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Generalized boundary conditions with applications to submillimeter and optical waveguides
Author(s) -
Deventer T. E.,
Katehi L. P. B.
Publication year - 1996
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/95rs03599
Subject(s) - dielectric , boundary value problem , isotropy , boundary (topology) , electric field , mathematical analysis , equivalence (formal languages) , electromagnetic field , electrical impedance , homogeneous , field (mathematics) , mathematics , space (punctuation) , physics , optics , computer science , optoelectronics , pure mathematics , statistical physics , quantum mechanics , operating system
In this paper, generalized impedance boundary conditions (GIBC) are derived at an interface between isotropic, homogeneous dielectric media. The advantage of this technique is that rather than requiring that the tangential components of the and H → fields be continuous over the interface, an equivalent set of boundary conditions involving the electric field and its space derivatives is applied, reducing the problem dimension and therefore the computational needs significantly. The equivalence between the two sets of boundary conditions is validated for the case of an infinite dielectric slab. Finally, an application of the concept of GIBC to the analysis of dielectric waveguiding structures for high‐frequency applications is described.