defined as `Ev/Eh`.

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

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

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

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