Results 31 to 40 of about 927,050 (285)

Polarization singularities in isotropic random vector waves [PDF]

open access: yes, 2001
Following Nye & Hajnal, we explore the geometry of complex vector waves by regarding them as a field of polarization ellipses. Singularities of this field are the C lines and L lines, where the polarization is purely circular and purely linear ...
Dennis, MR   +5 more
core   +1 more source

Spectral analysis for differential operators with singularities

open access: yesAbstract and Applied Analysis, 2004
Nonselfadjoint boundary value problems for second-order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point.
Vjacheslav Anatoljevich Yurko
doaj   +1 more source

Propagation of Correlation Singularities of a Partially Coherent Laguerre–Gaussian Electromagnetic Beam in a Uniaxial Crystal

open access: yesIEEE Photonics Journal, 2017
The correlation singularities of a partially coherent Laguerre–Gaussian (LG) electromagnetic beam in a uniaxial crystal is shown to possess interesting evolution behavior. The analytical formula for the cross-spectral density matrix of a partially
Yongtao Zhang, Liuzhan Pan, Yangjian Cai
doaj   +1 more source

Simple curve singularities

open access: yes, 2015
In this paper we classify simple parametrisations of complex curve singularities of arbitrary embedding dimension. Simple means that all neighbouring singularities fall in finitely many equivalence classes.
Stevens, Jan, Stevens, Jan,
core   +1 more source

High-order spectral singularity

open access: yesPhysical Review A, 2023
Exceptional point and spectral singularity are two types of singularity that are unique to non-Hermitian systems. Here, we report the high-order spectral singularity as a high-order pole of the scattering matrix for a non-Hermitian scattering system, and the high-order spectral singularity is a unification of the exceptional point and spectral ...
H. S. Xu, L. C. Xie, L. Jin
openaire   +2 more sources

On the classification of rational surface singularities

open access: yes, 2012
A general strategy is given for the classification of graphs of rational surface singularities. For each maximal rational double point configuration we investigate the possible multiplicities in the fundamental cycle. We classify completely certain types
Stevens, Jan, Jan Stevens, Stevens, Jan,
core   +1 more source

Tjurina and Milnor numbers of matrix singularities [PDF]

open access: yes, 2005
To gain understanding of the deformations of determinants and Pfaffians resulting from deformations of matrices, the deformation theory of composites f ◦ F with isolated singularities is studied, where f : Y −→C is a function with (possibly non-isolated)
Mond, D. (David), Goryunov, Victor V.
core   +1 more source

Engineering low-temperature proximity effect in clean metals by spectral singularities

open access: yesNew Journal of Physics, 2023
The present study investigates the behavior of the Cooper pair wave function in a normal metal (NM) near superconductor-NM-junctions, specifically focusing on the ballistic regime at zero temperature. It is widely assumed that the wave function follows a
R de L Silveira   +4 more
doaj   +1 more source

Anomalous dips in reflection spectra of optical polymers deposited on plasmonic metals

open access: yesNanophotonics, 2023
We have studied reflection spectra of dye-doped and undoped polymers deposited onto Ag and Au substrates and found anomalous dips in the UV spectral range.
Shorter Ayanna   +3 more
doaj   +1 more source

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