Simple array of two antennas Consider two identical ...

antennas Simple array of two antennas Consider two identical parallel hertzian dipoles separated by a distance d i . 1. i i 2 . z r2 r r1. 2 1.. x I2 d 2 d 2 I1. Amanogawa, 2006 Digital Maestro Series 64. antennas The dipole currents have the same amplitude and total phase difference . I1 ( t ) = Io cos( t + 2) I1 = Io e j 2. phasor I2 ( t ) = Io cos( t 2) I 2 = I o e j 2. phasor The electric far field components at the observation point are j r1 + j 2. j Io z e E1 i 1 sin 1. 4 r1. j r2 j 2. j Io z e E2 i 2 sin 2. 4 r2. Amanogawa, 2006 Digital Maestro Series 65. antennas At long distance, we have r >> d 1 2 . i 1 i 2 i . d d r1 r cos r2 r + cos . 2 2. and the field components can be written as j Io z e j ( r ( d 2) cos ) + j 2. E1 i sin . 4 ( r ( d 2) cos ). j Io z e j ( r + ( d 2) cos ) j 2. E2 i sin . 4 ( r + ( d 2) cos ). Amanogawa, 2006 Digital Maestro Series 66. antennas After applying the approximations, the two components can be combined to give the total electric field j Io z sin j r E = E1 + E2 i e 4 r e ( (.))

Antennas © Amanogawa, 2006 – Digital Maestro Series 64 Simple array of two antennas Consider two identical parallel Hertzian dipoles separated by a

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