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Hyperbolic metamaterials: fusing artificial structures to ...
tive permittivity components parallel ˜∥ and perpendic - ular ˜ to the OA can be approximated as [34] where ˜ m and ˜ d are the permittivity of the metal and die - lectric materials, respectively, and f = t m t m+ d is the volume fraction of metal and dielectric with thicknesses of t m and t d, respectively. e eective permittivity can be ...
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11.1 ORTHOGONAL FUNCTIONS - Pennsylvania State …
www.personal.psu.eduFor example, the functions f 1(x) x2 and f 2(x) x3 are orthogonal on the interval [ 1, 1], since Unlike in vector analysis, in which the word orthogonal is a synonym for perpendic- ular, in this present context the term orthogonal and condition (1) have no geometric significance. ORTHOGONAL SETSWe are primarily interested in infinite sets of orthogonal