208018-SOLUCION Microondas

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    UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA – UNADESCUELA DE CIENCIAS BASICAS TECNOLOGIA E INGENIERIAGUIA COMPONENTE PRÁCTICO DEL CURSO: 208018 – MICROONDAS

    UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA

    ESCUELA DE CIENCIAS BASICAS TECNOLOGIA E INGENIERIA

    GUÍA COMPONENTE PRÁCTICO

    208018 – MICROONDAS

    REMBERTO CARLOS MORENO HERAZO

    (Director Nacional)

    ELBER FERNANDO CAMELO QUINTERO

    Acreitaor

    COROZAL

    !ULIO "#$%

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    2. ASPECTOS DE PROPIEDAD INTELECTUAL Y VERSIONAMIENTO

    Autor Guía: ING. REMBERTO CARLOS MORENO HERAZO

    Versiones: 2014-II

    El prese!e D"#$%e!" se r&'e p"r l( "r%(!&)&*(* +$e #" ,(se (*ere#"s *e ($!"r *e p$,l(#&"es $&)ers&!(r&(s ( e.pe*&*" l(D&re##&/ N(#&"(l *e Dere#"s *e A$!"r *e (ll +$e el prese!e*"#$%e!" se re'l(%e!e ,(" l( C&r#$l(r N" 13 *el 1 *e A,r&l *e 2002e.pe*&*( p"r es!e "r'(&s%" *e #"!r"l p5,l" ( l(s Is!&!$#&"es *e

    e*$#(#&/ s$per&"r s",re 6L"s Dere#"s *e A$!"r e el Á%,&!"U&)ers&!(r&"67 Al &'$(l +$e l"s re'l(%e!"s s",re *ere#"s *e A$!"r#"s('r(*"s e l( Le N"7 29 *e 182 s",re Dere#"s *e A$!"r *el#"'res" *e l( rep5,l( *e C"l"%,&( l( Le N"7 44 *e 19 +$e (#e(*&"es ( l( Le 29 *el 827

    P(r( !(les e;e#!"s *e es!(,le#e +$e el prese!e D"#$%e!" (#e p(r!e*e l"s rep"s&!"r&"s *"#$%e!(les *&'&!(les l( U&)ers&*(* N(#&"(lA,&er!( ( D&s!(#&( UNAD *e C"l"%,&(7 

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    3. INDICE DE CONTENIDO

    Pág.INTRODUCCIÓN

    USTI!ICACIÓN

    INTENCIONALIDADES !ORMATIVAS

    DENOMINACIÓN DE PRACTICAS

    DESCRIPCIÓN DE PRACTICAS

    Prá"t#"a $: Cá%"u%o D& P&r'#%&( D& E%&)a"#*+.

    Pra"t#"a 2: Carta D& S,#t-

    Pra"t#"a 3: D#(&o Y S#,u%a"#*+ D& A+t&+a(

    !u&+t&( /o"u,&+ta%&(

    5

    5

    5

    8

    9

    9

    18

    25

    34

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    0. LISTADO DE TA1LAS

    Ta%a No $. Cuad! "!#$aa%&'! E(%a"&!)*( *) "+,"u,! d* $*-&,*(.

    Ta%a No 2: Ru&"a d* E'a,ua"&/) Ta,a N! 1.Ta%a No 3: Ru&"a d* E'a,ua"&/) Ta,a N! 2.

    Ta%a No 0: Ru&"a d* E'a,ua"&/) Ta,a N! 3.

    0.$ LISTADO DE GR!ICOS Y !IGURAS

    !#gura No $. 0*-&, "!) "!*""&/) d*, ad&! %**(%*.

    !#gura No 2. *)%a)a $&)"&$a, d* S#&% Ca% 2.

    !#gura No 3. *)%a)a 0&)"&$a, 4NEC2 $*da)"&a d* *)%ada.

