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 ...

Within the framework of shifted-Laplace preconditioners [Erlangga, Vuik, Oosterlee, Appl. Numer. Math., 50(2004), pp.409–425] for the Helmholtz equation, different methods for the approximation of the inverse of a complex-valued Helmholtz operator are discussed. The performance of the preconditioner for Helmholtz problems at high wavenumbers in heterogeneous media is evaluated. Comparison with ...

1 Helmholtz Zentrum München, German Research Center for Environmental Health, Department of Environmental Sciences, Institute of Biochemical Plant Pathology, Neuherberg, Germany 2 Helmholtz Zentrum München, German Research Center for Environmental Health, Department of Environmental Sciences, Institute of Biochemical Plant Pathology, Research Unit Environmental Simulation, Neuherberg, Germany *...

1 Department of Marine Biogeochemistry/Biological Oceanography, GEOMAR Helmholtz Centre for Ocean Research Kiel, Kiel, Germany, 2 Department Deep Sea Ecology and Technology/SEAPUMP, Alfred Wegener Institute Helmholtz Centre for Polar and Marine Research, Bremerhaven, Germany, 3 MARUM and University of Bremen, Bremen, Germany, 4 Department Polar Biological Oceanography, Alfred Wegener Institute ...

which describes stationary reaction-diffusion phenomena but is often also called Helmholtz equation in certain communities. For example in meteorology, the early seminal papers [48, 56] led an entire community to call equations of the form (2) Helmholtz equations, see for example [14]. Even standard texts in applied mathematics now sometimes use the term Helmholtz equation for both (1) and (2),...

In the design of rotary compressor, Helmholtz resonator is always used in the discharge port of cylinder to reduce noise. The effect of Helmholtz resonator on the discharge port is restricted because of the narrow frequency band of Helmholtz resonator. In this paper, multi-Helmholtz resonator on the top-flange is used to reduce the discharge noise of different frequency bands, which does not ch...

In the second volume of the Handbuch der physiologischen Optik, published in 1860, Helmholtz sets out a three-receptor theory of color vision using coterminal response curves, and shows that this theory can unify most phenomena of color mixing known at the time. Maxwell had publicized the same theory five years earlier, but Helmholtz barely acknowledges this fact in the Handbuch. Some historian...

Abstract. In this study, we consider new finite difference schemes for solving the Helmholtz equation. Novel difference schemes which do not introduce truncation error are presented, consequently the exact solution for the Helmholtz equation can be computed numerically. The most important features of the new schemes are that while the resulting linear system has the same simple structure as tho...

Numerical solutions of the Helmholtz equation and the one-way Helmholtz equation are compared in the weak range dependence limit, where the overall range distance is increased while the range dependence is weakened. It is observed that the difference between the solutions of these two equations persists in this limit. The one-way Helmholtz equation involves a square root operator and it can be ...