Abstract
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 language | English |
|---|---|
| Article number | 013809 |
| Number of pages | 7 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 69 |
| Issue number | 1 |
| State | Published - 16 Jan 2004 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics