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We develop a new symbolic-numeric algorithm for the certification of singular isolated points, using their associated local ring structure and certified numerical computations. An improvement of an existing method to compute inverse systems…

符号计算 · 计算机科学 2011-01-18 Angelos Mantzaflaris , Bernard Mourrain

Systems of highly degenerate ordered or frozen state may exhibit inverse melting (reversible crystallization upon heating) or inverse freezing (reversible glass transition upon heating). This phenomena is reviewed, and a list of…

统计力学 · 物理学 2009-11-11 Nurith Schupper , Nadav M. Shnerb

Confocal microscopy of fluorescent labeled particles has been used to study the dynamical and structural properties of colloidal and granular matter in real space. Localization algorithms allow for a fully automatized determination of the…

软凝聚态物质 · 物理学 2011-12-08 Marcel Roth , Michael Franzmann , Maria D'Acunzi , Max Kreiter , Günter K. Auernhammer

Non-Hermitian physics has found a fertile ground in optics. Recently, the study of mode degeneracies, i.e. exceptional points, has led to the discovery of intriguing and counterintuitive phenomena. Degeneracies are typically modeled through…

光学 · 物理学 2022-03-29 Stefano Biasi , Riccardo Franchi , Filippo Mione , Lorenzo Pavesi

Interference is conventionally attributed to path-accumulated phase differences, with measurement treated as a passive readout. Here we demonstrate that single-particle interference is governed by the relative phase between the prepared…

量子物理 · 物理学 2026-04-21 Tai Hyun Yoon

The edge diffraction of a homogeneously polarized light beam is studied theoretically based on the paraxial optics and Fresnel-Kirchhoff approximation, and the dependence of the diffracted beam pattern of the incident beam polarization is…

光学 · 物理学 2017-08-02 Aleksandr Ya. Bekshaev

Time-multiplexed networks of degenerate optical parametric oscillators have demonstrated remarkable success in simulating coupled Ising spins, thus providing a promising route to solving complex combinatorial optimization problems. In these…

Nonsequential two-photon ionization of inner-shell $np$ subshell of neutral atoms by circularly polarized light is investigated. Detection of subsequent fluorescence as a signature of the process is proposed and the dependence of…

原子物理 · 物理学 2019-07-17 J. Hofbrucker , A. V. Volotka , S. Fritzsche

The response of a pair of differently polarized antennas is determined by their polarization states AND a phase between them which has a geometric part which becomes discontinuous at singular points in the parameter space. Such phase…

天体物理学 · 物理学 2016-08-30 Rajendra Bhandari

The Stokes V parameter characterizes asymmetry of amplitudes between right- and left-handed waves, and non-vanishing value of the V parameter yields a circularly polarized signal. Cosmologically, V parameter may be a direct probe for parity…

天体物理学 · 物理学 2008-11-26 Naoki Seto , Atsushi Taruya

An interferometric imaging technique has been proposed to instantly measure the diameter of individual spherical dust particles suspended in a gas discharge plasma. The technique is based on the defocused image analysis of both spherical…

等离子体物理 · 物理学 2016-04-06 M. Chaudhuri , V. Nosenko , H. M. Thomas

A scheme to encode arbitrarily long integer pairs on degenerate optical parametric oscillations multiplexed in time is proposed. The classical entanglement between the polarization directions and the phases of the oscillating pulses,…

量子物理 · 物理学 2022-05-25 Minghui Li , Wei Wang , Zikang Tang , Hou Ian

We demonstrate a polarimetry technique based on geometric phase measurements. The technique can be used to obtain either the polarization state of a light beam or the properties of a polarizing optical system. On the one hand, we apply our…

Polarimetric imaging is one of the most effective techniques for high-contrast imaging and characterization of circumstellar environments. These environments can be characterized through direct-imaging polarimetry at near-infrared…

天体物理仪器与方法 · 物理学 2021-09-29 Laurence Denneulin , Maud Langlois , Éric Thiébaut , Nelly Pustelnik

We report an optical method of generating arbitrary polarization states by manipulating the thicknesses of a pair of uniaxial birefringent plates, the optical axes of which are set at a crossing angle of {\pi}/4. The method has the…

光学 · 物理学 2023-08-03 Akihiro Tomura , Makoto Nomura , Chiaki Ohae , Masayuki Katsuragawa

A method is presented for the evaluation of integrals on tetrahedra where the integrand has an integrable singularity at one vertex. The approach uses a transformation to spherical polar coordinates which explicitly eliminates the…

数值分析 · 数学 2022-05-05 Michael J. Carley

Holography is an optical technique enabling to record phase objects. Holographic interferometry uses this faculty to make a phase object interfere with a memory of itself at a preceding time, recorded on a hologram. Interference fringes…

流体动力学 · 物理学 2009-11-23 Jean Colombani , Jacques Bert

Matter-wave interferometry has been largely studied in the last few years. Usually, the main problem in the analysis of the diffraction experiments is to establish the causes for the loss of coherence observed in the interference pattern.…

量子物理 · 物理学 2008-11-26 Paula I. Villar , Fernando C. Lombardo

We experimentally implement an optical algorithm for integration of a real-valued bivariate func- tion. A user-defined function is encoded in the position-dependent phase of one of the polarization components of an optical beam. The…

To find consistent initial data points for a system of differential-algebraic equations, requires the identification of its missing constraints. An efficient class of structural methods exploiting a dependency graph for this task was…

数值分析 · 数学 2022-11-01 Wenqiang Yang , Wenyuan Wu , Greg Reid