# fractalSnowflake

## Description

The `fractalSnowflake`

object creates a Koch snowflake
fractal antenna. These fractal antennas are used in mobile phone, Wi-Fi^{®}, and radar applications.

A fractal antenna uses a fractal, a self-similar design that is repeated in different dimensions so as to maximize effective the length or increase the perimeter of the material that transmits or receives electromagnetic radiation. This makes the fractal antennas compact and therefore suitable for use in small and complex circuits. Fractal antennas also have higher input impedance or resistance due to their length or increased perimeter.

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

## Creation

### Description

creates a
Koch’s snowflake 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 4.15 GHz.`ant`

= fractalSnowflake

sets properties using one or more name-value pairs. For example,
`ant`

= fractalSnowflake(Name,Value)`ant = fractalSnowflake('Numiterations',4)`

creates a
Koch's snowflake with four iterations.

## Properties

## 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 |

`current` | Current distribution on antenna or array surface |

`charge` | Charge 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

## Version History

**Introduced in R2020a**