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Suppose that a plane wave is incident onto an impenetrable grating profile of Dirichlet or Impedance type or a penetrable grating. The grating interface is assumed to be given by a Lipschitz function in two dimensions. We derive stability…

Analysis of PDEs · Mathematics 2023-04-11 Linlin Zhu , Guanghui Hu

Diffraction gratings with large angular dispersion rates are central to obtaining high spectral resolution in grating spectrometers operating over a broad spectral range from infrared to soft-x-ray domains. The greatest challenge is of…

Optics · Physics 2021-05-18 Yuri Shvyd'ko

Optical Doppler shift demonstration experiments are not a simple task since the light source cannot usually be moved in a sufficiently smooth and uniform manner to keep the level of noise well below of that of the signal. For that reason…

Physics Education · Physics 2015-06-26 L. Bernal , L. Bilbao

Phase gradient metagratings/metasurfaces (PGMs) have provided a new paradigm for light manipulations. In this work, we will show the existence of gauge invariance in PGMs, i.e., the diffraction law of PGMs is independent of the choice of…

Optics · Physics 2021-07-06 Qingjia zhou , Lei Gao , Yadong Xu

The general features of the light scattering resulting in the so-called resonant Wood's anomalies in the reflection and transmission spectra are described using the effective parameters of a quasi-guided mode. The expression determining the…

Optics · Physics 2016-12-28 Mikhail M. Voronov

We experimentally characterize the positions of the diffraction maxima of a phase grating on a screen, for laser light at oblique incidence (so-called off-plane diffraction or conical diffraction). We discuss the general case of off-plane…

Optics · Physics 2021-05-12 Georg Heuberger , Juergen Klepp , Jinxin Guo , Yasuo Tomita , Martin Fally

Guided-mode resonances in diffraction gratings are manifested as peaks (dips) in reflection (transmission) spectra. Smaller resonance line widths (higher Q-factors) ensure stronger light-matter interactions and are beneficial for…

We study the field-angle resolved electronic Raman scattering in 2-dimensional d-wave superconducting vortex states theoretically by quasi-classical approximation, the so-called Doppler-shift method. An analytic expression is obtained for…

Superconductivity · Physics 2014-08-22 Masaru Okada , Nobuhiko Hayashi

The frequency shift of spectral lines from astronomical objects is most often explained by the Doppler Effect arising in relative motion and the broadening of a particular line is supposed to depend on the absolute temperature, pressure or…

Astrophysics · Physics 2007-05-23 Sisir Roy , Menas Kafatos , Suman Datta

Future NASA X-ray Observatories will shed light on a variety of high-energy astrophysical phenomena. Off-plane reflection gratings can be used to provide high throughput and spectral resolution in the 0.3--1.5 keV band, allowing for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Ryan Allured , Randall L. McEntaffer

Diffraction gratings disperse light in a rainbow of colors with the opposite order than refractive prisms, a phenomenon known as negative dispersion. While refractive dispersion can be controlled via material refractive index, diffractive…

Optics · Physics 2017-06-21 Ehsan Arbabi , Amir Arbabi , Seyedeh Mahsa Kamali , Yu Horie , Andrei Faraon

We explain the rotational Doppler effect associated with light beams carrying with orbital angular momentum in left-handed materials (LHMs). We demonstrate that the rotational Doppler effect in LHMs is unreversed, which is significantly…

It is known that an acoustic wave incident on an infinite array of aligned rectangular blocks of a different acoustic material exhibits total transmission if certain conditions are met [1] which relate the unique "intromission" angle of…

Computational Physics · Physics 2017-08-23 Andrew N. Norris , Xiaoshi Su

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is exposed to radiation, typically light or ultrasound, and the…

Numerical Analysis · Mathematics 2024-03-26 Clemens Kirisits , Noemi Naujoks , Otmar Scherzer

We study the diffraction of Damon-Eshbach-type spin waves incident on a one-dimensional grating realized by micro slits in a thin permalloy film. By means of time-resolved scanning Kerr microscopy we observe unique diffraction patterns…

Other Condensed Matter · Physics 2015-05-30 S. Mansfeld , J. Topp , K. Martens , J. N. Toedt , W. Hansen , D. Heitmann , S. Mendach

In optical devices like diffraction gratings and Fresnel lenses, light wavefront is engineered through the structuring of device surface morphology, within thicknesses comparable to the light wavelength. Fabrication of such diffractive…

Optics · Physics 2021-07-28 S. L. Oscurato , F. Reda , M. Salvatore , F. Borbone , P. Maddalena , A. Ambrosio

The well-known linear Doppler effect arises from the linear motion between source and observer, while the less well-known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments…

Optics · Physics 2019-12-10 Liang Fang , Miles J. Padgett , Jian Wang

Negative refraction is such a prominent electromagnetic phenomenon that most researchers believe it can only occur in artificially engineered metamaterials. In this article, we report negative refraction for all incident angles for the…

Materials Science · Physics 2010-02-02 Jingbo Sun , Ji Zhou , Lei Kang , Rui Wang , Xianguo Meng , Bo Li , Feiyu Kang , Longtu Li

The Doppler shift is investigated in one-dimensional system with moving source. Theoretical findings are confirmed in numerical simulations of optical and acoustical waves propagation in simple metamaterial model, showing the reversed shift…

Optics · Physics 2015-06-23 David Ziemkiewicz , Sylwia Zielińska-Raczyńska

This paper is concerned with the inverse diffraction problems by a periodic curve with Dirichlet boundary condition in two dimensions. It is proved that the periodic curve can be uniquely determined by the near-field measurement data…

Analysis of PDEs · Mathematics 2022-03-01 Xiaoxu Xu , Guanghui Hu , Bo Zhang , Haiwen Zhang