The nature of lightmatter interaction reradiation of the

The nature of light-matter interaction: re-radiation of the electrons driven by the field.

From Second order to first order (the tedious way) (Polarization envelope)

OR Polarization in phase with the electric field

Retarded frame: t’ = t – z/c z’ = z imag real

Classical light-matter interaction Bound-electron: the oscillator model Motion of the “spring” (polarization) In phase with the force (E-field) Below resonance: “index of refraction” + = Time P Time

Classical light-matter interaction Bound-electron: the oscillator model Field of radiating electron Below resonance: “index of refraction” + At resonance: “absorption” + = Time P P Time

Classical light-matter interaction “Free”-electron: the Drude model (plasma) Below resonance: “index of refraction” + At resonance: “absorption” “Negative index of refraction” + = Time + = P P Time = P Time

The Drude Dude is not always applicable The plasma frequency defined by represent a real frequency: the frequency for density fluctuations of electrons (see homework) The characteristic period is ps The Drude model is isotropic. At l> 800 nm, the ionization is anisotropic (tunnel) With dude Drude, no difference between linear and circular polarization. The error in the classical derivation: Taking the ε out of the time derivative is not always the right approach.

P in phase with E but 90 degree out of phase with ? ?

More about plasma – oscillator model: See Electrons_Plasma_oscillators. pdf