    !#gura No 0. Ed&"&/) G*!#%&"a M!)!$!,! 9M6 4NEC2

    !#gura No 4. C*a"&/) d* Fu*)%* d* C!&*)%*6 4NEC2

    !#gura No 5. Ba&d! *) -*"u*)"&a6 4NEC2

    !#gura No 6. R*(u,%ad!( M!)!$!,! 9M6 4NEC2

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    4. CARACTER7STICAS GENERALES

    I+tro/u""#*+ E(%* d!"u#*)%! 72818M&"!!)da( %&*)*$! -&)a,&dad !&*)%a *, d*(a!,,! d* ,a(

    $+"%&"a( d*, "u(! a"ad#&"! M&"!!)da(

    :u* (* !-*"* *) ,a UNAD $aa ,!(

    $!;a#a( d* E,*"%/)&"a <

    T*,*"!#u)&"a"&!)*(.

     A:u= (* *(%a,*"*)6 *)%* !%!( a($*"%!(6

    ,!( !>*%&'!(6 %*#+%&"a(6 $!"*d&*)%!( <

    $!du"%!( :u* (* *($*a) *) d&"a(

    a"%&'&dad*(.

    E, "u(! *(%+ a"!#$a?ad! d* $+"%&"a( *

    &)'*(%&;a"&!)*( :u* $!$*)d*) $! u)a

    -!#a"&/) &)%*;a, d*, *(%ud&a)%* d*

    M&"!!)da(6 "ada $+"%&"a $!$u*(%a %&*)*

    u) "!)%*@%! d* a$,&"a"&/) *a, :u* $*#&%*

    &)"*#*)%a ,a( "!#$*%*)"&a( ,a!a,*( d*

    ,!( *(%ud&a)%*(.

    E(trat&g#a /& a8r&+/#9a&: La *(%a%*;&a d* a$*)d&a>* $aa *,d*(a!,,! d* ,a( u)&dad*( < a"%&'&dad*( d*,"u(! *( A$*)d&a>* Ba(ad! *)

    0!! u)a

    #&ada d*, a$*)d&a>* au%/)!#!6

    (&;)&-&"a%&'! < "!,a!a%&'! "!) *,

    d*(a!,,! d* "!#$*%*)"&a(

    "!#u)&"a%&'a(6 a&,&dad*( d*

    a;u#*)%a"&/) < d*a%*6 $!#u*'* *,

    $*)(a#&*)%! "=%&"! a %a'( d*, u(! d*

    (&%ua"&!)*( *(u*,%a( a %a'( d*, d*(a!,,!d* u) $!* "aa, d* (u "!)%*)&d! *:u&**

    ,a *>*"u"&/) d* a"%&'&dad*( $+"%&"a( $aa

    "u*"u"&/) ,a U)&'*(&dad &)'&*%*

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    $!%a)%*( *"u(!(.

    I+t&+"#o+a%#/a/&( 'or,at#)a( Propósitos

    • Qu* *, *(%ud&a)%* "!#$*)da

    "aa,#*)%* *, -u)"&!)a#&*)%! d* ,!("!#$!)*)%*( d* (&(%*#a d* #&"!!)da(

    < ad&!*),a"*(.

    • Qu* *, *(%ud&a)%* #a)*>*

    "!)(%u"%&'a#*)%* ,a( d&-**)"&a( *)%*

    ,! %*/&"! < ,! $+"%&"!6 (u$*a)d! *,

    "!)-,&"%! < ,a -u(%a"&/) )!#a, :u* (*

    ;*)*a a, "!)-!)%a *(u,%ad!( d*

    ,a!a%!&!.

    • 0!$!)* $+"%&"a( :u* $*#&%a) *,

    d*(a!,,! &)%*;a, d*, *(%ud&a)%* *) ,a(

    #&"!!)da(6 #*d&a)%* ,a a$,&"a"&/) d*

    ,a( #&(#a( *) (&%ua"&!)*( &$!%%&"a(

    #u< (&,a*( a ,a *a,&dad.

    Objetivos

    • D!%a a, E(%ud&a)%* d* ,!( "!)!"&*)%!(

    < d*(%*a( +(&"a( )*"*(a&a( :u* ,*

    $*#&%a) a)a,&a6 *'a,ua6 "!#$aa6

    #a)%*)* < !$*a S&(%*#a( d*

    M&"!!)da(.

    •  Ad:u&& *,*#*)%!( d* a)+,&(&( :u* ,*

    $*#&%a) *a,&a d&a;)/(%&"!( <

    "!)(&d*a"&!)*( *) u) $!

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    a(&;)a%ua(6 d*(d* u) $u)%! d* '&(%a

    a$,&"a%&'!.

