Application of translational addition theorems to electrostatic and magnetostatic field analysis for systems of circular cylinders

Simple item page
dc.contributor.authorMachynia, Adam
dc.contributor.examiningcommitteeOkhmatovski, Vladimir (Electrical and Computer Engineering) Wang, Bing-Chen (Mechanical and Manufacturing Engineering)en_US
dc.contributor.supervisorCiric, Ioan (Electrical and Computer Engineering)en_US
dc.date.accessioned2012-04-11T16:34:17Z
dc.date.available2012-04-11T16:34:17Z
dc.date.issued2012-04-11
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractAnalytic solutions to the static and stationary boundary value field problems relative to an arbitrary configuration of parallel cylinders are obtained by using translational addition theorems for scalar Laplacian polar functions, to express the field due to one cylinder in terms of the polar coordinates of the other cylinders such that the boundary conditions can be imposed at all the cylinder surfaces. The constants of integration in the field expressions of all the cylinders are obtained from a truncated infinite matrix equation. Translational addition theorems are available for scalar cylindrical and spherical wave functions but such theorems are not directly available for the general solution of the Laplace equation in polar coordinates. The purpose of deriving these addition theorems and applying them to field problems involving systems of cylinders is to obtain exact analytic solutions with controllable accuracies, thereby, yielding benchmark solutions to validate other approximate numerical methods.en_US
dc.description.noteMay 2012en_US
dc.identifier.urihttp://hdl.handle.net/1993/5291
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectpolar Laplacian functionsen_US
dc.subjecttranslational addition theoremsen_US
dc.subjectelectrostaticen_US
dc.subjectmagnetostaticen_US
dc.subjectcircular cylindersen_US
dc.subjecttwo-dimensional bipolar coordinatesen_US
dc.titleApplication of translational addition theorems to electrostatic and magnetostatic field analysis for systems of circular cylindersen_US
dc.typemaster thesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
machynia_adam.pdf
Size:
2.2 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.25 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
FGS - Electronic Theses and Practica