Degenerate-band-edge engineering inspired by nonlocal transformation optics

Abstract

-We address the engineering of degenerate-band-edge effects in nonlocal metamaterials. Our approach, inspired by nonlocal-transformation-optics concepts, is based on the approximation of analytically-derived nonlocal constitutive ''blueprints''. We illustrate the synthesis procedure, and present and validate a possible implementation based on multilayered metamaterials featuring anisotropic constituents. We also elucidate the physical mechanisms underlying our approach and proposed configuration, and highlight the substantial differences with respect to other examples available in the topical literature.

Giant Resonance and Anomalous Quality Factor Scaling in Degenerate Band Edge Coupled Resonator Optical Waveguides

“…[4], and gain/absorption [5] among other features can be significantly enhanced. In this letter we demonstrate a fundamentally novel approach for realizing high Q factor microcavities using a special kind of engineered slow-light through eigenmode dispersion and degeneracy conditions [6]. Particularly, slow light resonance occurring in the vicinity of the band edge of periodic structures is intimately linked to degeneracies of Bloch eigenmodes.…”

EPJ Applied Metamaterials Special Issue on “Metamaterial-by-Design: Theory, Methods, and Applications to Communications and Sensing”

“…More in detail, in terms of theoretical tools useful for MbD methodologies, Moccia et al [5] address the synthesis and control of degenerate-band-edge effects in nonlocal metamaterials. The proposed concept, which is inspired by nonlocal-transformation-optics approaches, is based on the approximation of analytically-derived nonlocal constitutive ''blueprints''.…”

Magnified imaging based on non-Hermitian nonlocal cylindrical metasurfaces

“…For instance, in Refs. [64][65][66], a systematic approach based on a nonlocal generalization of the transformation-optics [67,68] paradigm was proposed. In Ref.…”

“…The synthesis of metamaterials and metasurfaces with tailored nonlocal (i.e., spatially dispersive) responses has recently received considerable attention in view of its increasing relevance in several application scenarios. For instance, in [64][65][66] a systematic approach based on a nonlocal generalization of the transformation-optics [67,68] paradigm was proposed. In [49], in order to deal with similar nonlocality issues (angle-dependent surface impedances) in the planar case, a multilayered implementation of the metasurfaces was successfully carried out, based on a general synthesis procedure originally put forward in [69] for the design of computational metamaterials.…”