HORIZONTAL RHOMBIC ANTENNAS 



157 



Voltages Induced in Wire : 



For a directly propagated wave in element {\), R being the refer- 

 ence point for phases, 



Epi — €-cos {(t) — j3)-e >" dX. 



For reflected wave in element (1) (X = to Z) 



r27r 1 



7^ / / . r,\ + i < -T- [X • sin (<^ - /3) • cos A - 2i/ sin A] - a\ , ^ 



£pi = a-€-cos (^ — iS)-e i>^ idX. 



Similarly for element (3) (X = to I) 



Ep3 = e-cos (0 + iS) -e ^ dX. 



, / J 1 a\ + j (v" [A'' sin (0 +/3)- cosA - 2//sinA] -a) ,-^ 



Eps' = a •€• COS (<^ + i3)-g >->^ idX. 



Also for elements (2) and (4) (X = to I) where respective side 

 apexes are now reference points for phases, 



T-, t;, + j —- ■ sm (<t> — P) ■ COS A 



-C-P2 = ~ I^PZ'^ ^ , 



^ + J ~ ■ sm (.4> — p) ■ cos A 



and 



iips' = — Ep-i ■ e' ^ 



-ry yy + ;• ^ ■ sin (0 + ^) ■ cos A 



ILpA — — rLp\-e ^ , 



T- / 7^ / + ; -r- ■ sin (0 + /3) • cos A 



Epi = — Epi -e =^ 



Receiver Current where T = Zq and R = Z 



r Epi -\- Er>-i -\- £ps 

 / 



X 



'£P1 + £pi' + £P3 + £p/ -;2-x 



. /£P2 + £P2' +£P4 + £P4' -J^^x -J--Ii 



2Zo 



X 



' e • COS (0 - |g) 



2Zo 



— j^ [1 - sin ^0 - /3) • cos A] X 

 g X 



2Zo 



1 +ag"'(?'' 



sin A -f« 



rfX + 



f- 



•-'0 



'e-cos(0 + /3) 



1 + ae 



( Y HsinA +a j 



■e X 



2Zo 



;■ ^ [1 - sin (0 + /3) . cos A] X 



<fX 





e-cos (<^ — /3) 



■ 2z;^ 



1 1 -j(^ HsinA+a) 



1 + ae V X / 



-i-T [1 - sin (0 -t-/3) cosA] - J ",- [1 - sin (0 - fi) cosA]X ,^ 



e X -g X (ix 



