Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
Stone, A. Douglas
Date of Issue2012
School of Physical and Mathematical Sciences
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.
DRNTU::Science::Physics::Optics and light
Physical review A
©2012 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevA.85.023802. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.