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We present an efficient method for the design of anomalous reflectors for acoustic waves. The approach is based on the fact that the anomalous reflector is actually a diffraction grating in which the amplitude of all the modes is negligible…

Applied Physics · Physics 2018-08-15 Daniel Torrent

We present a general dyadic vector circuit formalism, applicable for uniaxial magneto-dielectric slabs, with strong spatial dispersion explicitly taken into account. This formalism extends the vector circuit theory, previously introduced…

Classical Physics · Physics 2007-05-23 Pekka Ikonen , Mikhail Lapine , Igor Nefedov , Sergei Tretyakov

A formula for the wavefront of a wave reflected from a diffraction grating with an arbitrary surface profile, as well as with arbitrary non-equidistant and non-parallel grooves was obtained. It was shown that the wavefront of the reflected…

Optics · Physics 2024-10-25 Efim Khazanov

Molecular simulations of interfacial polar media routinely employ periodic boundary conditions parallel to the interface. We show that this lateral periodicity introduces a spatially uniform in-plane mode ($q_{\parallel}=0$) that is…

Statistical Mechanics · Physics 2026-04-14 Richard G. Hennig , Clotilde S. Cucinotta

We investigate the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel dielectric cylinders embedded a uniform medium. The frequency band structure is computed using the standard plane-wave expansion method,…

Optics · Physics 2009-11-10 Liang-Shan Chen , Chao-Hsien Kuo , Zhen Ye

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

Any discontinuity of constitutive parameters along a wave propagation path causes scattering. For a plane wave incident onto a flat dielectric slab, reflection becomes strongly dependent on the incident angle as the electrical thickness…

The fundamental optical effects that are at basis of giant reflection band and anomalous negative transmission in a self-sustained rectangular dielectric grating slab in P polarization and for incidence angle not very far from the…

Optics · Physics 2015-06-05 L. Pilozzi , D. Schiumarini , N. Tomassini , A. D'Andrea

We study the horizontal expansion of vertically confined ultra-cold atoms in the presence of disorder. Vertical confinement allows us to realize a situation with a few coupled harmonic oscillator quantum states. The disordered potential is…

Metal-dielectric multilayer metamaterials with extreme loss-anisotropy, in which the longitudinal component of the permittivity tensor has ultra-large imaginary part, are proposed and designed. Diffraction-free deep subwavelength beam…

Optics · Physics 2015-06-15 Yingran He , Lei Sun , Sailing He , Xiaodong Yang

We develop a general formalism to treat reflection of spherical electromagnetic waves from a spherical surface. Our main objective is interpretation of radio wave signals produced by cosmic ray interactions with Earth's atmosphere which are…

Classical Physics · Physics 2022-09-21 Paramita Dasgupta , Pankaj Jain

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

On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the…

Computational Physics · Physics 2007-05-23 V. V. Yatsyk

A device consisted of a set of circular rings, the centers of which lie on an axis, behaves like a solenoid when the ratio of its radius and distance between two successive rings is greater than one. As this ratio decreases, the device…

Classical Physics · Physics 2021-02-03 Y. Contoyiannis , M. Kampitakis

Neutron planar waveguides are focusing devices generating a narrow neutron beam of submicron width. Such a neutron microbeam can be used for the investigation of local microstructures with high spatial resolution. The essential parameter of…

Materials Science · Physics 2018-12-05 S. V. Kozhevnikov , V. D. Zhaketov , T. Keller , Yu. N. Khaydukov , F. Ott , F. Radu

We study the localization of classical waves in weakly scattering 2D systems with anisotropic disorder. The analysis is based on a perturbative path-integral technique combined with a spectral filtering that accounts for the first-order…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Samelsohn , Valentin Freilikher

A light beam propagating with an infinite anti-diffracting distance requires infinite power to preserve its shape. However, the fundamental barrier of finite power in free space has made the problem of diffraction insurmountable over the…

In pseudo integrable systems diffractive scattering caused by wedges and impurities can be described within the framework of Geometric Theory of Diffraction (GDT) in a way similar to the one used in the Periodic Orbit Theory of Diffraction…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 G. Vattay , J. Cserti , G. Palla , G. Szálka

Diffraction radiation (DR) is produced when a charged particle passes through an aperture or near a discontinuity in the media in which it is traveling. DR is closely related to transition radiation (TR), which is produced when a charged…

Accelerator Physics · Physics 2009-11-06 R. B. Fiorito , D. W. Rule

In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a boundary integral equation that is defined on the aperture…

Analysis of PDEs · Mathematics 2023-10-16 Ying Liang , Hai Zhang