Electromagnetic Eigenfrequencies in a Spheroidal Cavity (Calculation By Spheroidal Eigenvectors)

Kokkorakis, Gerassimos C.; Roumeliotis, John A.

doi:10.1163/156939398x00557

Cited by 19 publications

(20 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [1], Kokkorakis and Roumeliotis obtained the electromagnetic eigenfrequencies in a simple spheroidal metallic cavity in closed-form, expressing the fields in terms of spherical eigenvectors and then applied perturbation, valid for small eccentricities of the spheroid, to fulfil the boundary conditions on the spheroidal surface. Then in [2], the authors validated the results from [1] solving the same problem using pure expansions in terms of spheroidal eigenvectors. Li al.…”

Section: Introductionmentioning

confidence: 94%

“…Moreover in (2), and are the spheroidal eigenvectors of the first and second kind [5], are the concentric spheroidal coordinates, , and are the desired normalized eigenfrequencies. Now with .…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…The difference between the works in [1], [2] and [3] is that in [3] the authors maintain more terms in the corresponding Maclaurin series expansion for the calculation of the eigenfrequencies, while in [1], [2], only two terms are present, however, the methodology in [3] is valid only for a subset of eigenfrequencies, i.e., only for . On the other hand, the method in [1], [2] is valid for all higher order eigenfrequencies. Although the study for the simple spheroidal cavity is well justified, works related to composite cavities like spheroidal-spherical and spherical-spheroidal are almost absent in the literature.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exact Eigenfrequencies in Concentric Prolate Spheroidal-Spherical Metallic Cavities

Zouros

2014

IEEE Microw. Wireless Compon. Lett.

View full text Add to dashboard Cite

In this letter the eigenfrequencies in prolate spheroidal-spherical and spherical-spheroidal cavities are calculated. The metallic boundaries of the cavities are perfect conductors. The matrix equations are constructed using expansions connecting the spherical and the spheroidal eigenvectors. Then, by truncating the resulting matrices, the exact eigenfrequencies are obtained as the converged roots of determinantal equations. This method allows to study elongated spheroidal cavities that existing methods fail to handle. The method is validated by comparison with published results from the literature. Original results for spheroids having large eccentricities are given for various values of the parameters.

show abstract

Section: Introductionmentioning

confidence: 94%

Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exact Eigenfrequencies in Concentric Prolate Spheroidal-Spherical Metallic Cavities

Zouros

2014

IEEE Microw. Wireless Compon. Lett.

View full text Add to dashboard Cite

show abstract

“…Next, we use Maclaurin series expansion for in terms of , and keeping terms up to , we get . Second, using Maclaurin series expansion in terms of for [12], [13], we get . Substituting these expansions for and in (1)-(3), and satisfying the aforementioned boundary conditions, we next integrate from to and from to and make use of the orthogonality relations for the spherical eigenvectors.…”

Section: A Te Incidencementioning

confidence: 99%

“…Moreover, in (11), (12) where is either having the same/opposite parity as , respectively. The determinant originates from after the substitution of the column of coefficients , , , and of by , , , and , respectively, and gets the form shown in (13) at the bottom of this page, where and are defined in (A.13) and (A.11), respectively. Similar steps are also followed to construct .…”

Section: A Te Incidencementioning

confidence: 99%

Efficient Calculation of the Electromagnetic Scattering by Lossless or Lossy, Prolate or Oblate Dielectric Spheroids

Zouros

Kotsis

Roumeliotis

2015

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

In this paper, we study the electromagnetic scattering of a plane wave by a prolate or oblate dielectric spheroid, which can be lossless or lossy. The presented efficient solution is obtained by applying a perturbation technique to the problem of the sphere using the spherical eigenvectors. This method allows a closed-form solution for the fields and the scattering cross sections, which is valid for small eccentricities of the spheroid. Alternatively, we construct the exact solution of the problem using the separation of variables in terms of the spheroidal eigenvectors and updated spheroidal algorithms that allow complex arguments. We compare the closed-form solution versus the exact solution and we conclude about its accuracy. Both polarizations are studied and numerical results are given for various values of the parameters.

show abstract

On the solution of boundary value problems using spheroidal eigenvectors

Charalambopoulos

Fotiadis

Kourounis

et al. 2001

Computer Physics Communications

View full text Add to dashboard Cite

Electromagnetic Eigenfrequencies in a Spheroidal Cavity (Calculation By Spheroidal Eigenvectors)

Cited by 19 publications

References 4 publications

Exact Eigenfrequencies in Concentric Prolate Spheroidal-Spherical Metallic Cavities

Exact Eigenfrequencies in Concentric Prolate Spheroidal-Spherical Metallic Cavities

Efficient Calculation of the Electromagnetic Scattering by Lossless or Lossy, Prolate or Oblate Dielectric Spheroids

On the solution of boundary value problems using spheroidal eigenvectors

Contact Info

Product

Resources

About