# ECE 329 Exam 3 HKN Review Session ECE 329 Exam 3 HKN Review Session Alex Littlefield Wave Properties in Material Media

Propagation constant Impedance Wave Equations in Material Media Propagation velocity in some media is frequency dependent

From the wave equation, we can get a general solution for a x-polarized wave Penetration depth, or skin depth Wavelength Wave Polarization

Linear: In phase Circular: 90 degrees out-of-phase with equal magnitude Right-Handed

Left-Handed

Elliptical: Anything else Reflection and Transmission Perfect reflection at perfect dielectric or perfect conductor interface Perfect transmission at impedance matched interface (Z1=Z2)

Reflection coefficient Injection coefficient Transmission coefficient

Transmission Lines (TL) At steady state DC, TL acts like a wire However, at microwave frequencies, lumped element model cannot be used

Creates propagating (or standing) TEM wave To derive TL formulas, apply boundary conditions

Transmission Lines Lossless transmission lines absorb no power All power is dissipated in resistive loads Bounce Diagram

Dont memorize these formulas Instead, understand bounce diagrams conceptually Note the speed of propagation (material dependent!)

Determine the distance per time in convenient units Multiply by the correct coefficient at any interface

Remember to negative reflection coefficient for current! Output function will be the same as input function

Previous Exam Questions Summer 2016 #2 Spring 2016 #1

Spring 2016 #1 Summer 2016 #2