Optical Torque and Plane Waves: An Identity

Abstract: Light, composed of massless photons, in addition to energy, carries linear and angular momentum, enabling it to exert forces and torques on matter. Recent advances in light-matter interactions particularly on optical torques and angular momentum transport, indicate considerable current interest. In this paper we consider optical torques exerted by elliptically polarized plane waves and related spin angular momentum transport. Using a classical approach using only Maxwell's equations and the Lorentz force, we derive expressions for radiation pressure and areal torque density on dielectric slabs and waveplates. Our results provide a clear identity linking incident, reflected, and transmitted light fields to spin angular momentum density and its conservation. Our results should help resolve ambiguities in the literature, affirming the presence of spin angular momentum in elliptically polarized plane waves and highlighting the utility of classical electromagnetic theory in exploring optomechanical phenomena.