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# polratio

Ratio of vertical to horizontal linear polarization components of a field

## Description

example

p = polratio(fv) returns the ratio of the vertical to horizontal component of the field or set of fields contained in fv.

Each column of fv contains the linear polarization components of a field in the form [Eh;Ev], where Eh and Ev are the field's linear horizontal and vertical polarization components. The expression of a field in terms of a two-row vector of linear polarization components is called the Jones vector formalism. The argument fv can refer to either the electric or magnetic part of an electromagnetic wave.

Each entry in p contains the ratio Ev/Eh of the components of fv.

## Examples

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### Polarization Ratio for 45° Linearly Polarized Field

Determine the polarization ratio for a linearly polarized field (when the horizontal and vertical components of a field have the same phase).

```fv = [2 ; 2];
p = polratio(fv)
```
```p =

1```

The resulting polarization ratio is real. The components also have equal amplitudes so the polarization ratio is unity.

### Polarization Ratios for Two Fields

Pass two fields via a single matrix. The first field is [2;i], while the second is [i;1].

```fv = [2 , i; i, 1];
p = polratio(fv)
```
```p =

0 + 0.5000i        0 - 1.0000i```

### Polarization Ratio for Vertically Polarized Field

Determine the polarization ratio for a vertically polarized field (when the horizontal component of the field vanishes).

```fv = [0 ; 2];
p = polratio(fv)
```
```p =

Inf```

The polarization ratio is infinite as expected from Ev/Eh.

## Input Arguments

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### fv — Field vector in linear component representation2-by-N complex-valued matrix

Field vector in linear component representation specified as a 2-by-N complex-valued matrix. Each column of fv contains an instance of a field specified by [Eh;Ev], where Eh and Ev are the field's linear horizontal and vertical polarization components. Two rows of the same column cannot both be zero.

Example: [2 , i; i, 1]

Data Types: double
Complex Number Support: Yes

## Output Arguments

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### p — Polarization ratio1-by-N complex-valued row vector

Polarization ratio returned as a 1-by-N complex-valued row vector. p contains the ratio of the components of the second row of fv to the first row, Ev/Eh.

## 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.