.MCAD 304020000 1 77 403 0 .CMD PLOTFORMAT 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 0 0 0 0 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 3 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 21 15 0 0 3 .CMD PLOTFORMAT 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 0 0 0 0 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 3 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 21 15 0 1 3 .CMD FORMAT rd=d ct=10 im=i et=5 zt=15 pr=3 mass length time charge temperature tr=0 vm=0 .CMD SET ORIGIN 0 .CMD SET TOL 0.001000000000000 .CMD SET PRNCOLWIDTH 8 .CMD SET PRNPRECISION 4 .CMD PRINT_SETUP 0.984252 0.984252 0.984252 0.984252 1 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFAULT_TEXT_PARPROPS 0 0 0 .CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables .CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants .CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text .CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1 .CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Courier^(W1) points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=1 family=Courier^(W1) points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .CMD COLORTAB_ENTRY 0 0 0 .CMD COLORTAB_ENTRY 128 0 0 .CMD COLORTAB_ENTRY 0 128 0 .CMD COLORTAB_ENTRY 128 128 0 .CMD COLORTAB_ENTRY 0 0 128 .CMD COLORTAB_ENTRY 128 0 128 .CMD COLORTAB_ENTRY 0 128 128 .CMD COLORTAB_ENTRY 128 128 128 .CMD COLORTAB_ENTRY 192 192 192 .CMD COLORTAB_ENTRY 255 0 0 .CMD COLORTAB_ENTRY 0 255 0 .CMD COLORTAB_ENTRY 255 255 0 .CMD COLORTAB_ENTRY 0 0 255 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .TXT 3 1 403 0 0 0 Cg a69.000000,69.000000,379 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard {\fs24\b The Field Equations\par \par }Maxwell's field equations applied to elemental dipoles and loops describe the structure of the six components of the electric and magnetic fields in free space, in polar co-ordinates at an observation point P. All practical coupling structures can be described in terms of a combination of elemental structures.\par \par Set up variables (see geometry on next page):} .TXT 19 0 297 0 0 0 Cg a82.600000,82.600000,64 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Frequency MHz \par \pard\plain\s0\f0\fs20 \pard \par \pard\plain\s0\f0\fs20 \pard Wavelength m\par \par \par Angular frequency\par \par \par Phase constant} .EQN 0 16 298 0 1 0 {0:F}NAME:30 .TXT 0 13 299 0 0 0 Cg a54.600000,54.600000,52 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Elemental values:\par \par Current\par \par Dipole length\par \par Loop area} .TXT 0 26 300 0 0 0 Cg a29.600000,29.600000,27 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Permittivity of free space:} .EQN 3 -10 301 0 1 0 {0:I}NAME:1 .EQN 1 -29 302 0 0 0 {0:\l}NAME:(300)/({0:F}NAME) .EQN 0 46 303 0 0 0 {0:\e.0}NAME:8.85*(10)^(-12) .EQN 3 -17 304 0 1 0 {0:dl}NAME:1 .TXT 1 10 305 0 0 0 Cg a30.600000,30.600000,21 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Angular displacement:} .EQN 1 -39 306 0 0 0 {0:\w}NAME:2*{0:\p}NAME*{0:F}NAME*(10)^(6) .EQN 2 29 307 0 1 0 {0:dA}NAME:1 .EQN 2 18 308 0 1 0 {0:\q}NAME:({0:\p}NAME)/(4) .EQN 1 -47 309 0 0 0 {0:\b}NAME:2*({0:\p}NAME)/({0:\l}NAME) .TXT 1 13 315 0 0 0 Cg a54.600000,54.600000,28 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}{\f1\fcharset2 \fnil Symbol;}}{\stylesheet{\f0\fs20 Normal;}}\plain\fs20 \pard\plain \s0\f0\fs20 \pard (Elemental lengths are << {\f1 l})} .TXT 7 -8 310 0 0 0 Cg a62.600000,62.600000,7 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Counter} .EQN 0 8 311 0 0 0 {0:c}NAME:0;20 .TXT 0 14 312 0 0 0 Cg