Electromagnetic eigenfrequencies in a spheroidal cavity

Kokkorakis, GC; Roumeliotis, JA

dc.contributor.author	Kokkorakis, GC	en
dc.contributor.author	Roumeliotis, JA	en
dc.date.accessioned	2014-03-01T01:12:51Z
dc.date.available	2014-03-01T01:12:51Z
dc.date.issued	1997	en
dc.identifier.issn	0920-5071	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12262
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0030643780&partnerID=40&md5=0c06de0a3a81593db99c742856a89535	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Conductive materials	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Mathematical models	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Closed form expressions	en
dc.subject.other	Electromagnetic eigenfrequencies	en
dc.subject.other	Expansion coefficients	en
dc.subject.other	Shape perturbation method	en
dc.subject.other	Spheroidal cavity	en
dc.subject.other	Electromagnetic field theory	en
dc.title	Electromagnetic eigenfrequencies in a spheroidal cavity	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The electromagnetic eigenfrequencies f(nsm) in a perfectly conducting spheroidal cavity are determined analytically, by a shape perturbation method. The analytical determination is possible in the case of small values of the quantity v = 1 - a(2)/b(2), (\v\ <much less than 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 ((1)(gnsm)) and ((2)(gnsm)) in the resulting relation f(nsm)(v) = f(ns)(0)[1 + vg(nsm)((1)) + v(gnsm)(2)((2)) + O(v(3))]. There is no need for using any spheroidal eigenvectors in our solution. The electromagnetic field is expressed in a series of spherical eigenvectors, while the equation of the spheroidal boundary is given in terms of the spherical coordinates. Numerical results are given for the eigenfrequencies of the lower-order magnetic and electric modes.	en
heal.publisher	VSP BV	en
heal.journalName	Journal of Electromagnetic Waves and Applications	en
dc.identifier.isi	ISI:A1997WP95300001	en
dc.identifier.volume	11	en
dc.identifier.issue	3	en
dc.identifier.spage	279	en
dc.identifier.epage	292	en