1. ELCT564 Spring 2013 7/2/20151ELCT564 Chapter 4: Microwave Network Analysis

2. Equivalent Voltages and Currents 7/2/20152ELCT564 Voltage is proportional to the transverse electric field Current is proportional to the transverse magnetic field The product of equivalent voltage and current is the power flow The ratio of the voltage to the current should be equal to the characteristic impedance of the line

3. Impedance Matrices 7/2/20153ELCT564 Reciprocal Networks Lossless Networks

4. Example 7/2/20154ELCT564

5. The Scattering Matrix 7/2/20155ELCT564

6. The Scattering Matrix 7/2/20156ELCT564

7. The Scattering Matrix 7/2/20157ELCT564 Reciprocal Networks Lossless Networks

8. Example: The Scattering Matrix 7/2/20158ELCT564 A two port network is known to have the following scattering matrix: Determine if the network is reciprocal, and lossless. If port two is terminated with a matched load, what is the return loss seen at port 1? If port two is terminated with a short circuit, what is the return loss seen at port 1? -0.452 6.9dB

9. Reference Plane 7/2/20159ELCT564

10. The Transmission (ABCD) Matrix 7/2/201510ELCT564

11. The ABCD Parameters Examples 7/2/201511ELCT564

12. ABCD Parameters Relation to Impedance Matrix 7/2/201512ELCT564

13. ABCD Parameters Relation 7/2/201513ELCT564

14. Signal Flow Graph 7/2/201514ELCT564 Nodes: Each port, I, of a microwave network has two nodes, a i and b i. Node ai is identified with a wave entering port I, while node b i is identified with a wave reflected from port i. The voltage at a node is equal to the sum of all signals entering that node. Branches: A branch is a directed path between two nodes, representing signal flow from one node to another. Every branch has an associated S parameter or reflection coefficient.

15. Signal Flow Graph Representations 7/2/201515ELCT564

16. Signal Flow Graph Rules 7/2/201516ELCT564 Series rule Parallel rule Self-loop rule Splitting rule

17. Signal Flow Graph Example 7/2/201517ELCT564 Use signal flow graphs to derive expressions for Гin and Гout for the two-port network shown in the above Figure.

18. Signal Flow Graph Example 7/2/201518ELCT564 Use signal flow graphs to derive expressions for Гin and Гout for the two-port network shown in the above Figure.

19. TRL Network Analyzer Calibration 7/2/201519ELCT564

20. Microstrip Discontinuities 7/2/201520ELCT564