Polarizabilities of an annular cut in the wall of an arbitrary thickness

Author

Kurennoy, Sergey S.

Author_Institution

Dept. of Phys., Maryland Univ., College Park, MD, USA

Volume

44

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

1109

Lastpage

1114

Abstract

The knowledge of electric and magnetic polarizabilities of an aperture is often required in problems related to waveguide coupling and diffraction of EM waves by apertures. The beam coupling impedances due to a small discontinuity on the chamber wall of an accelerator can also be expressed in terms of the polarizabilities of the discontinuity. The polarizabilities are geometrical factors which can be found by solving a static (electric or magnetic) problem. However, they are known in an explicit analytical form only for a few simple-shaped discontinuities, such as an elliptic hole in a thin wall. In the present paper the polarizabilities of a ring-shaped cut in the wall of an arbitrary thickness are studied using a combination of analytical, variational and numerical methods. The results are applied to estimate the coupling impedances of button-type beam position monitors

Keywords

electromagnetic wave diffraction; electromagnetic wave transmission; integral equations; numerical analysis; polarisability; variational techniques; EM wave diffraction; EM wave penetration; annular cut; apertures; arbitrary thickness wall; discontinuity; electric polarizabilities; geometrical factors; magnetic polarizabilities; numerical methods; ring-shaped cut; variational method; waveguide coupling; Apertures; Diffraction; Geometry; Impedance; Integral equations; Magnetic analysis; Magnetostatic waves; Optical coupling; Polarization; Thin wall structures;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.508645

Filename

508645