    • E@$,&"a ,!( "!)"*$%!(6 %*#&)!,!;=a( <

    %")&"a( *,a"&!)ada( "!) *, ad&!

    $,a))&);.

    • R*a,&a u)a &)%!du""&/) a ,a

    !$%&a"&/) < *@$a)(&/) d* *d*(

    &)a,+#&"a(.

    • 0!$!"&!)a ,!( "!)!"&*)%!( +(&"!(

    $aa *, %aa>! d* d&(*?! a(ad! *)

    *a#&*)%a( "!#$u%a"&!)a,*(.

    • Id*)%&-&"a ,!( -a"%!*( ",a'*( :u*&)%*'&*)*) *) ,a $,a)*a"&/) < d&(*?! d*

    *d*( &)a,+#&"a(

    •  A$,&"a ,!( "!)!"&*)%!( *)

    ad&!$!$a;a"&/) < *) %+-&"!6 a, d&(*?!

    d* *d*( &)a,+#&"a(.

    •  A)a,&a ,!( *:u*&*)%!( d*

    &)-a(%u"%ua "a,*ada $aa (!$!%* a ,a

    *d 7"!* d* *d

    • D*("&& #*%!d!,/;&"a <

    (*"u*)"&a,#*)%* *, $!"*(! d*

    $,a)*a"&/) < d&(*?! d* *d*(

    &)a,+#&"a(.

    • C!#$*)d* ,a *,a"&/) d* ,!(

    $a+#*%!( d* a)"! d* a)da6

    "a$a"&dad6 < "!*%ua6 "!) ,a "a,&dad

    d*, (*'&"&! < *, "!(%! d* $,*#*)%a"&/)d* ,a *d.

    Competencias

    • R*a,&a"&/) d* u) ,&) ud;*% < (u

    *($*"%&'! a>u(%*.

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    • D*(%*a *) ,a a$,&"a"&/) d*

    #*%!d!,!;=a( d* $,a)*a"&/) < d&(*?! d*

    *d*( &)a,+#&"a( *) d&'*(!(

    a#&*)%*(.

    • C!)!"&*)%! < a&,&dad $aa *, %aa>!

    "!) *a#&*)%a( (!-%a* *@&(%*)%*(

    :u* a(&(%*) ,!( $!"*(!( d* d&(*?!.

    • Ha&,&dad $aa !$%&a *"u(!( *

    &)"*#*)%a ,a *-&"&*)"&a6 "a,&dad <

    "a$a"&dad *) *d*(

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    5. DESCRIPCIÓN DE PRCTICAS

    PRACTICA No. $ CÁLCULO DE PERFILES DE ELEVACI! 

    T&$! d* $a"%&"a

    0*(*)"&a, Au%!d&&;&da @ R*#!%a

    0!"*)%a>* d* *'a,ua"&/) $%,r(s ( pr",le%(s *e#"%$(#&"es (l *es(rr"ll" *e (#!&)&*(*es*e pl(e(#&/ *&se?" (p">*"se e el#""#&%&e!" +$e ( se !&ee *e l(s!e#"l"'(s e l(s ,(ses !e/r(s (*+$&r&*(s*$r(!e l( #(rrer( e %e!"*"l"'(s pr"p&(sp(r( el *es(rr"ll" *e es!(s (#!&)&*(*es +$e&#l$e l( $!&l&=(#&/ *e s";!@(reespe#&(l&=(*"7 T"*" l" (!er&"r p(r( ;(#&l&!(r

    p"s!er&"r%e!e l(s ;(ses *e &%ple%e!(#&/+$e le se'$&r> (l *&se?" e l"s pr"e#!"s *e!ele#"%$(#&"es7

    O&t#)o(

    • Id*)%&-&"a < d*-&)& ,!( $&)"&$a,*( $a+#*%!(6

    *,*#*)%!( < *:u&$!( :u* "aa"%*&a) <"!#$!)*) u) ad&!*),a"*.

    • Ma)*>a * &)%*$*%a ,a( *"!#*)da"&!)*(

    &)%*)a"&!)a,*( (!* d&(*?! < a)+,&(&( d*ad&!*),a"*(

    • R*a,&a "+,"u,!( d* a,a)"* d* $!%*)"&a <

    d&($!)&&,&dad.

