## ECE 5105 Electromagnetic Waves

#### Spring 2015 textbook list

The Spring 2015 ECE textbook list is available online for students.

#### Current Prerequisites & Course Offering

For current prerequisites for a particular course, and to view course offerings for a particular semester, see the Virginia Tech Course Timetables.

### ECE 5105 Electromagnetic Waves (3C)

Maxwell's electromagnetic field theory and its applications to engineering problems. 5105: Fundamental concepts and theorems; elementary wave theory and boundary value problems; applications to radiation, transmission line and waveguide problems. 5106: Analytical techniques (Green's theory, modal analysis, etc.) pertaining to guided wave propagation and to scattering and diffraction by discontinuities and inhomogeneties in metallic and dielectric waveguiding structures.

What is the reason for this course?

The design of microwave and optical components, such as antennas, waveguides, etc., as well as the effective exploitation of diverse types of communication channels, is based upon the theory of electromagnetic fields, expressed most efficiently by Maxwellâ€™s equations. However, the solution of these equations requires an in-depth understanding of a number of diverse techniques.

Typically offered: Fall. Program Area: Electromagnetics.

Why are these prerequisites or corequisites required?

Engineering: Proficiency in undergraduate electromagnetic fields. (Knowledge of the material covered in ECE 3106 is mandatory). Mathematics: Differential equations and Fourier concepts. Also Graduate standing.

### Department Syllabus Information:

Major Measurable Learning Objectives:
• Demonstrate facility in using Maxwell’s equations to evaluate basic plane wave propagation, interaction with planar surfaces, and energy storage
• Describe the fundamental principles of propagation, particularly with regard to the interaction with obstacles
• Describe the effects of a layered medium on the reflection of a plane wave
• Decompose an arbitrarily polarized incident wave into its perpendicular and parallel vector components and determine the total fields above and beneath a planar interface
• Determine the conditions under which a uniform plane wave will be converted to a nonuniform plane wave upon reflection and refraction at a planar interface
• Compute an equivalent current on the surface of a planar interface due to the action of an incident plane wave and use image theory to account for arbitrary sources

Course Topics
Topic Percentage
Maxwell’s Equations 20%
Differential and integral forms
Constitutive relations
Debye relaxation equation
Boundary conditions
Temporal and spatial varying functions
Uniform and nonuniform plane wave solutions of Maxwell’s equations 20%
Polarization & direction of propagation for EM waves 10%
Reflection and transmission of plane waves by planar boundaries 20%
Plane wave and polarization notations
The sufficiency of TE and TM polarizations
Plane wave nature of reflection and transmission
Applying the boundary conditions and Snell’s Laws
The effects of non-zero conductivity
Evanescent waves
Infinite conductivity
Fresnel reflection and transmission coefficients
Behavior for various media types
Standing and traveling waves in different directions
Energy considerations in plane wave propagation
Applications of plane wave reflection theory
Solutions of Maxwell’s equations in spherical coordinates 20%
Spherical waves
Comparison of spherical and uniform waves
Energy and power considerations
Material Properties 10%