We present a model for producing stable broadband coherent synchrotron radiation (CSR) in the terahertz frequency region in an electron storage ring. The model includes distortion of bunch shape from the synchrotron radiation (SR), enhancing higher frequency coherent emission and limits to stable emission due to a microbunching instability excited by the SR. We use this model to optimize the pe...

Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been intensively investigated in the past decade. In this work, we report a special chimera state, 2-frequency chimera state, in one-dimensional ring of nonlocally coupled Brusselators. In a 2-frequency chimera state, there exist two types of coherent domains and oscillators in different type...

By analysis of the far-field cross-correlation function (CCF) of partially coherent optical beams, we demonstrate an implicit rule that the number of ring dislocations (dark zones) of the far-field CCF is equal to the original topological charge of an optical vortex rendered partially coherent. This novel link between an optical vortex and its correlation singularity may offer an efficient meth...

1463-5003/$ see front matter 2012 Elsevier Ltd. A http://dx.doi.org/10.1016/j.ocemod.2012.05.001 ⇑ Corresponding author. Tel.: +49 5251 60 4209. E-mail address: [email protected] (C. Horenkam 1 Current address: Department of Mathematics, UN Chapel Hill, NC 27599-3250, USA. A novel probabilistic methodology is applied to identify optimally coherent structures associated with Agulhas Rings, with...

In this thesis, we examine three different versions of "categorification" of the affine Hecke algebra and its periodic module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), the second is by certain classes on bimodules over polynomial rings, called Soergel bimodules, and the third is by certain categories of constructible sheaves on the affin...

Given a positively graded commutative coherent ring A = ⊕j>0Aj , finitely generated as an A0-algebra, a bijection between the tensor Serre subcategories of qgrA and the set of all subsets Y ⊆ Proj A of the form Y =