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We study cones and cylinders with a 1-parametric isometric deformation carrying at least two planar curves, which remain planar during this continuous flexion and are located in non-parallel planes. We investigate this geometric/kinematic…

计算几何 · 计算机科学 2023-03-15 Georg Nawratil

The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that is embedded in a perfectly electrically conducting infinite ground plane. By introducing a transparent boundary…

数值分析 · 数学 2021-04-28 Yanli Chen , Xue Jiang , Jun Lai , Peijun Li

A method for displaying volumetric images, which exploits our binocular vision and does not require eyewear, is discussed. The display can be rendered as a matrix of pivoting micromirrors irradiated by a light beam; each micromirror focuses…

光学 · 物理学 2007-07-04 Oleg G. Semyonov

Nearly concentric optical cavities can be used to prepare optical fields with a very small mode volume. We implement an anaclastic design of a such a cavity that significantly simplifies mode matching to the fundamental cavity mode. The…

量子物理 · 物理学 2014-10-08 Kadir Durak , Chi Huan Nguyen , Victor Leong , Stanislav Straupe , Christian Kurtsiefer

In this paper, we analytically prove a unique duality relation between the eigenspectra of paraxial optical cavities with non-spherical mirrors: a one-to-one mapping between eigenmodes and eigenvalues of cavities deviating from flat mirrors…

广义相对论与量子宇宙学 · 物理学 2014-04-01 Juri Agresti , Yanbei Chen , Erika D'Ambrosio , Pavlin Savov

We report a process for fabricating high quality, defect-free spherical mirror templates suitable for developing high finesse optical Fabry-Perot resonators. The process utilizes the controlled reflow of borosilicate glass and differential…

量子物理 · 物理学 2015-05-30 Arpan Roy , Murray D. Barrett

Concave mirrors are fundamental optical elements, yet some easily observed behaviors are rarely addressed in standard textbooks, such as the formation of multiple reflected images. Here we investigate self-imaging -- where the observer is…

光学 · 物理学 2025-12-30 Thach A. Nguyen , Kaitlyn S. Yasumura , Duy V. Tran , Trung V. Phan

The resonant optical modes of a high permittivity dielectric prism with an equilateral triangular cross section are discussed. Eigenmode solutions of the scalar Helmholtz equation with Dirichlet boundary conditions, appropriate to a…

光学 · 物理学 2007-05-23 G. M. Wysin

Two-dimensional dielectric microcavities are of widespread use in microoptics applications. Recently, a trace formula has been established for dielectric cavities which relates their resonance spectrum to the periodic rays inside the…

光学 · 物理学 2015-05-27 Robert F. M. Hales , Martin Sieber , Holger Waalkens

In this paper we consider the numerical approximation of the two-phase membrane (obstacle) problem by finite difference method. First, we introduce the notion of viscosity solution for the problem and construct certain discrete nonlinear…

数值分析 · 数学 2014-07-04 Avetik Arakelyan , Rafayel Barkhudaryan , Michael Poghosyan

In analogy with optical near-field scanning methods, we use tapered dielectric waveguides as probes for a millimeter wave vector network analyzer. By scanning thin samples between two such probes we are able to map the spatially varying…

软凝聚态物质 · 物理学 2009-11-13 Nathan S. Greeney , John A. Scales

The surface figure of x-ray mirrors can be improved by differential deposition of thin films. To achieve the required corrections, WSi2 layers of variable thickness were deposited through beam-defining apertures of different openings. The…

光学 · 物理学 2025-06-03 Ch. Morawe , S. Labouré , F. Perrin , A. Vivo , R. Barrett

Optical cavities with moving mirrors provide a versatile platform for exploring radiation-matter interactions and optically mediated mechanical effects, whose control has wide technological implications. However, capturing the coupled…

光学 · 物理学 2026-01-06 Francesco Lorenzi , Maria Guglielmina Pelizzo , Luca Salasnich

We present a method to implement 3-dimensional polariton confinement with in-situ spectral tuning of the cavity mode. Our tunable microcavity is a hybrid system consisting of a bottom semiconductor distributed Bragg reflector (DBR) with a…

Polytopal methods provide a flexible framework for the numerical approximation of partial differential equations on general meshes. Their convergence analysis raises specific challenges due to their inherently non-conforming nature and, in…

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the…

光学 · 物理学 2009-11-10 Diana C. Skigin

We propose a novel method to generate vector beams in planar photonic crystal cavities with multiple missing-hole defects. Simulating the resonant modes in the cavities, we observe that the optical fields in each defect have different phase…

光学 · 物理学 2014-04-15 Chenyang Zhao , Xuetao Gan , Sheng Liu , Yan Pang , Jianlin Zhao

The design of new low-mechanical-loss, high reflectivity mirrors is crucial in the development of the next generation of gravitational-wave observatories. Currently, the state-of-the-art amorphous multilayer reflective coatings which are…

This paper addresses the problem of mirror surface reconstruction, and proposes a solution based on observing the reflections of a moving reference plane on the mirror surface. Unlike previous approaches which require tedious calibration,…

计算机视觉与模式识别 · 计算机科学 2021-01-26 Kai Han , Miaomiao Liu , Dirk Schnieders , Kwan-Yee K. Wong

Optical bottle beams, characterized by their unique three-dimensional dark core, have garnered substantial interest due to their potential applications across multiple domains of science and technology. This paper delves into the current…

光学 · 物理学 2023-12-21 Nicolas Perez , Daryl Preece