4 citations · 5 across the 3 of their papers we have counts for
7 papers
Ray and wave scattering in smoothly curved thin shell cylindrical ridges
Niels Sondergaard, David Chappell
We propose wave and ray approaches for modelling mid- and high- frequency structural vibrations through smoothed joints on thin shell cylindrical ridges. The models both emerge fro…
Transport of phase space densities through tetrahedral meshes using discrete flow mapping
Janis Bajars, David Chappell, Niels Sondergaard +1
Discrete flow mapping was recently introduced as an efficient ray based method determining wave energy distributions in complex built up structures. Wave energy densities are trans…
Elasticity of macroscopic isotropic media applied to nano--cantilevers
N. Sondergaard, S. Ghatnekar-Nilsson, T. Guhr +1
We analyze recently measured data for the mechanical deflection of Chromium nano--cantilevers. We show that the deflection curves exhibit a scaling behavior when applying properly…
Periodic orbits in scattering from elastic voids
Niels Sondergaard, Predrag Cvitanovic, Andreas Wirzba
The scattering determinant for the scattering of waves from several obstacles is considered in the case of elastic solids with voids. The multi-scattering determinant displays cont…
Resolving isospectral "drums" by counting nodal domains
Sven Gnutzmann, Uzy Smilansky, Niels Sondergaard
Several types of systems were put forward during the past decades to show that there exist {\it isospectral} systems which are {\it metrically} different. One important class consi…
Counting function for a sphere of anisotropic quartz
N. Sondergaard, T. Guhr, M. Oxborrow +2
We calculate the leading Weyl term of the counting function for a mono-crystalline quartz sphere. In contrast to other studies of counting functions, the anisotropy of quartz is a…