Surface Scattering Expansion for the Casimir-Polder Interaction of a Dielectric Wedge

• URL: http://arxiv.org/abs/2409.17710v1
• Date: Thu, 26 Sep 2024 10:25:37 GMT
• Title: Surface Scattering Expansion for the Casimir-Polder Interaction of a Dielectric Wedge
• Authors: Thorsten Emig,
• Abstract summary: Casimir-Polder (CP) interaction between a polarizable particle and a dielectric wedge is difficult to computation. This geometry is a prototype for the effect of edges on fluctuation-induced interactions. A remarkable finding is that the CP potential for a wedge with a smoothed edge is closely related to the potential of a sharp wedge made of a perfect electric conductor.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The electromagnetic scattering amplitude of a dielectric wedge is not known in closed form. This makes the computation of the Casimir-Polder (CP) interaction between a polarizable particle and a dielectric wedge challenging. This geometry is a prototype for the effect of edges on fluctuation-induced interactions, and hence it is important to employ new methods for this problem. Using a recently developed multiple scattering expansion [T. Emig and G. Bimonte, Phys. Rev. Lett. 130, 200401 (2023)], here we implement a basis-free numerical evaluation of this expansion to obtain precise estimates of the CP potential for a wedge over a wide range of dielectric constants. A remarkable finding is that the CP potential for a dielectric wedge with a smoothed edge is closely related to the potential of a sharp wedge made of a perfect electric conductor. The latter potential is known exactly, making this relation particularly useful in practice.

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