#### Spring 2016 textbook list

The Spring 2016 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 6114 Advanced Analytical Electromagnetics (3C)

This course comprises PhD-level material covering exact and asymptotic analytical techniques for the solution of advanced electromagnetic problems involving wave propagation and scattering by finite and extended media inhomogenieties.

What is the reason for this course?

The application of advanced computing techniques and fast desktop computers to the solution of highly complex wave propagation and scattering problems relating to the design of radar, communication systems, and remote sensors is rapidly increasing. As the computer codes become more sophisticated and the problems more complicated, there is an increasing need to be able to understand and use analytical and asymptotic results as checks on the computer results. Student must not only be aware of these alternative results but they must appreciate their capabilities and limitations.

Typically offered: Fall. Program Area: Electromagnetics.

*Prerequisites: 5106*.

Why are these prerequisites or corequisites required?

A thorough understanding of MaxwellÃ¢â‚¬â„¢s equations, boundary conditions, radiation, and electromagnetic theorems dealing with equivalent boundary value problems, as covered in 5106, is essential background for this course.

### Department Syllabus Information:

**Major Measurable Learning Objectives:**

- Determine the exact and asymptotic solutions for wave scattering by classical shaped dielectric, magnetic, and perfectly conducting bodies and extended surfaces.
- Integrate exact and asymptotic analyses with computer based methods to provide checks on the solutions of complex electromagnetic systems problems.
- Devise measurement campaigns to evaluate electromagnetic problems, using the predictions provided by asymptotic and analytic solutions of canonical problems.
- Apply advance analytical methods to designing electromagnetic systems involving radiation, wave guiding, and scattering.

Course Topics | |
---|---|

Topic | Percentage |

Review of Fundamental EM Theorems | 5% |

General Solution Approaches | 15% |

Modal Expansions | |

Differential Equations | |

Integral Equations | |

Approximate Analytical Solution Techniques | 3. |

Quasi-Static Approximation | 5% |

Rayleigh and Perturbation Methods | 5% |

Spectral Approach via Weyl Representation | |

Rayleigh-Gans Approximation for Penetrable Bodies | 10% |

Geometric Optics Asymptotes | 20% |

Ray Propagation and Conservation of Energy | |

Physical Optics | 10% |

Stationary Phase Approximation | |

Diffraction Approximations | 10% |

Fock (Smooth Surface Diffraction) | |

Geometrical Theory of Diffraction (Keller) | |

Physical Theory of Diffraction (Ufimstev) | |

Infinite Periodic Surfaces and Reactive Surfaces | 10% |

Floquet’s theorem and Consequences | |

Dipole Over a Lossy Earth | |

Types of waves | |

Surface Waves (Zenneck & Norton) | |

Leaky Waves | |

Lateral Waves | |

Radiated Waves | |

Random Surfaces | 10% |

Statistical Quantities | |

Techniques (Classical vs. Modern) | |

Perturbation | |

Physical Optics | |

Multiple Scattering | |

Smoothing |