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In a recent paper, it was shown that, under the action of the lateral van derWaals (vdW) force due to a perfectly conducting corrugated surface, a neutralanisotropic polarizable particle in vacuum can be attracted not only to thenearest corrugation peak, but also to a valley, or an intermediate pointbetween a peak and a valley, with such behaviors called peak, valley andintermediate regimes, respectively. In the present paper, we investigate howthese regimes are affected by the consideration of two non-dispersivesemi-infinite dielectrics $\epsilon_{1}$ and $\epsilon_{2}$, separated by acorrugated interface. Specifically, we study the vdW interaction between aneutral anisotropic polarizable particle, embedded in the dielectric$\epsilon_{2}$, and the dielectric $\epsilon_{1}$. We show that when$\epsilon_{2}<\epsilon_{1}$ the peak, valley and intermediate regimes have,unless numerical factors, behaviors similar to those found for the situationwhere the particle is in vacuum and interacting with a conducting medium. Forthe case $\epsilon_{2}>\epsilon_{1}$, one might expect a mere permute betweenthe peak and valley regimes, in comparison to the case$\epsilon_{2}<\epsilon_{1}$. Surprisingly, we find that when$\epsilon_{2}>\epsilon_{1}$ the regimes exhibit a very different and nontrivialbehavior. Moreover, we show that similar regimes arise in the classical caseinvolving a neutral polarized particle. The description of how the peak, valleyand intermediate regimes are affected by the presence of dielectrics may berelevant for a better understanding of the interaction between anisotropicparticles and corrugated surfaces.

Regimes of the lateral van der Waals force in the presence of dielectrics