Photo-induced force vs power in chiral scatterrers

We study isotropic chiral polarizable particles in the interaction with circularly polarized travelling electromagnetic waves. We derive the expressions for the scattered and extinct power of such particles in terms of their polarizabilities for incident waves with opposite handedness i.e., right or left handed circular polarization. Moreover, we extract similar expressions for the exerted force on such particles induced by the proposed incidences. Based on our theoretical results, we present the link between the calculated power and force and demonstrate how these two different physical observables give rise to equivalent understanding of properties of chiral inclusions. This paves the way to formulate two alternatives to perform either the photo-induced force microscopy or power spectroscopy based on the merits of each. We also provide an original method to measure the magnetoelectric polarizability of isotropic chiral particles.