Applying Babinet’s principal we have Et/Ei+E’t=1 Therefore 2Y0/2Y0+Y1 + 2Y0/2Y0+Y2=1 We obtain Bookers result Y1Y2=4Y02 Z1Z2=Z02/4 or √Z1Z2=Z0/2 For free space Z0=376.7 Z1=35476/Z2 IMPEDANCE OF SLOT ANTENNAS Let a generator be connected to the terminals of the slot.The driving impedance Zs at the terminal is Vs/Is.Let Es and Hs be the electric and magnetic fields of the slot at any point P. Then Vs at the terminal FF is given Lim c1 Es dl ∫ Current Is of the slot is given by 2 lim c2 Hs dl ∫ Let the generator be connected to the terminals of the dipole. The driving point impedance Zd= Vd/Id Let Ed and Hd be the electric and magnetic fields of the slot at any P. The terminal voltage at the dipole is Vd =lim c2 Ed dl ∫ and current is Id= 2 lim c2Hd dl ∫ However lim c2 Eddl=Z0 lim c2 HS dl and lim c1Hddl = 1/z0 lim c1 Es dl ∫ ∫ ∫ ∫ Full Dipole Z0=intrinsic impedance of surrounding λ medium Vd=Z0/2*Is and Vs= Z0/2*Id Multiplying Vd and Vs we have
Applying Babinet’s principal we have Et/Ei+E’t=1 Therefore 2Y0/2Y0+Y1 + 2Y0/2Y0+Y2=1 We obtain Bookers result Y1Y2=4Y02 Z1Z2=Z02/4 or √Z1Z2=Z0/2 For free space Z0=376.7 Z1=35476/Z2 IMPEDANCE OF SLOT ANTENNAS Let a generator be connected to the terminals of the slot.The driving impedance Zs at the terminal is Vs/Is.Let Es and Hs be the electric and magnetic fields of the slot at any point P. Then Vs at the terminal FF is given Lim ∫ c1 Es dl Current Is of the slot is given by 2 lim ∫ c2 Hs dl Let the generator be connected to the terminals of the dipole. The driving point impedance Zd= Vd/Id Let Ed and Hd be the electric and magnetic fields of the slot at any P. The terminal voltage at the dipole is Vd =lim ∫ c2 Ed dl and current is Id= 2 lim ∫ c2Hd dl However lim ∫ c2 Eddl=Z0 lim ∫ c2 HS dl and lim ∫ c1Hddl = 1/z0 lim ∫ c1 Es dl Full λ Dipole Z0=intrinsic impedance of surrounding medium Vd=Z0/2*Is and Vs= Z0/2*Id Multiplying Vd and Vs we have
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