Department of Electrical and Computer Engineering The University of Arizona

Richard W. Ziolkowski

Fundamentals of Applied Electromagnetics

Thoughts borrowed from course presentation materials

Fundamentals of Applied Electromagnetics Ulaby and Ravaioli 7th Ed

Spring Semester 10 January, 2018

Maxwell’s Equations

Time and Phasor Domain

It is much easier to deal with exponentials in the phasor domain than sinusoidal relations in the time domain Just need to track magnitude/phase, knowing that everything is at frequency ω

Maxwell’s Equations

Sinusoidal time variations

Materials: ε, µ - time independent, isotropic, homogenous, linear

Static vs. Dynamic Static conditions: (a) charges are stationary or moving, but if moving, they do so at a constant velocity (b) size of system much smaller than a wavelength

Under static conditions, electric and magnetic fields are independent, but under dynamic conditions, they become coupled.

Types of Waves

Plane Waves: fundamental solutions of Maxwell’s equations E

H D.O.P. TEM Wave

Guided EM Waves Unbounded EM Waves

Types of Transmission Modes TEM (Transverse Electromagnetic): Electric and magnetic fields are orthogonal to one another, and both are orthogonal to direction of propagation

Examples of Antennas

Dimensions and Units

The EM Spectrum

Examples of EM Applications

Sci-Fi becomes reality – enabled by EM

What is Next ????

Fifth Generation Wireless: 5G Lower Latency, Higher Data Rates

Massive MIMO

High Directive Beams Higher Frequencies

IoT