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# Class Note for ECE 6340 with Professor Jackson at UH

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COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
19
WORDS
KARMA
25 ?

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This 19 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 14 views.

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Date Created: 02/06/15
Dipole on Ocean Eyczo 39T rn z I dipoleIl1 y Goal Find By Dipole on Ocean cont 0 TgtJ 1 Geometry for reciprocity r z T i The ocean is the body Dipole on Ocean cont abEltzogt The reaction lt a b gt is the eld we are trying to calculate Dipole on Ocean cont gtxb 1 bgtaE lt9gt Therreaction lt b a gt is the eld at the surface of the ocean due to the testing dipole Dipoe on Ocean cont H 019 E o ltmbgtlthagt E10 Q Dipole on Ocean cont W b a Ej g Ejg m Ejquot gl1 Dipole on Ocean cont To find the incident field Eb nc 2E0 where E0 e jkor 7Z7quot binc N Hence Ey E0 Dipole on Ocean cont Therefore we have Em z E0 am 1quot nocean 770 nocean 770 Hence from reciprocity ES 10 10 jeW 1 r 4727 Dipo e on Oceam cont Summary a r Em J 0 je am 4727 1quot nocean 770 I 77006071 770 r 77008 8C Arbitrary Angle 9 Now consider an arbitrary observation angle 6 observation point stays inyz plane r ltayb gtEZo Hence E10lt ab gtlt bagtEfg Arbitrary Angle 6 cont From planewave theory we have EQ E ym rm EU c056l Fm TM TM Zz Zl FTM 7 ZZTM Z1TM Arbitrary Angle 6 cont Summary 7 716 7 km ES5UEU 00561FTM E0 47quot 8 Z TM 727M 50 FTM Z l ZZTM ZlTM Arbitrary Angle 9 cont Summary cont 12 k 1622 1602 Sin2 6 2 k0 ng sin2 6 160ng Sinz 612 Z TM 22 2 82 82 82 80ng 2 12 86 s1n ng ZTM kzl kocos 1 81 50 770 cos6 Arbitrary Angles Qand Most general case arbitrary 6 and y Eng lt dab gtZltb9agt2 E Q E3 2 EO costin Arbitrary Angles 9 and 4 cont Hence a 7M E6 E0005651n 1F Note the reflection coefficient depends only on Band not A similar calculation can be done to determine the polarization E Eocos 1FTE Arbitrary Angle 9 cont Arbitrary Surface Current JV x L y 39 8kxmkyy39 This factor is y introduced Each piece ofthe 1 current acts like a 50 x dipole at x 39 y Arbitrary Surface Current cont Eg 2 EO cos sin 1FTM J sz x39y39 ejltkxxykyyj dx39dy39 S 2 EO cosBsin 1FTMjsykxk y kx 2 k0 1116 cos Icy 2 k0 sin sin Similarly E E0 COS 1FTEijcxky ECE 6340 Intermediate EM Waves Fall 2005 Prof David R Jackson ECE Dept Notes 28

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