# pol2circpol

Convert linear component representation of field to circular component representation

## Syntax

``cfv = pol2circpol(fv)``

## Description

example

````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.```

## Examples

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Express a 45° linear polarized field in terms of right-circular and left-circular components.

`fv = [2;2]`
```fv = 2×1 2 2 ```
`cfv = pol2circpol(fv)`
```cfv = 2×1 complex 1.4142 - 1.4142i 1.4142 + 1.4142i ```

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.

`fv=[1+1i 1;-1+1i 1]`
```fv = 2×2 complex 1.0000 + 1.0000i 1.0000 + 0.0000i -1.0000 + 1.0000i 1.0000 + 0.0000i ```
`cfv = pol2circpol(fv)`
```cfv = 2×2 complex 1.4142 + 1.4142i 0.7071 - 0.7071i 0.0000 + 0.0000i 0.7071 + 0.7071i ```

## Input Arguments

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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`.

Example: `[1;-i]`

Example: ```2 + pi/3*i```

Data Types: `double`
Complex Number Support: Yes

## Output Arguments

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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`.

 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.