Fractal PPT

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FRACTAL GEOMETRYFRACTAL GEOMETRY

APPLICATIONS IN MEMSAPPLICATIONS IN MEMS

NEERAJA JOHNR.No: 16



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Introduction

● FRACTALS

– Self similar designs.

– Fractal geometr is !sed for se"eral

electronic a##lications.

– Fractals #ossess man interesting and

e$tremel !sef!l #ro#erties.

● Com#act

● Self scaling...



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Introduction●

%E%S – %iniat!ri&ed mec'anical and

electromec'anical de"ices and

str!ct!res.

– (erformance e$ceeds t'ose of t'eir

macroscale co!nter#arts.

– Same fa)rication tec'ni*!es similar to +Cs

● (ro#erties of fractal geometr !sed in %E%S

tec'nolog largel



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Contents

● Fractal geometr

● %E%S tec'nolog

● A##lications Re"ie,



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Fractal Geometry

● H+STOR-

– First a##earance of fractal geometr ,or) /. %andel)rot : 0T'e Fractal

eometr of Nat!re2 1345 – %an ,ors a##eared later on,ards in

di"erse field:

● En"ironmental st!dies

● Economics● +mage #rocessing

● Comm!nication

● Nanotec'nolog %E%S



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Fractal Geometry

● 7EF+N+T+ON

– Fractals #ro"ide a ,ora)le middlegro!nd )et,een geometric order and

geometric c'aos – Ordered or organi&ed geometric c'aos

– C'aracteri&ed ) smmetries ,'ic' donot "ar !nder dilation and8or

contractions – 0%at'ematical and nat!ral fractals are

s'a#es ,'ose ro!g'ness andfragmentation remain !nc'anged as one

&ooms in contin!all2



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Fractal Geometry

● (RO(ERT+ES

– Self similar str!ct!res

● Eac' #art is a geometric red!ction

of t'e ,'ole.● Same red!ction ratio in all

directions.

● E$am#le: Sier#insi aset

● %a incl!de self affine str!ct!resalso

– Red!ction ratios are differentin different directions



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Fractal Geometry



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Fractal Geometry

● (RO(ERT+ES

– Sim#le r!les can generate ric'str!ct!res

● Algorit'ms t'at generate fractals are"er m!c' s'ort9sim#le.

● Algorit'ms in"ol"es loo#s

● O!t#!ts ,ill )e fractals of ric'str!ct!res.

● T'is sim#licit is t'e e to fractalgeometr;s effecti"eness

● e.g +FS algorit'm



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Fractal Geometry



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Fractal Geometry

● (RO(ERT+ES

– Self Assem)l

● Nat!ral gro,t' #rocesses e$'i)it

fractal geometr● Can )e !sed in fa)rication

#rocesses

● %ore efficient at assem)ling "ast

n!m)ers of com#onents● Constr!cts circ!its ) t'e addition of

material rat'er t'an t'e ,astef!lremo"al of material



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Fractal Geometry

● (RO(ERT+ES

– H!ge s!rface area or #erimeter

● For e$am#le can )e !sed to design

solar cells● T,o merging #atterns connect toget'er

"er efficientl

● En'anced information #rocessing



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Fractal Geometry

● 7+FFERENT FRACTAL STR<CT<RES

– T'e "on =oc' c!r"e

● =oc' islands

– Cantor set – T'e Sier#insi triangle or gaset

– T'e Sier#insi car#et

–

J!lia set



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Fractal Geometry-Alications

● FRACTAL CA(AC+TORS

– %ae !se of lateral fl!$

–

Hig'er ca#acitance densit



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● FRACTAL ANTENNA

– %an antenna sstem com#onents can )emade !sing fractals.

●

Loads● Co!nter#oises

● ro!nd #lanes

● Fractal ind!ctors

● Fractal resonators

● Fractal filters

– E$cellent #erformance at man fre*!ecies



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● FRACTAL ANTENNA

– >er com#act

– %!lti)and or ,ide)and

– (erimeter of material t'at can recei"e ortransmit E% radiation ,it'in a gi"ens!rface area is increased

– Larger resonant fre*!encies9?@H&

– Can )e assimilated into +Cs

– A##lications:

● Smart#'ones RF %E%S electronics

● Satellite comm!nication etc.



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Fractal Geometry in MEMS

● %E%S

– %icro Electro %ec'anical Sstems

– %iniat!ri&ed mec'anical and electroB

mec'anical elements – ('sical dimensions of %E%S de"ices

are )elo, one micron

– %!lti#le mo"ing elements !nder t'e

control of integrated microelectronic – (erformances e$ceeding t'ose of t'eir

macroscale co!nter#arts



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● %E%S

– Same fa)rication tec'ni*!es similar to +Cs

●

%E%S str!ct!res can !tili&e fractals to im#ro"et'eir #erformance

● %ain moti"ation: Reconfig!ra)ilit



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● Fractal ca#acitors a##lied to %E%S format

– Ca#acitance can )e generated in singlelaer far from s!)strate.

–

Significantl red!ces #arasitic ca#acitance – +ncreaes Bfactor and resonant fre*!enc

– Fractal str!ct!res increases ca#acitancedensit

– Commonl em#loed fractal s'a#es:

● %oore;s fractal

● =oc' +slands



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● Fractal antennas a##lied to %E%S format

– Antenna elements are s'a#ed into afractal geometr

–

RF %E%S s,itc'es !sed to interconnect#ortions of fractal geometr

– T'!s creating reconfig!ra)le antennas

– Electronic steering of t'e radiation

#atterns are #ossi)le – Commonl em#loed fractal s'a#es:

● =oc' fractals

– Si&e red!ction and )and,idt' increase



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● TOOLS

– CA7 Lao!t generators

● Acce#ts a tec'nolog file and a

fractal li)rar in#!t● 7esired area and final s'a#e is

#ro"ided ) !ser

– SE%!lator57

● i"es 57 isometric "ie, of gnerated#atterns

– CO%SOL

● Finite element soft,are #acage



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O!er!ie"

● %an st!dies are #rogressing in t'is field

● Fractal a#lications in %E%S de"ices 'a"eim#ro"ed #erformance

● 7ifferent tools aid !s in genrating andsim!latin t'e fractal str!ct!res



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!estionsD



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Fractal PPT

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