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Design and reconstruction of 2d and 3d photonic structures are usually carried out by forward simulations combined with optimization or intuition. Reconstruction by means of layer-stripping has been applied in seismic processing as well as…

Optics · Physics 2011-05-19 Marte P. Hatlo Andresen , Harald E. Krogstad , Johannes Skaar

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

Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments of the field to be…

Analysis of PDEs · Mathematics 2018-12-26 Pedro Caro , Tapio Helin , Antti Kujanpää , Matti Lassas

We study the light scattering of homogenous radially-anisotropic spherical particles. It is shown that radial anisotropy can be employed to tune effectively the electric resonances, and thus enable flexible overlapping of electric and…

Optics · Physics 2023-07-19 Wei Liu

Lie algebra is a hidden mathematical structure behind various quantum systems realised in nature. Here, we consider $SU(2)$ wavefunctions for polarisation states of coherent photons emitted from a laser source, and discuss the relationship…

Optics · Physics 2023-07-10 Shinichi Saito

The impact of the short-range interaction on the resonances occurrence in the anisotropic dipolar scattering in a plane was numerically investigated for the arbitrarily oriented dipoles and for a wide range of collision energies. We…

Atomic Physics · Physics 2020-11-17 Eugene A. Koval , Oksana A. Koval

Optical routers are fundamental to photonic systems, but their performance is often limited by unwanted reflections and constrained functionalities. Existing design strategies generally lack complete control over reflectionless pathways and…

Optics · Physics 2026-01-09 Yongxing Wang , Zehui Du , Zhenshuo Xu , Pei Xiao , Jizi Lin , Yufeng Zhang , Jie Luo

Recent theoretical and experimental advances have shed light on the existence of so-called `perfectly transmitting' wavefronts with transmission coefficients close to 1 in strongly backscattering random media. These perfectly transmitting…

Optics · Physics 2015-06-18 Curtis Jin , Raj Rao Nadakuditi , Eric Michielssen , Stephen Rand

The extraordinary properties of resonant four-wave mixing of backward waves in doped negative-index materials are investigated. The feasibility of independent engineering of negative refractive index and nonlinear optical response as well…

The reciprocity principle governs the symmetry in transmission of electromagnetic and acoustic waves, as well as the diffusion of heat between two points in space, with important consequences for thermal management and energy harvesting.…

Applied Physics · Physics 2022-01-19 Jiaxin Li , Ying Li , Pei-Chao Cao , Xu Zheng , Yu-Gui Peng , Baowen Li , Xue-Feng Zhu , Andrea Alù , Cheng-Wei Qiu

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

We develop a model for the reflection and transmission of plane waves by an isotropic layer sandwiched between two uniaxial crystals of arbitrary orientation. In the laboratory frame, reflection and transmission coefficients corresponding…

Materials Science · Physics 2009-04-29 Erik S. Thomson , Larry A. Wilen , John S. Wettlaufer

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

In laser gravitational waves detectors optical loss restricts sensitivity. We discuss polarization scattering as one more possible mechanism of optical losses. Circulated inside interferometer light is polarized and after reflection its…

Instrumentation and Methods for Astrophysics · Physics 2020-02-20 Sergey P. Vyatchanin

On the basis of general theoretical results developed previously in [JETP 112, 246 (2011)], we analyze the reflection of quasiresonant light from a plane surface of dense and disordered ensemble of motionless point scatters. Angle…

Atomic Physics · Physics 2016-01-15 A. S. Kuraptsev , I. M. Sokolov

We introduce a special kind of nonreciprocal electromagnetic response which gives rise to backscattering suppression in the bulk, a long-sought feature in topological photonics, as well as nonreciprocal lensing - an effect when the same…

Optics · Physics 2026-02-11 Dmitry Vagin , Maxim A. Gorlach

Active development is taking place in reconfigurable and static metasurfaces that control and optimize reflections. However, existing designs typically only optimize reflections from the metasurface panels, neglecting interference with…

Applied Physics · Physics 2023-06-16 S. Kosulnikov , F. S. Cuesta , X. Wang , S. A. Tretyakov

We show that an inverse scattering problem for a semilinear wave equation can be solved on a manifold having an asymptotically Minkowskian infinity, that is, scattering functionals determine the topology, differentiable structure, and the…

Analysis of PDEs · Mathematics 2025-01-17 Spyros Alexakis , Hiroshi Isozaki , Matti Lassas , Teemu Tyni

In this article, we present the derivation of the asymptotic forms of the equations corresponding to the scattering coefficients of the exterior electric and magnetic fields of an infinite grating of insulating dielectric circular cylinders…

Mathematical Physics · Physics 2007-11-06 Omer Kavaklioglu , Baruch Schneider

Manipulation of acoustic wavefronts by thin and planar devices, known as metasurfaces, has been extensively studied, in view of many important applications. Reflective and refractive metasurfaces are designed using the generalized…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Ana Diaz-Rubio , Sergei A. Tretyakov
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