Invisibility in -symmetric complex crystals
By S. Longhi. 2011
220 citations recorded by the source corpus.
Bragg scattering in sinusoidal -symmetric complex crystals of finite thickness is theoretically investigated by the derivation of exact analytical expressions for reflection and transmission coefficients in terms of modified Bessel functions of first kind. The analytical results indicate that unidirectional invisibility, recently predicted for such crystals by coupled-mode theory (Z Lin et al 2011 Phys. Rev. Lett. 106 213901), breaks down for crystals containing a large number of unit cells. In particular, for a given modulation depth in a shallow sinusoidal potential, three regimes are encountered as the crystal thickness is increased. At short lengths the crystal is reflectionless and invisible when probed from one side (unidirectional invisibility), whereas at intermediate lengths the crystal remains reflectionless but not invisible; for longer crystals both unidirectional reflectionless and invisibility properties are broken.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dfcf562d2d867f33a022c574ec49513a666e4eec
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Unidirectional reflectionless light propagation at exceptional points (2017, methodology): “Later on, Longhi reconsidered the scattering properties of this sinusoidal PT-symmetric Bragg scatterer (Figure 2A) using modified Bessel functions of the first kind [39].”