lecture32

# lecture32 - Lecture 32 Circuit Properties of Antennas In...

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1 ECE 303 – Fall 2006 – Farhan Rana – Cornell University Lecture 32 Circuit Properties of Antennas In this lecture you will learn: • Circuit properties of transmitting and receiving antennas • Thevenin circuit models for receiving antennas • Antenna theorem ECE 303 – Fall 2006 – Farhan Rana – Cornell University Circuit Properties of Transmitting Antennas - I How does an antenna look to a driving circuit? d Z o ( ) ( ) ( ) ( ) y x z I z r J δ δ ˆ = r r x z I Z o I Z A P = Net time-average power going into the antenna Antenna appears as a load impedance Z o P Poynting theorem: ( ) ( ) ( ) ( ) t r E t r J t t r W t r S , . , , , . r r r r r r r + = Time-average form for time-harmonic signals: ( ) ( ) ( ) t r E t r J t r S , . , , . r r r r r r = P rad P rad P rad P rad Note the distinction between P and P inc and P rad P = P inc - P ref P = P inc - P ref P inc P ref

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3 ECE 303 – Fall 2006 – Farhan Rana – Cornell University Z o P P rad P rad P rad P rad Transmitting and Receiving Antenna Systems Z o P out Need to determine the following: i) From the net power P going to the antenna how much is the total radiated power P rad ii) From the total radiated power how much power is coupled into the receiving antenna iii) From the total power coupled into the receiving antenna how much ends up as the useful power P out in the receiving circuit Transmitting antenna Receiving antenna P = P inc - P ref ECE 303 – Fall 2006 – Farhan Rana – Cornell University

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