Microstrip Antenna ppt

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     DESIGN OPTIMIZATION OF

     MICROSTRIP FED

     RECTANGULAR MICROSTRIP

     ANTENNA USING

     DIFFERENTIAL EVOLUTION 

     ALGORITHM 

    By

    Malay Gangopadhyay, Bhaskar Gupta,

    Pinaki Mukherjee, Suvrajit Manna andUdit Sharma

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    INTRODUCTION

     Motivation for the

    work 

    The motivation behind thiswork is to design a simple

    structure of a microstrip

    antenna using inset feed

    mechanism which radiates

    exactly at the target frequency

    of designed antenna

     parameters with best possible

    impedance matching,

    significant gain and good

    radiation efficiency.

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    OBJECTIVE

    Objective – The objective of the work isto optimize the dimensions of amicrostrip inset fed patch antenna for

    desired resonant frequenc and return!oss"

    Method adopted – Di#erentia! evo!utiona!$orithm"

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    %I&TOR'

    (irst deve!oped b Deschamps in )*+,-ear!iest known rea!ization of .icrostripstructure"

    (irst patent obtained b /utton and0ussinot in )*++"

    1ractica!! deve!oped b .unson and

    %owe!! in the )*23s"

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    .icrostrip 1atch 4ntenna

    Narrowband5 !ow pro6!e antenna

    &ma!! and conforma! in size  It consists of a conductin$ patch

    on one side of a die!ectricsubstrate with a $round p!ane onthe other side"

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    4118IC4TION& O( .&4

    &ate!!ite communications5 directbroadcast services 9D0&:

    &ate!!ite navi$ation receivers .obi!e radio9pa$ers5 te!ephone: /!oba! 1ositionin$ &stem 9/1&: 0!uetooth automotive app!ications with

    R%C1 &ate!!ite Di$ita! 4udio Radio &ervices

    9&D4R&:

    4nd man more;

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    4D

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    DI&4D

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    8IN= (==D .=C%4NI&.& (OR .&4

    Microstrip line feed

    Advantages> Impedance matchin$ and  fabrication become easier" .ono!ithic"Disadvantages> spurious radiation"

    Microstrip line

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    Dierent !volutionary Algorithm

    Introduced b &torn and 1rice in )**?" &tochastic popu!ation based optimization

    a!$orithm, deve!oped to optimize rea! parametersand rea! va!ued functions"

    /4 on crossover5 whereas5 D= on mutation It aims at evo!vin$ a popu!ation of M-dimensiona!

    parameter vectors5 so-ca!!ed individua!s5 towardsachievin$ the $!oba! optimum" M stands for the

    number of parameters"

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    Dierential !volution"D!#$ Main ingredients of Dierential !volution "D!#$

    %nitialisation $ M-dimensiona! parameter vectorsare initia!ised as a popu!ation for each $eneration G"

    &i'G'()'**'+P where NP isindividua! number in a $roup" Mutation $ 4 mutant vector v i,G is $enerated for

    each individua! accordin$ to the fo!!owin$ formu!a>vi,G(&p),G-"&p.,G / &p0,G#

    where ( is a rea! and constantfactor satis6ed ( @ A35 B1 

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    Dierential !volution"D!#$ Crossover $ Crossover is app!ied to $enerate a tria!

    individua! u ji,G u ji,G ( v ji,G'  if 9r9j: CR:&ji,G

      otherwisewhere r 9 j: is a rea! random number and CR, aconstant in A35 )5 is the crossover probabi!it"

    Selection $  The cost va!ue of each tria! vectoruiG is compared to the cost va!ue of the tar$et

    vector Ei,G in the current popu!ation and the one withbetter cost va!ue is retained for the neEt $eneration"

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    Optimization of .icrostrip (ed 4ntenna

    Analysis 2ased on 3ransmission 4ineModel  The =quations used for Optimization are>

     The resonant frequenc of a rectan$u!ar microstrip patchantenna is $iven b>

    f rFcGB8e# Hre#" Jhere 8e#  is the e#ective !en$th of the patch antenna 9due tofrin$in$ e#ect : $iven b

    8e# F8KBL8L8F3"M)BhA9eK3",:9JGhK3"B?M:GA9e-3"B+:9JGhK3":

    re#  is the e#ective permittivit of the antenna substrate $iven beF9rK):GBKA9r-):GB9)K)BhGJ:-)GB 

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    Optimization of .icrostrip (ed 4ntenna

     The return !oss 8R of the microstrip patch is $iven b

     8R F B3 8o$ 9)Grf : 5

    where rf  is the rePection co-eQcient $iven b

    rf  F9 R

    in -+3:G9R

    inK +3:"

    (rom the transmission !ine mode! it can be shown thatthe input resistance of a patch antenna at resonantfrequenc is $iven b>

    RinF)GB/)cosBA98):

    where /) is the se!f conductance of radiatin$ s!ots of thepatch"

      F SG98:and 8) F inset feed !en$th

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    Optimization of .icrostrip (ed 4ntenna

    1arameters chosen for optimization are> 8en$th5 Jidth andthe (eed 1osition of the antenna"

    Optimization is done usin$ Di#erentia! =vo!ution 4!$orithm"  The 6tness function used is>

    ( F f 3  (3  K 8R 83  Jhere5 f 3 -the tar$et resonant frequenc

    (3 - the resonant frequenc with optimized dimensions

      8R -is the desired return !oss which is taken here as -,3d0

    83 -is the return !oss with optimized dimensions"

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    Optimization of .icrostrip (ed 4ntenna

    1opu!ation size>B3 Crossover constant> 3"? Di#erentia! mutation constant9(:>3"M Tota! number of $enerations >B33

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    R=&U8T&

    Optimum patch !en$th5 width V feed position9inset: and

    return !oss for di#erent va!ues of resonant frequenc

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    R=&U8T&

    0est 6tness p!ot for D= optimization

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    R=&U8T&

    &imu!ated return !oss for a tpica! antenna optimized usin$ D=for resonant frequenc )) /%z"

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    R=&U8T&

    1!ot of tota! 6e!d $ain vs" frequenc for a tpica! antennaoptimizedusin$ D= for resonant frequenc )) /%z".aE $ain- +"* d0i at )) /%z

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    R=&U8T&

    Radiation patterns of a tpica! antenna optimized usin$ D= for resonant

    frequenc )) /%z

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    R=(=R=NC=&

    )" &torn5 R"W 1rice5 X" 9)**2:" YDi#erentia! =vo!ution- a simp!e and eQcientheuristic for $!oba! optimization over continuous spacesY" Journal of GlobalOptimization ))> ,M),+*" doi>)3")3B,G4>)33B3BB),B"B" 1rice5 X"W &torn5 R"."W 8ampinen5 Z"4" 9B33+:" Dierential !volution" #Practical #pproach to Global Optimization" &prin$er"," 4" Deb5 Z"&" Ro5 0" /upta5 [Desi$n of .icrostrip antennas usin$ Di#erentia!=vo!ution a!$orithm\5 $nternational Journal of $nformation %&'tem' andCommunication, vo!" )5pp )-)M5B3))M" =" 4kso and =" 4facan5 [1!anar antenna pattern nu!!in$ usin$ di#erentia!evo!ution a!$orithm\5 4=U -$nternational Journal of !lectronic' andCommunication'5

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    R=(=R=NC=&

    2" 8" ]han$5 ]" Cui5 '" C" Ziao5 (-&" ]han$5 [0roadband patch antennadesi$n usin$ di#erentia! evo!ution a!$orithm\5 Micro+ave - Optical.echnolo(& /etter',

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    _T%4NX 'OU_