Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
By L. Ge, Y. Chong, A. Douglas Stone. 2011
318 citations recorded by the source corpus.
We analyze the optical properties of one-dimensional PT-symmetric structures of arbitrary complexity. These structures violate normal unitarity (photon flux conservation) but are shown to satisfy generalized unitarity relations, which relate the elements of the scattering matrix and lead to a conservation relation in terms of the transmittance and (left and right) reflectances. One implication of this relation is that there exist anisotropic transmission resonances in PT-symmetric systems, frequencies at which there is unit transmission and zero reflection, but only for waves incident from a single side. The spatial profile of these transmission resonances is symmetric, and they can occur even at PT-symmetry-breaking points. The general conservation relations can be utilized as an experimental signature of the presence of PT symmetry and of PT-symmetry-breaking transitions. The uniqueness of PT-symmetry-breaking transitions of the scattering matrix is briefly discussed by comparing to the corresponding non-Hermitian Hamiltonians.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5015cd5c0fbd12bd44e22aa26c7235378fa478b8
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- PT-symmetric acoustics (2015, background): “From this relation, we can conclude that [41,43]”
- Unidirectional reflectionless light propagation at exceptional points (2017, background): “In addition, the generalized power representation , L R T R R + relates all the elements in the scattering matrix S and is essentially the power summation of the superposition of the two eigenstates [Equation (1)] [38].”