Question

110 1B 7 Derive the expression for the esulfant group patten fer the four ebmet aray sho in aboe hqure

Answer 1

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tance k dcos ohon Comparud to the Lwve fOm ananro @to each pornt P. Phase shitt introducad due to this poth longth diffeomces dase Lishare B= Lohere A woudangi o ho dilin Total phase hit Ond antanna betwean antanna prognorsive phos dafrones beturry -Rdcosa porth argth diteronet betwen abn Ond antonna ad Cosa dua to this poth bongs is Rfdasd Rd2pd osd Plose shipt ditpenen Total phare shitt Progeanre pha diyfperonce beturuy and (3 2

7Path largth ditorones betuen 0 and (t phose chigt due to this path loangth Prnghesive phose sht bekuean amd Total phare shiff - s(epelaue) 3 ibetrir ield at foint f due to antonna is £ at pont p due to Eleetoric antenna (2 Eelaetric field at point Pde to eslostric fiald at point P due to antonna is E ely

Rerultont eleetouic The ER E+ EeECa 3 +Ee ER E 1+e +e te fR E 1-eip FR E 1-ep ER 1- 1-Cast3sio () fa-Caslew)ne fR il C0.

(-as ))+sin) Casle+Cain) H 2 14 Cas ()-aCas) +sine VitCostl2Gos+str 4 asu)+sin 2as) 1 4 1a)+sinte)-20e) 4 1+1-200s(4) VI+1-2Cos() 2-a Cos(q) 있-& Cos (P)

1-0s4)) XC1-as) 2 Sin sinL Sin Ond dA 2P tBd Cos A423 Cos 2. 2- 2 2 2 2

ER 4.T 2 E 2 Sin 2 sin (4.동) sin sin sin ERI E real This is the