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The analysis of the Doppler effect for photons in rotating systems, studied using the M\"ossbauer effect, confirms the general conclusions of a previous paper dedicated to experiments with photons emitted/absorbed by atoms/nuclei in…

History and Philosophy of Physics · Physics 2015-02-04 Giuseppe Giuliani

Shock waves are fundamental in nature. One of the most fundamental problems in fluid mechanics is shock reflection-diffraction by wedges. The complexity of reflection-diffraction configurations was first reported by Ernst Mach in 1878. The…

Analysis of PDEs · Mathematics 2013-11-25 Gui-Qiang G. Chen , Mikhail Feldman

When a phase singularity is suddenly imprinted on the axis of an ordinary Gaussian beam, an optical vortex appears and starts to grow radially, by effect of diffraction. This radial growth and the subsequent evolution of the optical vortex…

Wave scattering phenomena are ubiquitous to almost all Sciences, from Biology to Physics. When an incident wave scatters off of an obstacle, it is partially reflected and partially transmitted. Since the scatterer absorbs part of the…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Theo Torres , Sam Patrick , Antonin Coutant , Mauricio Richartz , Edmund W. Tedford , Silke Weinfurtner

Relativistic definition of the phase of the electromagnetic field, involving two Lorentz invariants, based on the Riemann-Silberstein vector is adopted to extend our previous study [I. Bialynicki-Birula, Z. Bialynicka-Birula and C. Sliwa,…

Classical Physics · Physics 2009-11-10 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

Optical vortices arise as phase singularities of the light fields and are of central interest in modern optical physics. In this paper, some existence theorems are established for stationary vortex wave solutions of a general class of…

Mathematical Physics · Physics 2012-09-24 Yisong Yang , Ruifeng Zhang

There has been a recent tendency to apply Schroedinger's wave equation to macroscopic domains, from Bose-Einstein condensates in neutron stars to planetary orbits. In these applications a hydrodynamical interpretation, involving vortices in…

Quantum Physics · Physics 2007-05-23 J. Orlin Grabbe

We study the disordered, multi-spiral solutions of two-dimensional homogeneous oscillatory media for parameter values at which the single spiral/vortex solution is fully stable. In the framework of the complex Ginzburg-Landau (CGLE)…

Statistical Mechanics · Physics 2016-08-31 Carolina Brito , Igor S. Aranson , Hugues Chate

We use phase-shifting digital holography to measure the amplitude and phase of twisted light. In our experiment, a spatial light modulator generates the studied vortex beams in addition to a co-propagating reference beam with a controllable…

In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

This paper aims to shed some more light on one of the best known phenomena in the field of physics, the Doppler effect, in particular, on its classical version. Although, as mentioned, it is a phenomenon already described more than 150…

Classical Physics · Physics 2024-09-24 Óscar Alejos , José María Muñoz

We report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

Fluid Dynamics · Physics 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

An experiment is described that tests theoretical predictions on how C-lines incident obliquely on a surface behave on reflection. C-lines in a polarised wave are the analogues of the optical vortices carried by a complex scalar wave, which…

Optics · Physics 2015-06-18 W. Löffler , J. F. Nye , J. H. Hannay

Manifestations of orbital angular momentum induced effects in the diffraction of a radially polarized vector beam by an off-axis tilted aperture are studied both experimentally and theoretically. Experiments were carried out to extract the…

The spin degree of freedom in quantum phases of the second Landau level is probed by resonant light scattering. The long wavelength spin wave, which monitors the degree of spin polarization, is at the Zeeman energy in the fully…

Strongly Correlated Electrons · Physics 2015-03-17 Trevor D. Rhone , Jun Yan , Yann Gallais , Aron Pinczuk , Loren Pfeiffer , Ken West

We report on the simultaneous determination of complementary wave and particle aspects of light in a double-slit type "welcher-weg" experiment beyond the limitations set by Bohr's Principle of Complementarity. Applying classical logic, we…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar , Eduardo Flores , Keith F. McDonald , Ernst Knoesel

Wave scattering phenomena are ubiquitous in almost all Sciences, from Biology to Physics. Interestingly, it has been shown many times that different physical systems are the stage to the same processes. The discoveries of such analogies…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Theo Torres

The circular Bragg phenomenon is the circular-polarization-state-selective reflection of light in a spectral regime called the circular Bragg regime. In continuation of an expository review on this phenomenon published in 2014, an album of…

Optics · Physics 2025-04-11 Akhlesh Lakhtakia

We consider a new geometric approach to Madelung's quantum hydrodynamics (QHD) based on the theory of gauge connections. In particular, our treatment comprises a constant curvature thereby endowing QHD with intrinsic non-zero holonomy. In…

Mathematical Physics · Physics 2025-11-11 Michael S. Foskett , Cesare Tronci

Here we extend the Madelung transformation of the Schr\"{o}dinger equation into a fluid-like form to include the influence of an external electromagnetic field on a charged particle. The vorticity of the Madelung fluid is then in the…

Fluid Dynamics · Physics 2022-04-05 Eyal Heifetz , Leo R. M. Maas , Julian Mak
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