Radiation Damping of a Polarizable Particle

Abstract

A polarizable body moving in an external electromagnetic field will slow down. This effect is referred to as radiation damping and is analogous to Doppler cooling in atomic physics. Using the principles of special relativity we derive an expression for the radiation damping force and find that it solely depends on the scattered power. The cooling of the particle's center-of-mass motion is balanced by heating due to radiation pressure shot noise, giving rise to an equilibrium that depends on the ratio of the field's frequency and the particle's mass. While damping is of relativistic nature heating has it's roots in quantum mechanics.

References in corpus (3)

• Cavity optomechanics using an optically levitated nanosphere
• Direct Measurement of Photon Recoil from a Levitated Nanoparticle
• Radiation reaction from electromagnetic fields in the neighbourhood of a point charge

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• Search for Dark Matter Scattering from Optically Levitated Nanoparticles
• Radiation damping of a Rayleigh scatterer illuminated by a plane wave
• Realising Einstein's mirror: Optomechanical damping with a thermal photon gas