Invisibility and PT symmetry

By Ali Mostafazadeh. 2012

145 citations recorded by the source corpus.

For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the PT-symmetric an well as non-PT-symmetric invisible configurations of an easily realizable exactly solvable model that consists of a two-layer planar slab consisting of optically active material. Our analysis shows that although PT-symmetry is neither necessary nor sufficient for the invisibility of a scattering potential, it plays an important role in the characterization of the invisible configurations. A byproduct of our investigation is the discovery of certain configurations of our model that are effectively reflectionless in a spectral range as wide as several hundred nanometers.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/14080eeea1b77ac48e14fdae1c1249033d2aadd5

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Generalized parity–time symmetry condition for enhanced sensor telemetry (2018, background): “PT - symmetric optical structures with balanced gain and loss have unveiled several exotic properties and applications, including unidirectional scattering [14],[15], coherent perfect absorber-laser [16],[17], single-mode micro-ring laser [18]-[20], and optical non-reciprocity [21][24].”
Unidirectional reflectionless light propagation at exceptional points (2017, background): “Therefore, can a non-PT-symmetric system, in which the relation n(−z) = n∗(z) for the refractive index profile does not hold, lead to asymmetric reflection? It has been reported that unidirectional reflectionlessness can be realized in a two-layer non-PT-symmetric slab structure by tuning both the r”
Nonlinear switching and solitons in PT‐symmetric photonic systems (2015, methodology): “V. Bludov, D. N. Christodoulides, R. Driben, H. F. Jones, Y. V. Kartashov, P. G. Kevrekidis, V. V. Konotop, T. Kottos, S. Longhi, A. Lupu, B. A. Malomed, M. I. Molina, A. Mostafazadeh, Z. H. Musslimani, U. Peschel, A. Szameit, J. K. Yang, and A. V. Yulin, who have read the original version of the ma”