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We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implementing the corresponding quasi-Hermitian…

Mathematical Physics · Physics 2015-05-20 H. Hernandez-Coronado , D. Krejcirik , P. Siegl

Dynamic scattering remains a significant challenge to the practical deployment of anti-scattering imaging. Existing methods, such as transmission matrix measurements, iterative wavefront shaping, and optical phase conjugation, depend on a…

We show that in one dimension the transfer matrix M of any scattering potential v coincides with the S-matrix of an associated time-dependent non-Hermitian 2 x 2 matrix Hamiltonian H(\tau). If v is real-valued, H(\tau) is pseudo-Hermitian…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

The recently-developed notion of 'parity-time (PT) symmetry' in optical systems with a controlled gain-loss interplay has spawned an intriguing way of achieving optical behaviors that are presently unattainable with standard arrangements.…

Optics · Physics 2016-12-21 Peng Peng , Wanxia Cao , Ce Shen , Weizhi Qu , Jianming Wen , Liang Jiang , Yanhong Xiao

Parity-time-reversal symmetry ($\mathcal{PT}$ symmetry), a symmetry for the combined operations of space inversion ($\mathcal{P}$) and time reversal ($\mathcal{T}$), is a fundamental concept of physics and characterizes the functionality of…

Materials Science · Physics 2024-06-21 Hikaru Watanabe , Youichi Yanase

Open, non-equilibrium systems with balanced gain and loss, known as parity-time ($\mathcal{PT}$)-symmetric systems, exhibit properties that are absent in closed, isolated systems. A key property is the $\mathcal{PT}$-symmetry breaking…

Quantum Physics · Physics 2018-01-10 Andrew K. Harter , Franck A. Onanga , Yogesh N. Joglekar

Recent theoretical studies of a pair of atoms in a 1D waveguide find that the system responds asymmetrically to incident fields from opposing directions at low powers. Since there is no explicit time-reversal symmetry breaking elements in…

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

An electron beam may experience an anomalous spatial shift during an interface scattering process. Here, we investigate this phenomenon for reflection from mirror-symmetry-protected nodal-ring semimetals, which are characterized by an…

Materials Science · Physics 2025-12-17 Runze Li , Chaoxi Cui , Ying Liu , Zhi-Ming Yu , Shengyuan A. Yang

Twisted photons (i.e. photons carrying non-zero orbital angular momentum) are well-known in optics. Recently, it was suggested to use Compton backscattering off an ultra-relativistic electron beam to boost optical twisted photons into the…

High Energy Physics - Phenomenology · Physics 2011-02-02 I. P. Ivanov

It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector…

Analysis of PDEs · Mathematics 2021-01-22 Guang-Hui Hu , Manmohan Vashisth , Jiaqing Yang

Parity-Time (PT) symmetric wave devices, which exploit balanced interactions between material gain and loss, exhibit extraordinary properties, including lasing and flux-conserving scattering processes. In a seemingly different research…

Optics · Physics 2018-01-31 Theodoros T. Koutserimpas , Andrea Alu , Romain Fleury

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

We complexify a 1-d potential which exhibits bound, reflecting and free states to study various properties of a non-Hermitian system. This potential turns out a PT-symmetric non-Hermitian potential when one of the parameters becomes…

Quantum Physics · Physics 2015-06-17 Ananya Ghatak , Raka Dona Ray Mandal , Bhabani Prasad Mandal

We study symmetry-enriched topological (SET) phases in 2+1 space-time dimensions with spatial reflection and/or time-reversal symmetries. We provide a systematic construction of a wide class of reflection and time-reversal SET phases in…

Strongly Correlated Electrons · Physics 2023-07-18 Maissam Barkeshli , Parsa Bonderson , Chao-Ming Jian , Meng Cheng , Kevin Walker

Lossless linear wave propagation is symmetric in time, a principle which can be used to create time reversed waves. Such waves are special 'pre-scattered' spatiotemporal fields, which propagate through a complex medium as if observing a…

The Hermitian systems possess unitary scattering; however, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non-Hermiticity is mostly non-unitary. Here we prove that the unitary…

Mesoscale and Nanoscale Physics · Physics 2022-01-31 L. Jin

It is known that the perfect absorption of two identical waves incident on a complex potential from left and right can occur at a fixed real energy and that the time-reversed setting of this system would act as a laser at threshold at the…

Quantum Physics · Physics 2014-09-26 Zafar Ahmed

Scattering activities are generally manifest through different optical responses of scattering bodies to circularly polarized light of opposite handedness. Similar to the ubiquitous roles played by scattering theory across different…

Optics · Physics 2020-03-18 Weijin Chen , Qingdong Yang , Yuntian Chen , Wei Liu

We consider a type of hypothetical compound materials in which its refractive index in spatial distribution meet $n(-x)=-n^{*}(x)$, belonging to anti-parity-time (APT) symmetric structures. Additionally, we demand balanced real positive-…

Optics · Physics 2025-04-25 Jeng Yi Lee
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