用于计算腔共振频率边缘元素report报告.pdfVIP

EdgeelementforcomputingtheresonantfrequenciesofPECcavity

WeiSha

DepartmentofElectricalandElectronicEngineering

theUniversityof,PokfulamRoad,

dr.weisha@

Dec6,2011

Thefunctionalformfortheair-filledPECcavityisgivenby

dV(1)

F=∭[∇×∙∇×−k

Usingtheedgeelementandtetrahedrongrid,theE-fieldcanberepresentedas

∑

E={E}(2)

whereisthevectorbasisfunction,andEistheunknowncoefficients.

Substituting(2)into(1),wehave

F=∑[{E}{A}{E}−k{E}{B}{E}](3)

where

A=∭[∇×∙∇×dV(4)

B

=∭(∙)dV(5)

Usingthetetrahedronedgeelement,thenweget

()c+(d

A=[cd−dcd−dcb−bd)(db−bd)+

()

()b](6)

bc−cbc−cb

B=[1+δf−1+δf−1+δf+1+δf](7)

()