    M&ta(

    • 0*(*)%a a, a)+,&(&( d* *:u*&*)%!( "!#!

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    ;$*(%e!(r !"*"s l"s #>l#$l"s e;e#!$(*"s p(r( e)(l$(r l(s pr*&*(s +$e(;e#!( ( $ r(*&"el(#e es el perl le)(!(*" e!re l"s *"s e.!re%"s*el %&s%" es *e#&r e!re el !r(s%&s"r el re#ep!"r7 E es!( pr>#!( sepre!e*e +$e el (l$%" (pre*( ( #(l#$l(r $ perl e!re *"s p$!"s

    #$(l+$&er( s&e*" #""#&*( l( p"s&/ *e s!"s e $ s&s!e%( *e#""r*e(*(s7D&("r#8"#*+ /& %a 8ra"t#"a

    L( ,(se pr&#&p(l s",re l( +$e se )( ( ;$*(%e!(r !"*"s l"s #>l#$l"se;e#!$(*"s p(r( e)(l$(r l(s pr*&*(s +$e (;e#!( ( $ r(*&"el(#e es elperl le)(!(*" e!re l"s *"s e.!re%"s *el %&s%" es *e#&r e!re el!r(s%&s"r el re#ep!"r7 E es!( pr>#!( se pre!e*e +$e el (l$%"(pre*( ( #(l#$l(r $ perl e!re *"s p$!"s #$(l+$&er( s&e*" #""#&*(l( p"s&/ *e s!"s e $ s&s!e%( *e #""r*e(*(s7R&"ur(o( a ut#%#9ar &+ %a 8rá"t#"a BEu#8o( #+(tru,&+to(

    Se re+$&ere $ #"%p$!(*"r *e es#r&!"r&" p"r es!$*&(!e #"e.&/ (&!ere!7 T(%,& se p$e*e re(l&=(r #" $ p"r!(!&l *es*e l( #(s( *eles!$*&(!e7So'tFar& a ut#%#9ar &+ %a 8ra"t#"a

    er!= M(pper *e ATDI )ers&/ De%" Se re+$&ere $ s&s!e%( "per(!&)"#" (##es" ( I!ere! " &%p"r!( s& es @&*"@s " L&$.7M&to/o%ogía

    Conocimiento previo para el esarrollo e la pr!ctica"

    E 'eer(l !e%(s pr"p$es!"s e l"s #$rs"s *e Mr""*(s7

    #orma e tra$a%o:

    El es!$*&(!e p$e*e !r(,((r e l( U&)ers&*(* #" l( (s&s!e#&( *e $!$!"r " *e ;"r%( )&r!$(l s&e%pre #$(*" *&sp"'( *e l"s %e*&"se#es(r&"s p(r( el *es(rr"ll" *el !r(,("7 L"s es!$*&(!es *e #(*( CEAD*e,e ;"r%(r 'r$p"s #" " %>s *e #&#" es!$*&(!es +$e es!%(!r$l(*"s e el #$rs" Mr""*(s7 Op"r!$(%e!e #(*( CEAD (r>p5,l( l( pr"'r(%(#&/ ;e#(s "r(r&"s s&!&" *e !r(,(" *e pr>#!(s

    *e l"s #$rs"s %e!"*"l/'"s7 L"s es!$*&(!es *e,e prese!(rse (#$%pl&r #" l(s ses&"es (s&'(*(s (l #$rs" p(r( *es(rr"ll(r es!((#!&)&*(* pr>#!(7Es e#es(r&" +$e l"s es!$*&(!es lle)e l"s ele%e!"s e#es(r&"s #l(r"s l"s #"#ep!"s pr"#e*&%&e!" +$e )( ( *es(rr"ll(r7 S& *&sp"e*el s";!@(re es (#"se(,le +$e lle)e el %"!(e l&s!" #" el *e'((r !&e%p"7U( )e= el !$!"r e#(r'(*" *e l( pr>#!( les * l(s e.pl(#&"es

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    ,>s(s re#"%e*(#&"es ( +$e (( l$'(r l"s es!$*&(!es *el 'r$p"#"%ple!(r> el %"!(e *e #(*( $( *e l(s #"'$r(#&"es s"l&!(*(s l( s$s!e!(r> *e,&*(%e!e (l&%e!(*( e per;e#!" ;$#&"(%&e!"(l !$!"r prese!e +$& !"%(r> "!( *e es!e pr"#es" p(r( (s&'(rp"s!er&"r%e!e l( "!( #"rresp"*&e!e7

