Casimir force on real materials—the slab and cavity geometry

Abstract

Abstract. We analyse the potential of the geometry of a slab in a planar cavity for the purpose of Casimir force experiments. The force and its dependence on temperature, material properties and finite slab thickness are investigated both analytically and numerically for slab and walls made of aluminium and teflon FEP respectively. We conclude that such a setup is ideal for measurements of the temperature dependence of the Casimir force. By numerical calculation it is shown that temperature effects are dramatically larger for dielectrics, suggesting that a dielectric such as teflon FEP whose properties vary little within a moderate temperature range, should be considered for experimental purposes. We finally discuss the subtle but fundamental matter of the various Green's two-point function approaches present in the literature and show how they are different formulations describing the same phenomenon.

Recursion relations for generalized Fresnel coefficients: Casimir force in a planar cavity

“…(16). In that case, of course, the above result agrees with the one obtained through a conventional way [18]. When removing a mirror (letting, say, d 2 → ∞), the above result gives the Casimir force between two arbitrary planar objects, as also obtained recently through a different approach [19].…”

Feigel effect: Extraction of momentum from vacuum?

“…If χ ik = 0, the expressions agree with those of Ref. [19] [36]. We now proceed to solve the equations, beginning with Eq.…”

Comment on “Casimir force acting on magnetodielectric bodies embedded in media”

“…This argument is not correct in our opinion, although it is true that the Casimir force may be regarded as a sum of multiple reflections between the interfaces [31]. To see how the argument is flawed we must turn to real frequencies for a moment since imaginary frequencies ζ have no obvious physical meaning.…”

“…While the five-layer geometry has also been considered in the Abraham-Minkowski formalism [29,30,31] and has interesting properties, we will consider the Raabe-Welsch result for the simplest and most well-known 3-layer system shown in Fig. 2.…”