Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem | Zendy

Bulygin Vitaliy S. | Zendy; Gandel Yuriy V. | Zendy; Vukovic Ana | Zendy; Benson Trevor M. | Zendy; Sewell Phillip | Zendy; Nosich Alexander I. | Zendy

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Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem

Author(s) -

Bulygin Vitaliy S.,

Gandel Yuriy V.,

Vukovic Ana,

Benson Trevor M.,

Sewell Phillip,

Nosich Alexander I.

Publication year - 2015

Publication title -

iet microwaves, antennas and propagation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.555

H-Index - 69

eISSN - 1751-8733

pISSN - 1751-8725

DOI - 10.1049/iet-map.2014.0859

Subject(s) - axial symmetry , mathematical analysis , dielectric , boundary (topology) , boundary value problem , mathematics , integral equation , physics , geometry , quantum mechanics

The authors consider the electromagnetic field in the presence of a dielectric body of revolution (BOR) in the axially symmetric case. The associated Muller boundary integral equation (IE) is reduced to a set of two IEs, further discretised using the Nystrom method. They derive a determinantal equation for the search of natural modes and present a new approach for the calculation of its roots. Results obtained are compared with known data for a dielectric sphere and a BOR generated by a super‐ellipse as an approximation of a finite circular cylinder. The resonant frequencies and the Q‐factors of the natural modes of a dielectric spheroid are studied.

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