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Second-order calculation of the local density of states above a nanostructured surface

https://uol.de/f/5/inst/physik/ag/condmat/shadow_files/p_prbnanostruct2010.html?v=1432744496

We have numerically implemented a perturbation series for the scattered electromagnetic fields above rough surfaces, due to Greffet, allowing us to evaluate the local density of states to second order in the surface profile function.We present typical results for thermal near fields of surfaces with regular nanostructures, investigating the relative magnitude of the contributions appearing in successive orders. The method is then employed for estimating the resolution limit of an idealized near-field scanning thermal microscope.
B 82, 115443 (2010), The American Physical Society Keywords: LDOS, perurbation

Perturbation theory for plasmonic eigenvalues

https://uol.de/f/5/inst/physik/ag/condmat/shadow_files/p_prb09.html?v=1432744496

We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system for the potential which determines the plasmonic eigenvalues into an inhomogeneous system for the potential’s derivative with respect to the deformation strength and on the exploitation of the corresponding compatibility condition. The resulting general expression for the first-order shift is verified for two explicitly solvable cases and for a realistic example of a deformed nanosphere. It can be used for scanning the huge parameter space of possible shape fluctuations with only quite small computational effort.
B 78, 085414 (2008), The American Physical Society Keywords: plasmonic eigenvalues

Near-field radiative heat transfer between a nanoparticle and a rough surface

https://uol.de/f/5/inst/physik/ag/condmat/shadow_files/p_prbsphererough2010.html?v=1432744497

In this work we focus on the surface roughness correction to the near-field radiative heat transfer between a nanoparticle and a material with a rough surface utilizing a direct perturbation theory up to second order in the surface profile. We discuss the different distance regimes for the local density of states above the rough material and the heat flux analytically and numerically. We show that the heat transfer rate is larger than that corresponding to a flat surface at short distances. At larger distances it can become smaller due to surface polariton scattering by the rough surface. For distances much smaller than the correlation length of the surface profile, we show that the results converge to a proximity approximation, whereas in the opposite limit the rough surface can be replaced by an equivalent surface layer.
B 81, 245414 (2010), The American Physical Society Keywords: heat radiation,