Diffraction-free surface waves

Kavleigh Waves and Free Surface Reflections ♦

Diffraction of Electromagnetic Waves

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff’s integral is modified to provide explicit expressions for these representatives. The respective integrals are then evaluated using the method of stationary phase in two dimensions. Hitherto unknown formulae for the polari...

Surface plasmon enhanced diffraction for label-free biosensing.

Surface plasmon enhanced evanescent field at a (noble) metal/dielectric interface can be employed to enhance the diffraction efficiency of surface grating structure composed of biomolecules. Based on a Kretschmann configuration, we realized a diffraction biosensor to monitor the dynamic interaction of biological molecules in a label-free way. It was demonstrated by the binding of an anti-biotin...

Erosion–deposition waves in shallow granular free-surface flows

Debris flows can spontaneously develop regular large-amplitude surge waves that are interspersed by periods in which the channel fill is completely stationary. These are important because each individual surge is much more destructive than a steady uniform flow with the same mass flux. In this paper small-scale experiments that exhibit similar behaviour are described. The flow consists of carbo...

Discontinuous Galerkin Method for Linear Free-Surface Gravity Waves

• Weak formulation: – Involves a typical primal DG formulation for the Laplace equation (see Arnold et al. (2002)). – Adopt the numerical flux proposed by Brezzi et al. (1999). – Second order accurate time discretization is used for the time derivative in the free surface boundary condition (Van der Vegt and Tomar (2005)). • Finite element discretization results in a symmetric and positive defi...