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We investigate the impact of asymmetric perturbations on the perfect transmission resonances (PTRs) of one-dimensional finite periodic systems. With no perturbations, the scattering region consists of $N$ identical cells, and the…

A one-dimensional magnetophotonic crystal with a nonlinear defect placed either symmetrically or asymmetrically inside the structure is considered. Simultaneous effects of time-reversal nonreciprocity and nonlinear spatial asymmetry in the…

Optics · Physics 2012-07-03 Vladimir R. Tuz , Sergei V. Zhukovsky , Sergey L. Prosvirnin

Parity-Time ($\mathcal{PT}$) symmetry has become an important concept in the design of synthetic optical materials, with exotic functionalities such as unidirectional transport and non-reciprocal reflection. At exceptional points, this…

Optics · Physics 2021-02-22 K. E. Ballantine , J. Ruostekoski

We provide a description of the parity space reflection-time reversal (PT) operator acting on the two-dimensional polarization space of light represented by the linear algebra of Jones vectors and matrices. We establish the form of a…

Optics · Physics 2023-12-22 Jean-François Bisson

Phase modulation has scarcely been mentioned in diffusive systems since the diffusion process does not carry momentum like waves. Recently, the non-Hermitian physics provides a new perspective for understanding diffusion and shows prospects…

Applied Physics · Physics 2023-09-27 Pei-Chao Cao , Ran Ju , Dong Wang , Minghong Qi , Yun-Kai Liu , Yu-Gui Peng , Hongsheng Chen , Xue-Feng Zhu , Ying Li

We study the effect of unidirectional reflectivity in the bilayer optical model with the balanced loss/gain terms. It was found that if the impedances characterizing the scattering part are different from those describing the leads, a new…

Optics · Physics 2017-08-09 J. Ramirez-Hernandez , F. M. Izrailev , N. M. Makarov

Asymmetric transmission of circularly polarized waves is a well-established property of lossy, anisotropic, two-dimensionally chiral patterns. Here we show that asymmetric transmission can be observed for oblique incidence onto any lossy…

Optics · Physics 2010-11-18 E. Plum , V. A. Fedotov , N. I. Zheludev

Bragg scattering in sinusoidal PT-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…

Quantum Physics · Physics 2015-06-03 Stefano Longhi

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

We present a theoretical study of a novel polarization beam splitter (PBS), different to conventional time-reversal symmetry one, where can be totally reflected at two opposite sides with one specific linearly polarized light incident and…

Optics · Physics 2024-02-29 Jeng Yi Lee

Parity-time (PT) symmetry has been opening exciting opportunities in optics, yet the required careful balance of loss and gain has been hindering its practical implementations. Here, we propose a gain-free route to PT-symmetry based on…

Optics · Physics 2020-05-18 Huanan Li , Ahmed Mekawy , Alex Krasnok , Andrea Alù

Reciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to…

Optics · Physics 2020-10-08 Szu-Yu Lee , Vicente J. Parot , Brett E. Bouma , Martin Villiger

The nonreciprocal wave propagation in PT-symmetric periodic stack of binary dielectric layers characterised by balances loss and gain is analysed. The main mechanisms and resonant properties of the scattered plane waves are illustrated by…

Optics · Physics 2015-05-12 Oksana Shramkova , Giorgos Tsironis

A theoretical model based on two-point scatterers is suggested to investigate scattering of partially coherent radiation by a non-Hermitian localized structure, invariant under the simultaneous symmetry operations of parity inversion and…

Optics · Physics 2019-10-23 Paulo. A. Brandão , Solange B. Cavalcanti

We show theoretically and experimentally that the propagation of an acoustic wave in an airflow duct going through a pair of diaphragms, with equivalent amount of mean-flow-induced effective gain and loss, displays all the features of a…

Classical Physics · Physics 2017-05-03 Yves Aurégan , Vincent Pagneux

We show that parity-time (PT) symmetric Bragg periodic structures, near the spontaneous PT - symmetry breaking point, can act as unidirectional invisible media. In this regime, the re flection from one end is diminished while it is enhanced…

The physical aspects of partially coherent radiation interacting with deterministic non-Hermitian periodic materials remain largely unexplored in the statistical optics literature. Here, we consider the scattering of partially coherent…

Optics · Physics 2019-10-02 Paulo A. Brandão , S. B. Cavalcanti

The parity-time ($\mathcal{PT}$) symmetric structures have exhibited potential applications in developing various robust quantum devices. In an optical trimmer with balanced loss and gain, we analytically study the $\mathcal{PT}$ symmetric…

Quantum Physics · Physics 2019-10-21 L. F. Xue , Z. R. Gong , H. B. Zhu , Z. H. Wang

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…

Mathematical Physics · Physics 2013-03-12 Ali Mostafazadeh

Despite its non-Hermitian nature, the transverse optical beam shift exhibits both real eigenvalues and non-orthogonal eigenstates. To explore this unexpected similarity to typical PT (parity-time)-symmetric systems, we first categorize the…