Helmholtz stereopsis has been previously introduced as a surface reconstruction technique that does not assume a model of surface reflectance. This technique relies on the use of multiple cameras and light sources, and it has been shown to be effective when the camera and source positions are known. Here, we take a stratified look at uncalibrated Helmholtz stereopsis. We derive a new photometri...

A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses and liquid crystals. Novel exact analytical soliton solutions are presented for a generic nonlinearity, within which kn...

New research shows that vesicles in the early endosomal network coalesce according to a classical theoretical description of aggregation put forward by Smoluchowski more than 100 years ago. This gives a new tool for unraveling complexities of the endocytic pathways.

We report a systematic study of the effects of the external force F on the nonequilibrium steady-state (NESS) dynamics of the diffusing particles over a tilted periodic potential, in which detailed balance is broken due to the presence of a steady particle flux. A tilted two-layer colloidal system is constructed for this study. The periodic potential is provided by the bottom-layer colloidal sp...

We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions.

The free vibration analysis ofhomogeneous isotropic micropolar thermoelastic cylindrical curved plate in circumferential direction has been investigated in the context of generalized themoelasticity III, recently developed by Green and Naghdi. The model has been simplified using Helmholtz decomposition technique and the resulting equations have been solved using separation of variable method. M...

we have developed a three level implicit method for solution of the helmholtz equation. using the cubic spline in space and nite dierence in time directions. the approach has been modied to drive numerov type nite dierence method. the method yield the tri- diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. stability and error estimation of the...

1 Helmholtz Institute for Pharmaceutical Research Saarland (HIPS), Department of Drug Design 5 and Optimization and 2 Pharmaceutical and Medicinal Chemistry, Saarland University, Campus 6 C2.3, D-66123 Saarbrücken, Germany. 3 Helmholtz Centre for Infection Research, 7 Inhoffenstraße 7, 38124 Braunschweig, Germany. 8 * Corresponding author. Fax: (+49) 681 302 70308 E-mail: rolf.hartmann@helmholt...

We give a brief overview of some new results in Helmholtz soliton theory. Firstly, fundamental considerations are made in terms of new contexts for Helmholtz solitons that arise directly from Maxwell’s equations. We then detail applications of Helmholtz solitons in material interface geometries: generalising Snell’s law to nonlinear beams and reporting new qualitative phenomena. Novel families ...