Fractal Antennas
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Transcript of 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 ?