Properties of Scattering Parameters - Part I — Lesson 2

This lesson covers the in-depth study of scattering parameters in microwave integrated circuits. It explains how these parameters are related to the power transmission of the network, i.e., voltages and currents. The lesson further delves into the properties of scattering parameters, similar to the study of impedance and admittance parameters. It also discusses the characteristics of reciprocal or lossless networks and their relation to impedance and admittance matrices. The lesson concludes with the explanation of the conditions for reciprocity and losslessness in terms of S parameter matrices.

Video Highlights

00:15 - Introduction
01:10 - Normalized voltages and currents
06:21 - Relationship between a and b and the condition for reciprocal networks
12:03 - Naming convention used for S parameter matrix.
13:04 - Condition for lossless networks
16:21 - Understanding the unitary condition for lossless networks

Key Takeaways

- Scattering parameters are related to the power transmission of a network, specifically voltages and currents.
- The properties of scattering parameters are comparable to those of impedance and admittance parameters.
- For a network to be reciprocal, the transpose of the scattering parameter matrix should be equal to the matrix itself.
- The unitary condition is necessary for a network to be lossless.
- The diagonal elements of the scattering parameter matrix should be purely imaginary for a network to be lossless and reciprocal.