Wave reflection in dielectric media obeying spatial Kramers-Kronig relations Article Swipe
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· 2015
· Open Access
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· DOI: https://doi.org/10.1209/0295-5075/112/64001
· OA: W2237568939
In a recent work, Horsley and coworkers ( \nNat. Photon. \n, \n9 \n(2015) 436) showed rather \ninterestingly that planar dielectric media, for which the real and imaginary parts of the dielectric \npermittivity are related by spatial Kramers-Kro \nnig (KK) relations, are one-way reflectionless, \nwhatever the angle of incidence. Such a fascinating property, besides extending our comprehension \nof the fundamental phenomenon of reflection, may offer new ways for the design of antireflection \nsurfaces and thin materials with efficient light \nabsorption. However, KK dielectric media are \ngenerally described by slowly decaying complex permittivity profiles which may introduce some \nsubtle issues in the study of the scattering problem. Here we provide a condition on the imaginary \npart of the dielectric profile that ensures the existence of proper scattering states and present a \nproof of the one-way reflectionless property in KK dielectric media which is free from loopholes. \nFinally, we show that instabilities might arise at the interface of KK dielectric media when the \nmedium is not purely dissipative.