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The magnetic force is retained in the Lorentz Oscillator Model and aperturbation solution is derived beyond the dipole approximation. Perturbationseries for the electric dipole, magnetic dipole, and electric quadrupolemoments in addition to their macroscopic, spatially-averaged counterparts arealso obtained. These expressions are shown to describe many optical phenomena:the normal, linear Zeeman, Faraday, and magneto-optic Kerr effects, the linearStark, Pockels, and Kerr effects (when the restoring force is anharmonic), themomentum and angular momentum of a photon in matter (contributing to theAbraham-Minkowski debate), the photon drag and inverse Faraday effects, andsum-frequency and second-harmonic generation in centrosymmetric media. Thequalitative and quantitative accuracy is assessed by comparison to bothexperiment and more fundamental theory (e.g. quantum mechanics). New insightsinto the relationship between the Stark and Pockels/Kerr effects also emerge.

Nonlinearity in the Lorentz Oscillator Model