Fractal Antennas

Sierpinski gasket and carpet, Koch dipole and snowflake and, Minkowski's Island

Fractal Antenna Catalog

			$Koch curve fractal antenna$	$Snowflake fractal antenna$
`fractalCarpet`	`fractalGasket`	`fractalIsland`	`fractalKoch`	`fractalSnowflake`	Antenna Element Catalog

Fractal antennas use self similar designs to maximize the length, or increase the perimeter of material that can receive or transmit electromagnetic radiation within a given total surface area or volume. Fractal antennas are printed structures that is they are etched on a dielectric substrate.

The main advantage of fractal antennas are:

Reduced space requirement because of the compact size.
Higher input resistance because of increase in length or perimeter.

Apps

Antenna Designer	Design, visualize, and analyze antennas
Antenna Array Designer	Design, visualize, and analyze arrays

Objects

`fractalKoch`	Create Koch curve fractal dipole or loop antenna on xy- plane
`fractalGasket`	Create Sierpinski's Gasket fractal antenna on xy- plane
`fractalCarpet`	Create Sierpinski's carpet fractal antenna
`fractalIsland`	Minkowski's loop fractal antenna
`fractalSnowflake`	Create fractal Koch snowflake antenna (Since R2020a)

Functions

`show`	Display antenna, array structures, shapes, or platform
`info`	Display information about antenna, array, or platform
`design`	Design prototype antenna or arrays for resonance around specified frequency or create AI-based antenna from antenna catalog objects

Featured Examples

Multiband Nature and Miniaturization of Fractal Antennas

Analyze the multi band characteristics of fractal antennas and compare the size of fractal antennas with conventional antennas. The term fractal means irregular fragment. A Fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is a reduced size of the whole. Fractal geometries are applied to antenna elements which aids in creating antennas of compact size and multi band behavior. These characteristics are required in small and complex circuits. Fractal antennas are multiband, high gain, low profile antennas. They are compact relative to the conventional antennas because of their efficient space filling nature.

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Modified Sierpinski Monopole Fractal Antenna for Dual-Band Application

Model and analyze a second-order modified Sierpinski fractal antenna in a monopole configuration using Antenna Toolbox™ software. A single triangular Sierpinski cell is the basic building block of the Sierpinski fractal antenna. In this example, you construct a second order modified Sierpinski fractal antenna by fractalizing a single Sierpinski cell embedded with a diamond shape in two iterations. The triangle and the diamond have the same ratios throughout the process. The modified design has a reduced footprint in terms of the overall dimensions and the quantity of metal conductor compared to a normal second-order Sierpinski fractal antenna. The order of fractalization determines the number of resonant frequencies of the antenna.

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