    E el ;"r" *el !r(,(" #"l(,"r(!&)" se p$,l(r> l( pr"'r(%(#&/ *e l(sses&"es *e pr>#!( +$e s$%&&s!re #(*( CEAD7 El #"rre" &!er" *el($l( es $ %e*&" e#&e!e p(r( +$e l"s es!$*&(!es re(le l(s#"s$l!(s *&re#!(%e!e (l D&re#!"r *el #$rs"7

    &roceimiento:

    L( ,(se pr&#&p(l s",re l( +$e se )( ( ;$*(%e!(r !"*"s l"s #>l#$l"se;e#!$(*"s p(r( e)(l$(r l(s pr*&*(s +$e (;e#!( ( $ r(*&"el(#e es elperl le)(!(*" e!re l"s *"s e.!re%"s *el %&s%" es *e#&r e!re el

    !r(s%&s"r el re#ep!"r7 E es!( pr>#!( se pre!e*e +$e el (l$%"(pre*( ( #(l#$l(r $ perl e!re *"s p$!"s #$(l+$&er( s&e*" #""#&*(l( p"s&/ *e s!"s e $ s&s!e%( *e #""r*e(*(s7L( represe!(#&/ *e l"s perles *el !erre" se e;e#!5( lle)(*" l(s#"!(s *e l"s p$!"s s",re $( le( *e ,(se " F#$r)( *e (l!$r( #er"p(r(,/l( +$e represe!( l( #$r)(!$r( *e l( T&err( #!&( #" r(*&"HR07 L( "r*e(*( *e es!( #$r)( p(r( l( (,s#&s( 'er( . se *e"%&(Fe#( e+$&)(le ( l( pr"!$,er(#&( *e l( T&err(7 Ll(%>*"l( ("r(;. se !&ee:

    D"*e ;. es!> e % *-. e H%7 H es el ;(#!"r *e #"rre##&/ *el r(*&"!erres!re p(r( !eer e #$e!( el e;e#!" *e re;r(##&/ (!%"s;r(7 EEsp(?( se s$ele !"%(r HJ4K97E l( '$r( 1 se ( represe!(*" $ perl (!e*&e*" ( es!"sp(r>%e!r"s7

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    Figura No 1. Perfl con corrección del radio terrestre.

    L( (l!$r( =. s",re l( "r&="!(l *e $ p$!" 'er" *el !erre" P ($( *&s!(#&( . *el!r(s%&s"r es &'$(l ( s$ #"!( 'e"'r>#( #. %>s l( e#( ;.:=.J#.;.

     Tr(*&"(l%e!e l"s perles se represe!( ( p(r!&r *e *(!"s ",!e&*"s%($(l%e!e *e %(p(s !"p"'r>#"s7 Es!"s represe!( el !erre" *e$( ="( 'e"'r>#( ( $( es#(l( *e!er%&(*( e ;"r%( *e re!#$l(!r&*&%es&"(l #" #""r*e(*(s UTM: l( #"!( 7

    P(r( le)(!(r $ perl *el !erre" se'$&re%"s l"s s&'$&e!es p(s"s:

    • L"#(l&=(#&/ s",re el %(p( *e l"s p$!"s *"*e se e#$e!r( l(ses!(#&"es !r(s%&s"r( re#ep!"r( ( p(r!&r *e s$s #""r*e(*(s7

    • U&r (%,"s p$!"s #" $( re#!( s",re el %(p( !"p"'r>#"7

    • L"#(l&=(r l"s p$!"s *e &!erse##&/ *e l( re#!( (!er&"r #" l(s #$r)(s*e &)el *el pl("7

    • De!er%&(r l( *&s!(#&( e!re #(*( p$!" #"se#$!&)"7 Es!" se p$e*e(#er #" $( re'l( " es#(l%e!r" !e&e*" e #$e!( l( es#(l( *el%(p(7

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    PRACTICA No. 3 DISEO Y SIMULACIÓN DE ANTENAS

