Lorentz Oscillator Model
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Lorentz Oscillator Model
The Lorentz oscillator model (classical electron oscillator or CEO model) describes the optical response of Polarization density#Definition, bound charges. The model is named after the Dutch physicist Hendrik Antoon Lorentz. It is a Classical physics, classical, phenomenological model for materials with characteristic resonance frequencies (or other characteristic energy scales) for optical absorption, e.g. ionic and molecular vibrations, interband transitions (semiconductors), phonons, and collective excitations. Derivation of electron motion The model is derived by modeling an electron orbiting a massive, stationary nucleus as a Mass-spring-damper model, spring-mass-damper system. The electron is modeled to be connected to the nucleus via a hypothetical spring and its motion is damped by via a hypothetical damper. The damping force ensures that the oscillator's response is finite at its resonance frequency. For a time-harmonic driving force which originates from the electric ...
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