Open AccessNystrom 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 , mathematics , boundary value problem , integral equation , cylinder , ellipse , boundary (topology) , 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.