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    l( r(*&(#&/ *e (!e(s7Des#(r'$e el pr"'r(%( 4NEC2 *el s&!&" http://ho*e.ict.nl/arivoors/ e es!e p$e*e *es#(r'(r !(!" el s";!@(re #"%" l( le#&( *e re'&s!r"*el s";!@(re $ !$!"r&(l e el %(e" *el s";!@(re7 L$e'" *e*es#(r'(*" &s!(le ee#$!e el 4NEC2 p$lse s",re l( )e!(( *eprese!(#&/ *el pr"'r(%( re(le l"s s&'$&e!es represe!(#&"es7

    El sotware 4NEC2 cuenta con una intera gr!fca donde el usuario

    http://home.ict.nl/~arivoors/http://home.ict.nl/~arivoors/

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    tiene la opci"n de introducir los valores de las longitudes de loselementos y las distancias entre estos ya sea por medio de lascoordenadas de los elementos# o directamente di$u%ando la antenacompletamente en la intera 7 El p$!" *e res"(#&( *e $( (!e( esl( ;re#$e#&( ( l( +$e l( p(r!e &%('&(r&( *e l( &%pe*(#&( se ($l( se

    (#e 07 Es!" "#$rre ( l( ;re#$e#&( ( l( +$e l( (!e( !&ee $(l"'&!$* el#!r( *e WK47 A p(r!&r *e es!" #(l#$l(%"s l( l"'&!$* *e l((!e( #"%":

    L( &%pe*(#&( *e $ %""p"l" *epe*e ;$*(%e!(l%e!e *e l(

    l"'&!$* el#!r( *el *&>%e!r" *el (l(%,re $!&l&=(*"7 L(s s&%$l(#&"es*e l( (!e( #" l"s p(r>%e!r"s ",!e&*"s #" l"s #>l#$l"s #" (l'$"s($s!es pe+$e?"s se e#$e!r( ( #"!&$(#&/:

    #i)(ra No -" Ventana &rincipal /NEC* impeancia e entraa"

    Se $!&l&=" el s&%$l(*"r p(r( r(*&(#&/ *e (!e(s 4NEC2 *"*e se&&(,( #"%" %$es!r( l( '$r( N" 9 ( p(r!&r *e l( e*&/ e 9D se",!e( $( )e!(( *e!(ll(*( *"*e er( p"s&,le *es#r&,&r l( ;"r%( *el

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    %""p"l" &'$r( N" 47

    !#gura No 0H E/#"#*+ G&o,tr#"a Mo+o8o%o J

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    !#gura No 5H 1arr#/o &+ 'r&"u&+"#aH 0NEC2

    P(r( re(l&=(r $ ,(rr&*" e ;re#$e#&( se (,re l( )e!(( *e *&(l"'" +$ese %$es!r( e l( '$r( N" 3 ( p(r!&r *el #$(l se !&ee l"s s&'$&e!esres$l!(*"s:

    \()ele'! J 07999%I%pe*(#&(J 9071 – 2278S\R 0 J 2714E#&e#&( J 100]R(*&(* E^7 J 9729]A*e%>s *e "!r(s #(r(#!ers!(s pr"p&(s *el *&se?" +$e se %$es!r( e l(

    '$r( N" _7 P(r( l(s espe#&#(#&"es re+$er&*(s *es*e el pr&#&p&" l((!e( *&se?(*( es (p!(7

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    !#gura No 6H R&(u%ta/o( Mo+o8o%o J

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    9istancia entre elemento - y 2 , .*.4-5 metros

    9istancia entre elemento 2 y 8 , .*.8:5 metros

    9istancia entre elemento 8 y 4 , .*.4-5 metros

     S#(t&,a /& E)a%ua"#*+

    L( pr>#!( se #(l&#(r> #$(*" el es!$*&(!e res$el)( l(s pre'$!(spl(!e(*(s e l( *es#r&p#&/ *e l( pr>#!( %e*&(!e l( pre)&(prese!(#&/ *el &;"r%e *e l(,"r(!"r&" e $( es#(l( *e 1 ( 7 L$e'"l(s "!(s ser> e)&(*(s (l *&re#!"r *e #$rs" p(r( pr"#e*er ( l(p$!(#&/ e el #(%p$s )&r!$(l7P(r( l( e)(l$(#&/ se !e*r> e #$e!( l"s s&'$&e!es (spe#!"s:• P(r!&p(#&/ (#!&)( prese#&(l e el l(,"r(!"r&"7

