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One can often see caustic by reflection in nature, but it is rather hard to understand the way of how caustic arise and which geometric properties of a mirror surface define the geometry of the caustic. The caustic by reflection has…

微分几何 · 数学 2025-01-28 Alexander Yampolsky , Oleksandr Fursenko

Very little attention has been paid to the properties of optical wavefronts and caustic surfaces due to gravitational lensing. Yet the wavefront-based point of view is natural and provides insights into the nature of the caustic surfaces on…

天体物理学 · 物理学 2009-11-07 S. Frittelli , A. O. Petters

We consider compensated spherical lens models and the caustic surfaces they create in the past light cone. Examination of cusp and crossover angles associated with particular source and lens redshifts gives explicit lensing models that…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. F. R. Ellis , D. M. Solomons

This paper develops a rigorous mathematical framework for light propagation by constructing the optical phase space with its symplectic structure and the extended phase space with its contact structure. We prove that light rays in…

数学物理 · 物理学 2025-12-04 Rongqi Shang , Donglin Ma

We study the formation of images in a reflective sphere in three configurations using caustics of the field of light rays. The optical wavefront emerging from a source point reaching a subject following passage through the optical system…

Designing freeform surfaces to control light based on real-world illumination patterns is challenging, as existing caustic lens designs often assume oversimplified point or parallel light sources. We propose representing surface light…

图形学 · 计算机科学 2025-11-25 Sizhuo Zhou , Yuou Sun , Bailin Deng , Juyong Zhang

In the context of wave propagation, caustics are usually defined as the envelope of a finite-extent wavefront; folds and cusps in a caustic result in enhanced wave amplitudes. Here, we tackle a related phenomenon, namely the existence of…

介观与纳米尺度物理 · 物理学 2023-05-10 Alexis Wartelle , Franz Vilsmeier , Takuya Taniguchi , Christian H. Back

Dark matter caustics have specific density profiles and, therefore, precisely calculable gravitational lensing properties. We present a formalism which simplifies the relevant calculations, and apply it to four specific cases. In the first…

天体物理学 · 物理学 2009-11-07 C. Charmousis , V. Onemli , Z. Qiu , P. Sikivie

Conical refraction occurs when a beam of light travels through an appropriately cut biaxial crystal. By focussing the conically refracted beam through a high numerical aperture microscope objective, conical refraction optical tweezers can…

光学 · 物理学 2014-12-09 Craig McDonald , Craig McDougall , Edik Rafailov , David McGloin

Caustics occur in diverse physical systems, spanning the nano-scale in electron microscopy to astronomical-scale in gravitational lensing. As envelopes of rays, optical caustics result in sharp edges or extended networks. Caustics in…

Conventional caustic methods in real or Fourier space produced accelerating optical beams only with convex trajectories. We develop a superposition caustic method capable of winding light beams along non-convex trajectories. We ascertain…

光学 · 物理学 2016-08-03 Yuanhui Wen , Yujie Chen , Yanfeng Zhang , Hui Chen , Siyuan Yu

We investigate the caustic structure of a lens composed by a discrete number of point-masses, having mutual distances smaller than the Einstein radius of the total mass of the system. Along with the main critical curve, it is known that the…

天体物理学 · 物理学 2007-05-23 Valerio Bozza

We experimentally address the wave-vector and polarization dependence of the internal conical refraction phenomenon by demonstrating that an input light beam of elliptical transverse profile refracts into two beams after passing along one…

光学 · 物理学 2015-01-27 A. Turpin , Yu. V. Loiko , T. K. Kalkandjiev , H. Tomizawa , J. Mompart

Gravitational lensing magnification is maximal around caustics. At these source locations, an incoming wave from a point source would formally experience an infinite amplification in the high-frequency or geometric optics limit. This…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Jose María Ezquiaga , Rico K. L. Lo , Luka Vujeva

An analytical description of arbitrary strongly aberrated axially symmetric focusing is developed. This is done by matching the solution of geometrical optics with a wave pattern which is universal for the underlying ray structure. The…

光学 · 物理学 2007-05-23 Johannes Kofler , Nikita Arnold

In conical refraction (CR), a focused Gaussian input beam passing through a biaxial crystal and parallel to one of the optic axes is transformed into a pair of concentric bright rings split by a dark (Poggendorff) ring at the focal plane.…

In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where it can be noticed the diffraction of laser light in…

In its broadest sense the term bent wave rays hints at light or electromagnetic waves bending in a strong gravitational field or in their progress through a transparent medium of nonuniform index of refraction. However, there are instances…

经典物理 · 物理学 2022-02-22 Adel H. Alameh

In a recent paper, Mansuripur et al. [Phys. Rev. A 84, 033813 (2011)] indicated and numerically verified the generation of the helical wavefront of optical beams using a conical-shape reflector. Because the optical reflection is largely…

光学 · 物理学 2012-06-13 H. Kobayashi , K. Nonaka , M. Kitano

In conical refraction, when a focused Gaussian beam passes along one of the optic axes of a biaxial crystal it is transformed into a pair of concentric bright rings at the focal plane. We demonstrate both theoretically and experimentally…

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