Results 31 to 40 of about 18,556 (174)

Generation of Caustics and Spatial Rogue Waves from Nonlinear Instability [PDF]

, 2017
Caustics are natural phenomena in which nature concentrates the energy of waves. Although, they are known mostly in optics, caustics are intrinsic to all wave phenomena.
Boyd, Robert W., Fickler, Robert, Padgett, Miles J., Safari, Akbar   +3 more
core   +2 more sources

Electron caustic lithography

AIP Advances, 2012
A maskless method of electron beam lithography is described which uses the reflection of an electron beam from an electrostatic mirror to produce caustics in the demagnified image projected onto a resist–coated wafer. By varying the electron optics, e.g.
S. M. Kennedy, C. X. Zheng, J. Fu, W. X. Tang, D. M. Paganin, D. E. Jesson   +5 more
doaj   +1 more source

Caustic spot light for rendering caustics [PDF]

The Visual Computer, 2008
It is difficult to render caustic patterns at interactive frame rates. This paper introduces new rendering techniques that relax current constraints, allowing scenes with moving, non-rigid scene objects, rigid caustic objects, and rotating directional light sources to be rendered in real-time with GPU hardware acceleration.
Liu, X., Dong, Z., Bao, H., Peng, Q.
openaire   +2 more sources

Caustics Formation by a Spherical Reflector – Geometric and Wave Field Analysis with Applications in Room Acoustics and Radio Astronomy

Engineering Transactions
Based on the principles of geometrical optics, an analytical description of caustics generated in a spherical mirror is presented. The formation of caustics in a wave field is studied using acoustic and electromagnetic waves as an example.
Andrzej Kulowski
doaj   +1 more source

Magnification Cross Sections for the Elliptic Umbilic Caustic Surface

Universe, 2019
In gravitational lensing, magnification cross sections characterize the probability that a light source will have magnification greater than some fixed value, which is useful in a variety of applications. The (area) cross section is known to scale as
Amir B. Aazami, Charles R. Keeton, Arlie O. Petters   +2 more
doaj   +1 more source

Caustic Frequency in 2D Stochastic Flows Modeling Turbulence

Mathematics, 2021
Stochastic flows mimicking 2D turbulence in compressible media are considered. Particles driven by such flows can collide and we study the collision (caustic) frequency. Caustics occur when the Jacobian of a flow vanishes.
Leonid I. Piterbarg
doaj   +1 more source

Properties of Planetary Caustics in Gravitational Microlensing

, 2005
Although some of the properties of the caustics in planetary microlensing have been known, our understanding of them is mostly from scattered information based on numerical approaches.
Asada H., Bozza V., Cheongho Han, Dominik M.   +3 more
core   +1 more source

The Caustics around a Local Density Perturbed Region in Redshift Space and Their Implications to Rich Clusters of Galaxies [PDF]

Journal of Astronomy and Space Sciences, 1993
On the framework of Tolman spacetime model, the caustics around a local perturbed region in redshift is due to the local expansion rate induced by a local density inhomogeneity in real space.
Doo Jong Song
doaj  

Geometric invariants and focal surfaces of spacelike curves in de Sitter space from a caustic viewpoint

AIMS Mathematics, 2021
The focal surface of a generic space curve in Euclidean 3-space is a classical subject which is a two dimensional caustic and has Lagrangian singularities.
Haiming Liu , Jiajing Miao
doaj   +1 more source

Formation of caustics in Dirac-Born-Infeld type scalar field systems

, 2010
We investigate the formation of caustics in Dirac-Born-Infeld type scalar field systems for generic classes of potentials, viz., massive rolling scalar with potential, $V(\phi)=V_0e^{\pm \frac{1}{2} M^2 \phi^2}$ and inverse power-law potentials with $V ...
Goswami, U. D., Nandan, H., Sami, M.
core   +1 more source