a42.600000,42.600000,54 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}{\f1\fcharset2 \fnil Symbol;}}{\stylesheet{\f0\fs20 Normal;}}\plain\fs20 \pard\plain \s0\f0\fs20 \pard Logarithmic distance\par from source:\par 0.1 to 10 times {\f1 l}/2{\f1 p}} .EQN 2 16 313 0 0 0 ({0:r}NAME)[({0:c}NAME):(10)^((({0:c}NAME)/(10)-1))*(({0:\l}NAME)/(2*{0:\p}NAME)) .TXT 5 -57 155 0 1 0 Cg a68.000000,68.000000,30 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard {\ul Electric field source (dipole)}} .EQN 6 0 317 0 0 0 ({0:E.r}NAME)[({0:c}NAME):{0:I}NAME*{0:dl}NAME*{0:cos}NAME({0:\q}NAME)*((({0:\b}NAME)^(3))/(2*{0:\p}NAME*{0:\w}NAME*{0:\e.0}NAME))*((1)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2))-({0}1j)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(3)))*({0:e}NAME)^(-{0}1j* {0:\b}NAME*({0:r}NAME)[({0:c}NAME)) .EQN 9 0 318 0 0 0 ({0:E.\q}NAME)[({0:c}NAME):{0:I}NAME*{0:dl}NAME*{0:sin}NAME({0:\q}NAME)*((({0:\b}NAME)^(3))/(4*{0:\p}NAME*{0:\w}NAME*{0:\e.0}NAME))*(({0}1j)/({0:\b}NAME*({0:r}NAME)[({0:c}NAME))+(1)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2))-({0}1j)/((({0:\b}NAME*( {0:r}NAME)[({0:c}NAME)))^(3)))*({0:e}NAME)^(-{0}1j*{0:\b}NAME*({0:r}NAME)[({0:c}NAME)) .EQN 9 0 319 0 0 0 ({0:H.\f}NAME)[({0:c}NAME):{0:I}NAME*{0:dl}NAME*{0:sin}NAME({0:\q}NAME)*((({0:\b}NAME)^(2))/(4*{0:\p}NAME))*(({0}1j)/({0:\b}NAME*({0:r}NAME)[({0:c}NAME))+(1)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2)))*({0:e}NAME)^(-{0}1j*{0:\b}NAME*({0:r}NAME)[( {0:c}NAME)) .TXT 9 0 320 0 1 0 Cg a68.000000,68.000000,28 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard {\ul Magnetic}{ \ul field source (loop)}} .EQN 6 0 321 0 0 0 ({0:H.r}NAME)[({0:c}NAME):{0:I}NAME*{0:dA}NAME*{0:cos}NAME({0:\q}NAME)*((({0:\b}NAME)^(3))/(2*{0:\p}NAME))*((1j)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2))+({0}1)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(3)))*({0:e}NAME)^(-{0}1j*{0:\b}NAME*({0:r}NAME)[( {0:c}NAME)) .EQN 9 0 322 0 0 0 ({0:H.\q}NAME)[({0:c}NAME):{0:I}NAME*{0:dA}NAME*{0:sin}NAME({0:\q}NAME)*((({0:\b}NAME)^(3))/(4*{0:\p}NAME))*((-1)/({0:\b}NAME*({0:r}NAME)[({0:c}NAME))+(1j)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2))+({0}1)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(3)))*( {0:e}NAME)^(-{0}1j*{0:\b}NAME*({0:r}NAME)[({0:c}NAME)) .EQN 9 0 323 0 0 0 ({0:E.\f}NAME)[({0:c}NAME):{0:I}NAME*{0:dA}NAME*{0:sin}NAME({0:\q}NAME)*((({0:\b}NAME)^(4))/(4*{0:\p}NAME*{0:\w}NAME*{0:\e.0}NAME))*(({0}1)/({0:\b}NAME*({0:r}NAME)[({0:c}NAME))-(1j)/((({0:\b}NAME*({0:r}NAME)[({0:c}NAME)))^(2)))*({0:e}NAME)^(-{0}1j* {0:\b}NAME*({0:r}NAME)[({0:c}NAME)) .TXT 7 0 324 0 0 0 Cg a82.600000,82.600000,111 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Note that these two sets of equations have similar form but the magnetic and electric components are exchanged.} .TXT 11 0 326 0 0 0 Cg a81.600000,81.600000,8 {\rtf1\ansi \deff0{\fonttbl{\f0\fcharset0\fnil Arial;}}{\stylesheet{\f0 \fs20 Normal;}}\plain\fs20 \pard\plain\s0\f0\fs20 \pard Geometry} .EQN 6 2 327 0 0 0 { 23 62 33652 0 8 235 627}{66} !1!*!!!$@c#e!!4'%I#e!!!!!q!!!!>}*4)UJs.[!!!-!F6c3F+y!!!!"##f!!+u!!!'!1&K"3!!!0Ac!!#d!!!!!!!%!!!!(_#e!!9Q!!#_!A.[!!!!!0LVLG!C!!+u!!!N!1#e-y!!!#+x'-!g!d,&,w,K#X<;']JB!b9`'=,"#V?!L'GA!oG;#5.<#E1EDWG.!m&YL7+(#TAd=)Il!Z45Ke*[#TAd5yG-!gDU!a,w#E<;/=GQ!g,%&K-% #FAe4wGG!hJ!%9-C#F9U:CGG!k#s%i-f#FIu@_GO!m45']..#GG1G-Gb!oDU+E.T#I4+"3Jc!b)@0_,5#ZAe&+Ix!!!!Ku&K!0LVLG!!!!+u!!!N!1&K"S!!!0<9!!!!!!!!!!!!!#&K!a!!!#DH!Q!%!!!!(_#e!!+u!!!N!1#e-y!!!#+x'-!Z!w!0*c/]#WDL2sJ3!x#t$7/t#U+z6+LM!hG+G#J1E&{H2!c&Y4G,9#M!%&{H]!c.i;U,@#O?!(oI+!d)?C%,R#R4+,GIU!eAoJ3,m#E!& 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