phase_shifter_add - Reflection-Type Analog Phase Shifter...

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Coupler Port 1 Port 2 Reflection-Type Analog Phase Shifter Coupler Circulator Port 1 Port 2 Reactive component such as varactor diode Transmission Type Continuous Phase Shifters
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0 5 10 15 20 25 01234 Control Voltage (V) Capacitance (pF) Diode A Diode B 0 0 1 1 Z jC Z ω Γ= + 0 0 1 1 j ZC j + () 2 1 00 2 1 1t a n a n Z CZ C Z C ωω −∠ 1 0 12 t a n Z C Γ= ∠− ( ) 1 0 2tan Z C θ =− 1 in Z j C = Input Impedance of Varactor Diode
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( ) 1 10 1 2tan Z C θω =− ( ) 1 20 2 Z C 12 θ θθ Δ= () ( ) 11 01 02 tan ω −− Z CZ C ( ) 2 1 2 2 2 1 + Z CC Z [, ] Cc c Tuning Range = Increase Difference of Capacitances Reduce Product of Capacitances Aims Tuning Range of a Varactor Diode Δ
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-200 -150 -100 -50 0 50 100 150 200 -40 -20 0 20 40 Capacitor (pF) Phase Angle (Deg.) -160 -120 -80 -40 0 02468 1 0 ( ) 1 0 2tan Z C θ ω =− 12 [, ] Cc c [, ] θθ 0 C ≤∞ 0 C C →∞ 0 →° 180 θ→− ° For ideal case, ( ) 1 0 Z C For practical case, 180 Δ= ° 180 Δ ≤° Tuning Range of a Varactor Diode
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in Z 2 11 1 in d d d Zj L C jC j LC ω =+ = -200 -150 -100 -50 0 50 100 150 200 -40 -20 0 20 40 Capacitor (pF) Phase Angle (Deg.) 2 1 1 eff d C L C = - 0 Remark: C range extends θ range extends slightly Simply inserting inductor series with diode C d L Tuning Range Enhancement by Series Inductor
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( ) 01 2 1 2 2 2 2tan 1 ZC C Z CC
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This note was uploaded on 05/01/2011 for the course ELECTRICAL EE5602 taught by Professor Xuequan during the Spring '11 term at City University of Hong Kong.

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phase_shifter_add - Reflection-Type Analog Phase Shifter...

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