    I;"r%e es#r&!" s$s!e!(#&/ *e #(*( pr>#!(7I+'or,& o 8ro/u"to( a &+tr&gar 

    Se e!re'(r> $ &;"r%e *e l(,"r(!"r&" +$e #"!e*r> l(s pre'$!(s;"r%$l(*(s e l(s pr>#!(s el pr"#e*&%&e!" se'$&*" p(r( ",!eer l"s*(!"s7 De,e e!re'(rl" e ;"r%(!" *&'&!(l (l !$!"r l"#(l (l !$!"r *el#$rs"7Es e#es(r&" +$e %e*&(!e el s&%$l(*"r re#"%e*(*" $ "!r" s&%&l(r ses&%$le !"*(s l(s #"'$r(#&"es pl(!e(*(s e l(s '$(s "&%ple%e!(rl(s s& es p"s&,le e ;"r%( ;s(7 L(s &%>'ees *el

    s&%$l(*"r " #$(l+$&er e)&*e#&( *e *es(rr"ll" *e l( (#!&)&*(* se *e,e&#"rp"r( !(%,& e el &;"r%e *e pr>#!(7R&troa%#,&+ta"#*+

    E el #(%p$s )&r!$(l *el #$rs" se #re(r> $ ;"r" p(r( re!r"(l&%e!(r l(pr>#!( p$,l(r l"s res$l!(*"s7 T(%,& se #re(r> $ !e%( p(r(pre'$!(s resp$es!(s7 De,e !eerse e #$e!( +$e l(s ;e#(s *eee#$#&/ *e l(s pr>#!(s *epe*e *e l( pr"'r(%(#&/ +$e re(l&=(#(*( CEAD p"r l" !(!" l( ;e#( *e p$,l(#&/ *e "!(s *el#"%p"e!e pr>#!" *epe*er> !(%,& *e *( pr"'r(%(#&/7

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    6. !UENTES DOCUMENTALES

    `1a T$!"r&(l $s" *e 4NEC2 p(r( l( s&%$l(#&/ *e (!e(s7 U&)ers&*(* *el"s A*es B"'"!( C"l"%,&( b$l&( A7 errer(7

    `2a L(,"r(!"r sess&" 2 - ,&re; &!r"*$#!&" !" !e l(,"r(!"r e+$&p%e! -prel&%&(r )ers&" 2 b$l&( A7 errer( – N"l(s M"r( P 29 Sep 20097

    `9a Re&"s" b7O7 C>l#$l" *e #(%p"s el#!r"s p"r el %!"*" *e l"sele%e!"s &!"s Tes&s *e Gr(*" UIS 1897

    `4a A#e)e*" A7M7 A#"s!( C7b7 S&%$l(#&/ *e l( &!er(##&/ *&el#!r"-%r""*(s e $( #()&*(* res"(!e Tes&s *e Gr(*" UIS 20047

    `a R"'er 7 (rr&'!" +ield Computation $y /oment /et)ods#  TeM(#%&ll( C"%p( Ne@ "rQ 1387

    `3a \(rre L7 S!$!=%( G(r A7 T&ele  ntenna 1)eory and 9esign 2*

    e*7 \&le (* S"s 1_7`_a L(,"l! $*(%e!"s *e l(s A!e(s c$e,e# C((*(7

    `8a T"%(s A7 M&ll&'( /odern ntenna 9esign e*7 M#Gr(@-&ll 18pp7 992-947

    `a M"rr&s T&s#ler A!e(s (* Tr(s%&s&/ L&es S#&e#e Is!r$%e!C"%p( B(l!&%"re MD U7S7A7

    `10a E $,re'! b7 &sser Arr( (*P(se* Arr(A!e( B(ss b" \&led S"s 200

    `11a R",er! b7 M(&ll"$. P(se* Arr( A!e( (*,""Q ARTEC OUSEINC7 200

    `12a ROBERT 7 HLE M$!$(l C"$pl&' Be!@ee L"'-Per&"* A!e(sIEEE !r(s 13

    &$' ai C*an+, R- an Micro.a/e 0irele11 S21te314 Co52ri+*t 6 "### !o*n 0ile2 7 Son14 Inc84 558 9:;

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