A universal model is described for Higher Harmonic Generation (HHG) in different states of matter. Based on an electromagnetic model (EM), the generation of Odd Higher Harmonic (HHG) and Supercontinuum (SC) from intense fs and ps pulses for visible, NIR, and MIR lasers is simulated for the different Kerr material response times τ from the ultrafast on the order of 100 attoseconds for electronic cloud distortion to fast ~10 femtoseconds from plasma and molecular redistribution and to the slower picoseconds rotational and vibrational molecular processes. The number of odd HHG generated is shown to depend critically on the fastest Kerr response time on the order of ~ a femtosecond from electronic self-phase modulation (ESPM). The EM model is universal for the production of HHG and SC in different states of matter.
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