fractalCarpet

Create Sierpinski's carpet fractal antenna

Description

The `fractalCarpet` object creates a Sierpinski's carpet fractal antenna. These fractal antennas are used in mobile phone and Wi-Fi® communications.

A fractal antenna uses a self-similar design to maximize the length or increase the perimeter of a material that transmits or receives electromagnetic radiation within a given volume or area. The main advantage of fractal antennas is that they are compact, which is an important requirement for small and complex circuits. Fractal antennas also have more input impedance or resistance due to increased length or perimeter.

All fractal antennas are printed structures that are etched on a dielectric substrate.

Creation

Syntax

``ant = fractalCarpet``
``ant = fractalCarpet(Name,Value)``

Description

example

````ant = fractalCarpet` creates a Sierpinski’s carpet fractal antenna. The default fractal is centered at the origin, and the number of iterations is set to 2. The length of the fractal is for an operating frequency of 5.45 GHz.```

example

````ant = fractalCarpet(Name,Value)` sets properties using one or more name-value pairs. For example, `ant = fractalCarpet('NumIterations',4)` creates a Sierpinski's carpet with four iterations.```

Properties

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Number of iterations performed on the fractal antenna, specified as a scalar integer.

Example: `'NumIterations',4`

Example: `ant.NumIterations = 4`

Data Types: `double`

Length of the fractal carpet along the x-axis, specified as a positive scalar integer in meters.

Example: `'Length',0.5000`

Example: `ant.Length = 0.5000`

Data Types: `double`

Width of the fractal carpet along the y-axis, specified as a positive scalar integer in meters.

Example: `'Width',0.0050`

Example: `ant.Width = 0.0050`

Data Types: `double`

Height of the fractal carpet above the ground plane along the z-axis, specified as a positive scalar integer in meters.

Example: `'Height',0.0034`

Example: `ant.Height = 0.0034`

Data Types: `double`

Width of the feeding strip line, specified as a positive scalar integer in meters.

Example: `'StripLineWidth',0.0050`

Example: `ant.StripLineWidth = 0.0050`

Data Types: `double`

Type of dielectric material used as a substrate, specified as a dielectric object. For more information, see `dielectric`.

Example: `d = dielectric('FR4');` `ant = fractalCarpet('Substrate',d)`

Example: `d = dielectric('FR4');` `ant = fractalCarpet;` `ant.Substrate = d;`

Data Types: `string` | `char`

Length of the ground plane, specified as a positive scalar integer in meters.

Example: `'GroundPlaneLength',0.0550`

Example: `ant.GroundPlaneLength = 0.0550`

Data Types: `double`

Width of the ground plane, specified as a positive scalar integer in meters.

Example: `'GroundPlaneWidth',0.0550`

Example: `ant.GroundPlaneWidth = 0.0550`

Data Types: `double`

Signed distance of the fractal carpet center from the origin, specified as a two-element real-valued vector with each element unit in meters.

Example: `'FractalCenterOffset',[0 0.080]`

Example: ```ant.FractalCenterOffset = [0 0.080]```

Data Types: `double`

Signed distance of the feed from the origin, specified as a two-element real-valued vector with each element unit in meters.

Example: `'FeedOffset',[0 0.080]`

Example: `ant.FeedOffset = [0 0.080]`

Data Types: `double`

Type of the metal used as a conductor, specified as a metal material object. You can choose any metal from the `MetalCatalog` or specify a metal of your choice. For more information, see `metal`. For more information on metal conductor meshing, see Meshing.

Example: ```m = metal('Copper'); 'Conductor',m```

Example: ```m = metal('Copper'); ant.Conductor = m```

Lumped elements added to the antenna feed, specified as a lumped element object. You can add a load anywhere on the surface of the antenna. By default, the load is at the origin. For more information, see `lumpedElement`.

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

Example: ```ant.Load = lumpedElement('Impedance',75)```

Tilt angle of the antenna in degrees, specified as a scalar or vector. For more information, see Rotate Antennas and Arrays.

Example: `90`

Example: `Tilt=[90 90]`,`TiltAxis=[0 1 0;0 1 1]` tilts the antenna at 90 degrees about the two axes defined by the vectors.

Data Types: `double`

Tilt axis of the antenna, specified as one of these values:

• Three-element vector of Cartesian coordinates in meters. In this case, each coordinate in the vector starts at the origin and lies along the specified points on the x-, y-, and z-axes.

• Two points in space, specified as a 2-by-3 matrix corresponding to two three-element vectors of Cartesian coordinates. In this case, the antenna rotates around the line joining the two points.

• `"x"`, `"y"`, or `"z"` to describe a rotation about the x-, y-, or z-axis, respectively.

Example: `[0 1 0]`

Example: `[0 0 0;0 1 0]`

Example: `"Z"`

Data Types: `double` | `string`

Object Functions

 `axialRatio` Calculate and/or plot axial ratio of antenna or array `bandwidth` Calculate and/or plot absolute bandwidth of antenna `beamwidth` Beamwidth of antenna `charge` Charge distribution on antenna or array surface `current` Current distribution on antenna or array surface `design` Design prototype antenna or arrays for resonance around specified frequency or create AI-based antenna from antenna catalog objects `efficiency` Radiation efficiency of antenna `EHfields` Electric and magnetic fields of antennas or embedded electric and magnetic fields of antenna element in arrays `impedance` Input impedance of antenna or scan impedance of array `info` Display information about antenna, array, or platform `memoryEstimate` Estimate memory required to solve antenna or array mesh `mesh` Mesh properties of metal, dielectric antenna, or array structure `meshconfig` Change meshing mode of antenna, array, custom antenna, custom array, or custom geometry `optimize` Optimize antenna or array using SADEA optimizer `pattern` Plot radiation pattern and phase of antenna or array or embedded pattern of antenna element in array `patternAzimuth` Azimuth plane radiation pattern of antenna or array `patternElevation` Elevation plane radiation pattern of antenna or array `rcs` Calculate and plot monostatic and bistatic radar cross section (RCS) of platform, antenna, or array `resonantFrequency` Calculate and/or plot resonant frequency of antenna `returnLoss` Return loss of antenna or scan return loss of array `show` Display antenna, array structures, shapes, or platform `sparameters` Calculate S-parameters for antennas and antenna arrays `vswr` Voltage standing wave ratio (VSWR) of antenna or array element

Examples

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Create and view a Sierpinski's carpet fractal antenna with default property values.

`ant = fractalCarpet`
```ant = fractalCarpet with properties: NumIterations: 2 Length: 0.0280 Width: 0.0370 StripLineWidth: 0.0030 FeedOffset: [-0.0240 -0.0020] Height: 0.0016 Substrate: [1x1 dielectric] GroundPlaneLength: 0.0480 GroundPlaneWidth: 0.0480 FractalCenterOffset: [0 0] Conductor: [1x1 metal] Tilt: 0 TiltAxis: [1 0 0] Load: [1x1 lumpedElement] ```
`show(ant)`

Create and view a Sierpinski's carpet fractal antenna on FR4 substrate.

```ant = fractalCarpet('Substrate',dielectric('FR4')); show(ant)```

Plot the radiation pattern of the antenna at 5.45 GHz.

`pattern(ant,5.45e9)`

Version History

Introduced in R2019a