Lonngren Supplemental Chapter
Waveguides and Cavities
Dr. Randy Jost –
This chapter is meant to build upon the previous chapters’ presentations of such concepts as boundary conditions at conducting and dielectric interfaces, plane wave propagation, perpendicular, parallel and oblique incidence of plane waves on an interface, etc. The chapter is meant to be relatively standalone. That is, the discussion of the TEM mode in a coaxial structure will not be dependent upon the student having seen chapter 6 first. Several of the topics, such as cylindrical or dielectric waveguides may be deferred to a point later in the course, or in a second semester, as they are covered at a level where a little more mathematical maturity would be beneficial.
Detailed Outline
Introduction to
Guided Waves
Unbounded Waves vs. Bounded Waves
Bounded Waves in 2-D and 3-D structures
Transverse Electromagnetic (TEM) Waves: Wave Propagation on Two-Conductor Systems
The Two wire Transmission Line
Coaxial Transmission Line
Parallel Plate Waveguide
Transverse Electric (TE) and Transverse Magnetic (TM) Waves: Wave Propagation on One-Conductor Systems
Parallel Plate Waveguides
TE Mode
TM Mode
Dielectric Losses in Parallel Plate Waveguides
Conductor Losses in Parallel Plate Waveguides
Rectangular Waveguides
Non-existence of TEM Mode
TE Mode
TM Mode
Critical/Cut-off Frequency or Wavelength
Fundamental and Degenerate Modes
Dielectric Losses in Parallel Plate Waveguides
Conductor Losses in Parallel Plate Waveguides
Cylindrical Waveguides
TE Modes
TM Modes
Dielectric Waveguides
Dielectric Slab Waveguide
TE Mode
Even Modes
Odd Modes
TM Mode
Even Modes
Odd Modes
Losses in Dielectric Waveguides
Dielectric Cylindrical Waveguide – Optical Fiber
TE Mode
Even Modes
Odd Modes
TM Mode
Even Modes
Odd Modes
Losses in Dielectric Waveguides
Waveguide Cavity
Resonators
Rectangular Cavity Resonator
Cylindrical Resonator
Perturbations in Resonators
Coupling to Resonators
Waveguide Components
This section is mostly descriptive, covering some of the components that can be constructed from basic waveguide structures.