



01106nas a2200145   4500008004100000245006700041210006700108260001300175490000700188520065800195100002700853700002100880700002200901856003700923       2011                        eng d00aImplications of the Babinet Principle for Casimir Interactions0 aImplications of the Babinet Principle for Casimir Interactions  c2011/9/10 v843 a  We formulate the Babinet Principle (BP) as a relation between the scattering
amplitudes for electromagnetic waves, and combine it with multiple scattering
techniques to derive new properties of Casimir forces. We show that the Casimir
force exerted by a planar conductor or dielectric on a self- complementary
perforated planar mirror is approximately half that on a uniform mirror
independent of the distance between them. The BP suggests that Casimir edge
effects are anomalously small, supporting results obtained earlier in special
cases. Finally, we illustrate how the BP can be used to estimate Casimir forces
between perforated planar mirrors.
1 aMaghrebi, Mohammad, F.1 aAbravanel, Ronen1 aJaffe, Robert, L.  uhttp://arxiv.org/abs/1103.5395v1