fractal antennas

WELCOME

FRACTAL ANTENNAS

LINSY V VNo : 16ELS5

To provide a study of different fractal antenna with an overview of recent developments

OBJECTIVE

Fractal antenna theory – a new area “fractal ” means broken or irregular fragments “Family of complex shapes that possess an inherent

self similarity or self affinity in their geometrical structure”

Came from unique occurances in nature

FRACTAL ANTENNA – AN INTRODUCTION

FRACTAL ANTENNA

Suggests some attractive solutions for using single small antenna needed for different frequency bands (multiband operation)

Size, area and mass reduction (miniaturization) The effective length of the antenna can be increased

keeping the total area same

FRACTAL ANTENNA

The shape can be formed by iterative mathematical process called IFS

Based on series of affine transformationsw(x,y) = (ax+by+e, cx+dy+f)○ a,b,c,d control rotation and scaling○ e , f control linear translation

Repeatedly applying W to the previous geometryfractal geometry

A1=W(A0); A2 = W (A1);……..

GEOMETRY OF FRACTALS

IFS generated a sequence that converges to a final image

More no. of iterations increase in effective length decrease in resonant frequency

Fractal geometry used in most of the works:◦Koch fractal◦ Sirepinski fractal◦Koch island fractal

GEOMETRY OF FRACTALS

A four iteration Koch fractal

A three iteration Sirepinski fractal

A three iteration Koch island

Achieving lower fr with reduced length is miniaturization

Fractal geometry comprise larger antenna length in a smaller volume

HOW MINIATURIZATION ?

A single antenna operating in two or more freuquency bands multiband operation

Antenna elements operating in different frequency used

In fractal antenna coupling between sharp angles produce different current paths achieving multi band operation

HOW MULTIBAND OPERATION?

Loop antenna needs more space

Small loop◦ low input resistance-◦mismatch to the

transmission line

FRACTAL LOOP ANTENNAS

KOCH LOOP• A koch loop can be used loop antenna• Perimeter gets increased maintaining the same

volume • less volume required for resonance• input impedance improved

Multiple bands controlled by scale factors Flare angle controls the frequency shift Models developed to predict the performance

SIREPINSKI MONOPOLE AND DIPOLE

Antenna array : to improve the gain Random fractal used to generate array configuration

between periodic and random Low side lobe (feature of periodic array ) Robust (feature of random array) four stage linear Cantor array

FRACTAL ANTENNA ARRAY

An overview of fractal antenna theory was presented Small sized, lo profile and low weight antennas can be

developed by using fractal geometries Being in early stage of development more innovations

to come in the future

CONCLUSION

ANY QUASTIAN ?