Coupled Line - Even and Odd Mode

# Coupled Line - Even and Odd Mode - Chapter 7 Directional...

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Chapter 7: Directional Coupler 1) Coupled Line 2) Even and Odd Mode 3) Coupled Line Even Mode 4) Coupled Line Odd Mode 5) Even and Odd Mode Analysis 6) Coupled Line Directional Couplers 7) Even and Odd Mode DC Voltage Analysis 8) Directional Coupler Example

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Coupled Line - Even and Odd Mode 3 4 1 2 input through coupled isolated A very common type of power divider used in Microwave circuits is the coupled line. In the structure the coupling between the ports is due to the interaction of the electromagnetic fields along transmission lines which have been placed in close proximity.
Coupled Line - Even and Odd Mode Coupled lines V + V - V + V + E wall - Odd mode H wall- Even mode Electric wall Magnetic wall

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Even and Odd Mode Analysis One method of analyzing multi-port transmission line circuits such as coupled line is through even and odd mode analysis. In this case, the circuit input voltage is split into two, an even or symmetric mode and an odd or anti-symmetric mode. The total response of the circuit can then be described as the superposition of the two separate responses (Even and Odd). 2 1 : V V Mode Even = 2 1 : V V Mode Odd - =
Coupled Line - Even and Odd Mode C 11 and C 22 represent the capacitor to ground for one strip (without the presence of the other). C 12 is the capacitance between the two lines without any ground plane. If the strips are identical, then C 11 = C 22 .

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Coupled Line – Even Mode In the even mode, a virtual open circuit occurs along the axis of symmetry, which removes the C 12 from the circuit. The resulting capacitance to the ground is the even mode capacitance C e = C 11 = C 22 . If the two strips are
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• Spring '00
• Cantfinish
• Impedance matching, zo, v3, Characteristic impedance, odd mode, Power dividers and directional couplers

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