Asymmetries in cylindrical waveguides
Forristall, George Zapp
Master of Science
Cylindrical geometries with axial symmetry are often used to model physical systems. Although such a model materially simplifies calculations it may ignore significant effects arising from small asymmetries in the system. In order to demonstrate this and to examine the nature of such effects a model was analyzed consisting of a cylindrical waveguide with perfectly reflecting walls and an isolated point source displaced a small distance from the axis of the hole. The subsequent analysis shows two distinct types of arrivals associated with the geometry. Both of these produce strikingly large asymmetries in the motion of the system. These effects are clearly displayed in the closed form solutions obtained for the problem and the light which they shed on the nature of the reflection process at a cylindrical interface may well be of significant value for ray theory methods in diffraction.