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Within the scattering theoretical approach, the Casimir force is obtainednumerically by an evaluation of the round trip of an electromagnetic wavebetween the objects involved. Recently [Hartmann M et al. 2017, Phys. Rev.Lett. 119 043901] it was shown that a symmetrization of the scattering operatorprovides significant advantages for the numerical evaluation of the Casimirforce in the experimentally relevant sphere-plane geometry. Here, we discuss inmore detail how the symmetrization modifies the scattering matrix in themultipole basis and how computational time is reduced. As an application, wediscuss how the Casimir force in the sphere-plane geometry deviates from theproximity force approximation as a function of the geometric parameters.

Advancing numerics for the Casimir effect to experimentally relevant aspect ratios