# Bart: “ Well, I know of them”. Like Bart and his multiplication tables, many electrical engineers know of

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 4/14/2016 / EECS 723-Microwave Engineering Teacher: “Bart, do you even know your multiplication tables?” Bart: “ Well, I know of them”. Like Bart and his multiplication tables, many electrical engineers know of the concepts of microwave engineering. Concepts such as characteristic impedance, scattering parameters, Smith Charts and the like are familiar, but often we find that a complete, thorough and unambiguous understanding of these concepts can be somewhat lacking. Thus, the goals of this class are for you to: 1. Obtain a complete, thorough, and unambiguous understanding of the fundamental concepts on microwave engineering. 2. Apply these concepts to the design and analysis of useful microwave devices. Almost all the devices we study will be both linear and time-invariant. Thus, almost all our analysis will have at it root the mathematics of linear, time-invariant systems. Certainly, all electrical engineers know of linear systems theory. But, it is helpful to first review these concepts to make sure that we all understand what this theory is, why it works, and how it is useful. First, we must carefully define a linear-time invariant system. HO: The Linear, Time-Invariant System Linear systems theory is useful for microwave engineers because most microwave devices and systems are linear (at least approximately). HO: Linear Circuit Elements The most powerful tool for analyzing linear systems is its eigen function. HO: The Eigen Function of Linear Systems Complex votages and currents at times cause much head scratching; let’s make sure we know what these complex values and functions physically mean. HO: A Complex Representation of Sinusoidal Functions Signals may not have the explicit form of an eigen function, but our linear systems theory allows us to (relatively) easily analyze this case as well. HO: Analysis of Circuits Driven by Arbitrary Functions If our linear system is a linear circuit, we can apply basic circuit analysis to determine all its eigen values! HO: The Eigen Spectrum of Linear Circuits Jim Stiles The Univ. of Kansas Dept. of EECS

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