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Generalized Transfer‐Matrix Description of the Optical Properties of Spatially Dispersive Periodic Metal Multilayers
Author(s) -
Trutschel U.,
Golz M.,
Abraham M.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221510143
Subject(s) - superlattice , dispersion relation , transfer matrix method (optics) , formalism (music) , transfer matrix , dielectric , dispersion (optics) , condensed matter physics , materials science , metal , spatial dispersion , matrix (chemical analysis) , reflectivity , optics , mathematical analysis , physics , mathematics , optoelectronics , composite material , art , musical , computer science , metallurgy , visual arts , computer vision
A transfer matrix formalism is used to treat in a general way the optical response of different kind of metal superlattices. The dispersion relation of infinite and semi‐infinite superlattices and the reflectivity of semiinfinite superlattices are calculated. Spatial dispersion is included via additional boundary conditions. Each unit cell of the superlattices can be built up by an arbitrary number of layers with local and/or nonlocal dielectric functions. In the case of a spatially dispersive double layer unit cell the explicit dispersion relation is derived. The limits when one of the layers is local as well as the complete local case are shown to be included.