# Documentation

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# loopRectangular

Create rectangular loop antenna

## Description

The `loopRectangular` object is a rectangular loop antenna on the X-Y plane.

The thickness of the loop is related to the diameter of an equivalent cylinder loop by the equation

`$t=2d=4r$`
, where:

• d is the diameter of equivalent cylindrical loop

• r is the radius of equivalent cylindrical loop

For a given cylinder radius, use the `cylinder2strip` utility function to calculate the equivalent width. The default circular loop antenna is fed at the positive Y-axis. The point of the Y-axis is the midpoint of the inner and outer perimeter of the loop.

## Creation

### Syntax

``h = loopRectangular``
``h = loopRectangular(Name,Value)``

### Description

``` `h = loopRectangular` creates a rectangular loop antenna in the X-Y plane. By default, the dimensions are chosen for the operating frequency 53 MHz.```

example

``` `h = loopRectangular(Name,Value)` creates a rectangular loop antenna, with additional properties specified by one, or more name-value pair arguments. `Name` is the property name and `Value` is the corresponding value. You can specify several name-value pair arguments in any order as `Name1`, `Value1`, `...`, `NameN`, `ValueN`. Properties not specified retains their default values.```

## Properties

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Loop length along x-axis, specified as sa scalar in meters.

Example: `'Length',3`

Data Types: `double`

Loop width along y-axis, specified as a scalar in meters.

Example: `'Width',2`

Data Types: `double`

Loop thickness, specified as a scalar in meters.

Example: `'Thickness',2`

Data Types: `double`

Lumped elements added to the antenna feed, specified as a lumped element object handle. For more information, see `lumpedElement`.

Example: `'Load',lumpedelement`. `lumpedelement` is the object handle for the load created using `lumpedElement`.

Tilt angle of antenna, specified as a scalar or vector with each element unit in degrees.

Example: `'Tilt',90`

Example: `'Tilt',[90 90 0]`

Data Types: `double`

Tilt axis of the antenna, specified as:

• A three-element vector of Cartesian coordinates in meters. In this case, each vector starts at the origin and lies along the specified points on the X, Y, and Z axes.

• Two points in space as three-element vectors of Cartesian coordinates. In this case, the antenna rotates along the line joining the two points.

• A string input for simple rotations around the principal planes, X, Y, or Z.

Example: `'TiltAxis',[0 1 0]`

Example: `'TiltAxis',[0 0 0;0 1 0]`

Example: `'TiltAxis','Z'`

Data Types: `double`

## Object Functions

 `show` Display antenna or array structure; Display shape as filled patch `info` Display information about antenna or array `axialRatio` Axial ratio of antenna `beamwidth` Beamwidth of antenna `charge` Charge distribution on metal or dielectric antenna or array surface `current` Current distribution on metal or dielectric antenna or array surface `design` Design prototype antenna for resonance at specified frequency `EHfields` Electric and magnetic fields of antennas; Embedded electric and magnetic fields of antenna element in arrays `impedance` Input impedance of antenna; scan impedance of array `mesh` Mesh properties of metal or dielectric antenna or array structure `meshconfig` Change mesh mode of antenna structure `pattern` Radiation pattern of antenna or array; Embedded pattern of antenna element in array `patternAzimuth` Azimuth pattern of antenna or array `patternElevation` Elevation pattern of antenna or array `returnLoss` Return loss of antenna; scan return loss of array `sparameters` S-parameter object `vswr` Voltage standing wave ratio of antenna

## Examples

expand all

Create and view a rectangular loop antenna with 0.64m length, 0.64m width.

`r = loopRectangular('Length',0.64,'Width',0.64)`
```r = loopRectangular with properties: Length: 0.6400 Width: 0.6400 Thickness: 0.0100 Tilt: 0 TiltAxis: [1 0 0] Load: [1x1 lumpedElement] ```
`show(r)`

Calculate the impedance of a rectangular loop antenna over a frequency range of 120MHz-140MHz.

`r = loopRectangular('Length',0.64,'Width',0.64) `
```r = loopRectangular with properties: Length: 0.6400 Width: 0.6400 Thickness: 0.0100 Tilt: 0 TiltAxis: [1 0 0] Load: [1x1 lumpedElement] ```
`impedance(r,linspace(120e6,140e6,31))`

## References

[1] Balanis, C.A. Antenna Theory. Analysis and Design, 3rd Ed. New York: Wiley, 2005.