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The Bailey unequal-split power divider uses a 90° hybrid coupler and a T-junction, as shown below. The power division ratio is controlled by adjusting the feed position, a, along the transmission line of length b that connects ports 1 and 4 of the hybrid. A quarter-wave transformer of impedance Zo/√2 is used to match the input of the divider. (a) For b = λ/4, show that the output power division ratio is given by P3/P2 = tan² (ra/2b). (b) Using a branch-line hybrid with Zo = 50 £2, design a power divider with a division ratio of P3/P₂ = 0.5, and plot the resulting input return loss and transmission coefficients versus frequency.

The Bailey unequal-split power divider uses a 90° hybrid coupler and a T-junction, as shown below. The power division ratio is controlled by adjusting the feed position, a, along the transmission line of length b that connects ports 1 and 4 of the hybrid. A quarter-wave transformer of impedance Zo/√2 is used to match the input of the divider. (a) For b = λ/4, show that the output power division ratio is given by P3/P2 = tan² (ra/2b). (b) Using a branch-line hybrid with Zo = 50 £2, design a power divider with a division ratio of P3/P₂ = 0.5, and plot the resulting input return loss and transmission coefficients versus frequency.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The Bailey unequal-split power divider uses a 90° hybrid coupler and a T-junction, as shown below. The power division ratio is controlled by adjusting the feed position, a, along the transmission line of length b that connects ports 1 and 4 of the hybrid. A quarter-wave transformer of impedance Zo/√2 is used to match the input of the divider. (a) For b = 2/4, show that the output power division ratio is given by P3/P2 = tan² (ra/2b). (b) Using a branch-line hybrid with Zo = 50 22, design a power divider with a division ratio of P3/P₂ = 0.5, and plot the resulting input return loss and transmission coefficients versus frequency. Zo/√2 Z Zo P₂
Transcribed Image Text:The Bailey unequal-split power divider uses a 90° hybrid coupler and a T-junction, as shown below. The power division ratio is controlled by adjusting the feed position, a, along the transmission line of length b that connects ports 1 and 4 of the hybrid. A quarter-wave transformer of impedance Zo/√2 is used to match the input of the divider. (a) For b = 2/4, show that the output power division ratio is given by P3/P2 = tan² (ra/2b). (b) Using a branch-line hybrid with Zo = 50 22, design a power divider with a division ratio of P3/P₂ = 0.5, and plot the resulting input return loss and transmission coefficients versus frequency. Zo/√2 Z Zo P₂
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