In this paper a simple methodology to retrieve the effective refractive index of a heterogeneous dielectric substrate is proposed. The host dielectric material is filled with small spherical dielectric inclusions which are arranged in a cubic lattice to form a heterogeneous dielectric. The proposed technique relies on the determination of the dispersion diagram (DD) of a unit cell that consists of a dielectric cube with a dielectric spherical inclusion at its center. The inhomogeneous substrate results from a 3D periodic repetition of the unit cell. Since only waves those propagate parallel to one of the faces of the unit cell are considered, the DD is 2D. The DD is then restricted to the ΓXMΓ spectral triangle that borders the irreducible first Brillouin zone, due to the symmetry of the structure. The effective refractive index can readily be determined through the slope of the DD, without using scattering parameters.
A simple and robust technique to retrieve effective refractive index of heterogeneous dielectrics for millimeter-wave applications / Aziz, Abdul; Matekovits, Ladislau; Sabata, Aldo De. - ELETTRONICO. - (2015), pp. 1-2. (Intervento presentato al convegno International Workshop Computational Electromagnetics (CEM), 2015 tenutosi a Izmir nel 1-4 July 2015) [10.1109/CEM.2015.7237420].
A simple and robust technique to retrieve effective refractive index of heterogeneous dielectrics for millimeter-wave applications
MATEKOVITS, Ladislau;
2015
Abstract
In this paper a simple methodology to retrieve the effective refractive index of a heterogeneous dielectric substrate is proposed. The host dielectric material is filled with small spherical dielectric inclusions which are arranged in a cubic lattice to form a heterogeneous dielectric. The proposed technique relies on the determination of the dispersion diagram (DD) of a unit cell that consists of a dielectric cube with a dielectric spherical inclusion at its center. The inhomogeneous substrate results from a 3D periodic repetition of the unit cell. Since only waves those propagate parallel to one of the faces of the unit cell are considered, the DD is 2D. The DD is then restricted to the ΓXMΓ spectral triangle that borders the irreducible first Brillouin zone, due to the symmetry of the structure. The effective refractive index can readily be determined through the slope of the DD, without using scattering parameters.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2621512
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