# patternFromSlices

Reconstruct approximate 3-D radiation pattern from two orthogonal slices

## Syntax

## Description

`patternFromSlices(`

plots the approximate 3-D pattern reconstructed from the input data containing the 2-D
pattern along the vertical and horizontal plane as well as the polar and azimuthal angles
in the spherical coordinates.`vertislice`

,`theta`

,`horizslice`

,`phi`

)

`patternFromSlices(`

plots the approximate 3-D pattern with the horizontal slice provided as a real-valued
scalar. The syntax assumes that the antenna is omnidirectional with symmetry about the
Z-axis.`vertislice`

,`theta`

,`horizslice`

)

`patternFromSlices(`

plots the approximate 3-D pattern reconstructed from only vertical pattern data, assuming
of azimuthal omni directionality and that horizontal pattern data is equal to maximum
value of vertical pattern data.`vertislice`

,`theta`

)

`[___] = patternFromSlices(___,`

specifies options using one or more name-value arguments in addition to any of the input
argument combinations in previous syntaxes. For example, you can specify the customization
and tuning options to the pattern reconstruction method.`Name=Value`

)

## Examples

## Input Arguments

## Output Arguments

## Limitations

The summing method does not always reliably approximate the 3-D pattern in the backplane. It works effectively for the azimuthally omnidirectional patterns, as the front plane and the backplane are symmetrical about the z-axis.

The cross-weighted method can be used to approximate the 3-D pattern in both the front plane and backplane, but the accuracy or robustness is typically best for the main radiation lobe in the front plane.

Both the summing and the cross-weighted methods do not utilize vertical pattern slice data from the backplane (that is

`theta`

≥ 180°). If you provide backplane vertical slice and theta data, the`patternFromSlices`

function discards it. However, the`patternFromSlices`

function uses all the horizontal pattern and front plane vertical pattern slice data.

## More About

## References

[1] Makarov, Sergey N.
*Antenna and Em Modeling in MATLAB*. Chapter3, Sec 3.4 3.8. Wiley
Inter-Science.

[2] Balanis, C.A. *Antenna
Theory, Analysis and Design*, Chapter 2, sec 2.3-2.6, Wiley.

[3] T. G. Vasiliadis, A. G. Dimitriou
and G. D. Sergiadis, "A novel technique for the approximation of 3-D antenna radiation
patterns," in *IEEE Transactions on Antennas and
Propagation*, July 2005, vol. 53, no. 7: pp. 2212-2219.

[4] N. R. Leonor, R. F. S.
Caldeirinha, M. G. Sánchez and T. R. Fernandes, "A Three-Dimensional Directive Antenna Pattern
Interpolation Method," in *IEEE Antennas and Wireless Propagation
Letters*, 2016, vol. 15, pp. 881-884.

## Version History

**Introduced in R2019a**