Highly Nonlinear Dynamics of Third-Harmonic Generation by Focused Beams

Richard S. Tasgal, Marek Trippenbach, M. Matuszewski, Y. B. Band

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A set of coupled nonlinear Schrödinger (NLS) equations for two slowly-varying envelopes was derived. Very tightly focused beams and pulses, with large momentum and frequency spreads were considered because of the microscopy application. The results show that third harmonic generation (THG) with such an input beam or pulse produces TH in the far-field when the phase-mismatch between the fundamental and its third-harmonic is zero or negative. The results also show that when phase-mismatch is positive, where some far-field TH power is possible in the essentially linear case, the nonlinear beam dynamics complicate the accumulation of TH power.

Original languageEnglish
Article number013809
Number of pages7
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - 16 Jan 2004

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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