Microwave Circuit: Quadrature Coupler

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SUMMARY

The discussion centers on designing a microwave quadrature coupler with a specified 6 dB coupling at port 3 from port 1, while ensuring port 1 is matched. The participants debate the isolation of port 4 from port 1, emphasizing that the characteristic impedances chosen will influence this isolation. The assumption of port 4 being isolated is questioned, leading to confusion in the analysis. Ultimately, the problem is resolved by the original poster.

PREREQUISITES
  • Understanding of microwave circuit design principles
  • Familiarity with quadrature couplers and their characteristics
  • Knowledge of transmission line theory, particularly lossless lines
  • Experience with power division concepts in RF circuits
NEXT STEPS
  • Study the design principles of microwave quadrature couplers
  • Learn about the impact of characteristic impedances on port isolation
  • Research methods for matching transmission lines in RF applications
  • Explore power division techniques in microwave engineering
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Electrical engineers, microwave circuit designers, and students studying RF engineering will benefit from this discussion, particularly those focused on coupler design and transmission line matching.

sandy.bridge
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Homework Statement


Assume that the transmission lines are lossless (hence all characteristic impedances are real).

I am told that there is 6 dB coupling at port 3 from port 1. We are supposed to design the coupler to be matched at port 1.

Is port 4 still isolated from port 1?
Would this not depend on the values that I chose to use for the characteristic impedances? Normally when this type of problem is being analyzed it is assumed that port 4 is isolated and that b4=0. However, the way that it is being asked here leads me to believe that this cannot be assumed in this problem, which makes confuses me as to the analysis.

We are to assume arbitrary power division a=P2/P3.

I am a little confused by this problem.
 
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I figured it out. Thanks
 

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