Eigenfrequencies in an electromagnetic spheroidal cavity

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dc.contributor.author Kokkorakis Gerassimos, C en
dc.contributor.author Roumeliotis John, A en
dc.date.accessioned 2014-03-01T02:41:12Z
dc.date.available 2014-03-01T02:41:12Z
dc.date.issued 1996 en
dc.identifier.uri http://hdl.handle.net/123456789/30418
dc.subject.other Boundary conditions en
dc.subject.other Eigenvalues and eigenfunctions en
dc.subject.other Mathematical models en
dc.subject.other Perturbation techniques en
dc.subject.other Vectors en
dc.subject.other Abstract only en
dc.subject.other Electromagnetic spheroidal cavities en
dc.subject.other Vector wave functions en
dc.subject.other Electromagnetic field effects en
dc.title Eigenfrequencies in an electromagnetic spheroidal cavity en
heal.type conferenceItem en
heal.identifier.primary 10.1109/AEM.1996.873054 en
heal.identifier.secondary http://dx.doi.org/10.1109/AEM.1996.873054 en
heal.publicationDate 1996 en
heal.abstract The eigenfrequencies fnsm in an electromagnetic spheroidal cavity, are determined analytically by a shape perturbation method. The analytical determination is possible in the case of small v = 1-a2/b2, (|v|<<1), where 2a and 2b are the lengths of the rotation axis and the other axis of the spheroidal cavity, respectively. In this case exact, closed-form expressions are obtained for the expansion coefficients gnsm(1) and gnsm(2) in the resulting relation fnsm(v) = fns(0)[1+gnsm(1)v+g nsm(2)v2+O(v3)], where g's are independent of v, while fns(0) are the eigenfrequencies of the corresponding spherical cavity with v = 0(b = a). There is no need for the spheroidal vector wave functions. The electromagnetic field is expressed in a series of spherical vector wave functions. The equation of the spheroidal boundary is given in terms of the spherical coordinates r and Θ. After the satisfaction of the boundary conditions we obtain an infinite determinant equation, from which the above relation for fnsm(v) is found after lengthy manipulation. This relation is valid for each small value of v and for all modes, while all numerical techniques require repetition of the evaluation for each different v. It is valid for a prolate spheroidal cavity (v<0),as well as for an oblate one (v>0). en
heal.publisher IEEE en
heal.journalName Trans Black Sea Region Symposium on Applied Electromagnetism en
dc.identifier.doi 10.1109/AEM.1996.873054 en

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