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We describe one-dimensional stationary scattering of a two-component wave field by a non-Hermitian matrix potential which features odd-$PT$ symmetry, i.e., symmetry with $(PT)^2=-1$. The scattering is characterized by a $4\times 4$ transfer…

Optics · Physics 2019-01-23 Vladimir V. Konotop , Dmitry A. Zezyulin

The scattering of quantum particles by non-hermitian (generally nonlocal) potentials in one dimension may result in asymmetric transmission and/or reflection from left and right incidence. Eight generalized symmetries based on the discrete…

Quantum Physics · Physics 2018-01-17 A. Ruschhaupt , T. Dowdall , M. A. Simón , J. G. Muga

Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for different number of channels in the case of a…

chao-dyn · Physics 2008-02-03 Karol Życzkowski

Using the unitarity and reciprocity properties of the scattering matrix, we analyse the symmetry and resonant optical properties of the photonic crystal slabs (PCS) with complicated unit cell. We show that the reflectivity is not changed…

Other Condensed Matter · Physics 2009-11-10 N. A. Gippius , S. G. Tikhodeev , T. Ishihara

We demonstrate, both theoretically and experimentally, that arbitrary scatterers preserving parity-time-duality ($\mathcal{P}\cdot\mathcal{T}\cdot\mathcal{D}$) symmetry inherently produce a backscattered wave whose electric field is the…

Optics · Physics 2025-01-23 Roee Geva , Mário G. Silveirinha , Raphael Kastner

In this manuscript we identify the main differences between the effects of Kramers symmetry on the systems with even and odd number of electrons, the ways how the aforementioned symmetry affects the structure of the Conical Seams (CSs), and…

Chemical Physics · Physics 2018-12-26 Ruixi Wang , Vladimir Chernyak

One main challenge in time series anomaly detection for industrial IoT lies in the complex spatio-temporal couplings within multivariate data. However, traditional anomaly detection methods focus on modeling spatial or temporal dependencies…

Machine Learning · Computer Science 2025-09-30 Tao Yin , Xiaohong Zhang , Shaochen Fu , Zhibin Zhang , Li Huang , Yiyuan Yang , Kaixiang Yang , Meng Yan

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no…

Quantum Physics · Physics 2015-06-16 Anjana Sinha , R. Roychoudhury

The simple form of the optical theorem of scattering theory, $\sigma_{\rm tot}^{\rm pw} = (4\pi/k)\,\Im f(0)$, is valid for an incident plane wave or for a wave packet whose Fourier components possess azimuthal symmetry about the incident…

Optics · Physics 2026-05-01 Sepehr Samiei

The combination of gain and loss in optical systems that respect parity-time (PT)-symmetry has pointed recently to a variety of novel optical phenomena and possibilities. Many of them can be realized by combining the PT-symmetry concepts…

Twisting symmetries provides an efficient method to diagnose symmetry-protected topological (SPT) phases. In this paper, edge theories of (2+1)-dimensional topological phases protected by reflection as well as other symmetries are studied…

Strongly Correlated Electrons · Physics 2015-06-03 Gil Young Cho , Chang-Tse Hsieh , Takahiro Morimoto , Shinsei Ryu

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

Symmetry-protected topological (SPT) phases are short-range entangled quantum states characterized by anomalous edge behavior, a manifestation of the bulk-boundary correspondence for topological phases. Moreover, the Li-Haldane conjecture…

Strongly Correlated Electrons · Physics 2025-06-17 Chao Xu , Yunlong Zang , Yixin Ma , Yingfei Gu , Shenghan Jiang

Periodically time-varying media, known as photonic time crystals (PTCs), provide a promising platform for observing unconventional wave phenomena. We analyze the scattering of electromagnetic waves from spatially finite PTCs using the…

In this paper, we study time-harmonic electromagnetic scattering in two scenarios, where the anomalous scatterer is either a pair of electromagnetic sources or an inhomogeneous medium, both with compact supports. We are mainly concerned…

Analysis of PDEs · Mathematics 2022-04-07 Huaian Diao , Xiaoxu Fei , Hongyu Liu , Ke Yang

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

We revisit the total scatterings (in terms of extinction, scattering and absorption cross sections) by arbitrary clusters of nonmagnetic particles that support optically-induced magnetic responses. Our reexamination is conducted from the…

Optics · Physics 2020-09-23 Qingdong Yang , Weijin Chen , Yuntian Chen , Wei Liu

Non-Hermitian, one-dimensional potentials which are also non-local, allow for scattering asymmetries, namely, asymmetric transmission or reflection responses to the incidence of a particle from left or right. The symmetries of the potential…

Quantum Physics · Physics 2020-11-11 Andreas Ruschhaupt , Anthony Kiely , Miguel Ángel Simón , J. Gonzalo Muga

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

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