Plasmon-polariton signature in the transmission and reflection spectra of one-dimensional metamaterial heterostructures
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Plasmon-polariton signature in the transmission and reflection spectra of one-dimensional metamaterial heterostructures E. Reyes-Gómez1, S. B. Cavalcanti2, and L. E. Oliveira3 1 Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia 2 Instituto de Física, Universidade Federal de Alagoas, Maceió-AL, 57072-970, Brazil 3 Instituto de Física, Univ. Estadual de Campinas- Unicamp, Campinas - SP, 13083-859, Brazil ABSTRACT The transmission and reflection properties of a meta-stack composed of a periodic AB arrangement of an air(A)/metamaterial(B) bilayer is presented, with the multi layered system embedded between two semi-infinite layers of the A material. For oblique incidence, a finite projection along the growth direction of the electric or magnetic field of the incident wave associated with the TM or TE modes, respectively, leads to a coupling of the photon modes with the bulk electric or magnetic metamaterial plasmons, in each layer of the meta-stack. This fieldmatter coupling gives rise to plasmon-polariton modes and signatures of electric or magnetic longitudinal bulk-plasmon polariton modes in the transmission, as well as in the reflection properties of the meta-stack, by means of a plasmon-polariton gap. Such features survive even in the case of a single bilayer and experimental observation should be, therefore, easily achieved. INTRODUCTION The advent of metamaterials [1-3] has opened a new era for light control, and has also given a considerable thrust to the recent area of plasmonics that deals with the generation, propagation and detection of plasmon polaritons (PPs). PPs are collective electronic and magnetic excitations generated by a resonant electromagnetic field. A typical example of a metamaterial is a dispersive left-handed material (LHM) that exhibits negative refraction. Studies on the propagation of light obliquely incident in one-dimensional (1D) stacks of a periodic arrangement characterized by the repetition of a unit double-layer cell composed of a conventional material (A-layer:air) and a dispersive LHM (B-layer) - henceforth referred to as meta-stacks – have reported unusual features. For example, non-Bragg gaps, such as the nullaverage (< n >= 0) refractive index gap [4-6], and longitudinal PP modes [7, 8] of both magnetic (in a TE configuration) and electric (in a TM configuration) nature have been reported in such meta-stacks. Disordered and quasiperiodic meta-stacks have also exhibited essentially the same features and additional ones [9,10]. The present work is concerned with a systematic theoretical study of the transmission and reflection spectra of periodic meta-stacks. Calculated results are obtained within the transfer-matrix approach, and the meta-stack transmission and reflection coefficients are straightforwardly evaluated. The paper is organized as follows. In Sec. II we present the theoretical framework of this study. Numerical results and discussion are presented in Sec. III, and in Sec. IV we conclud
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