The Gouy phase shift in nonlinear interactions of waves

Details The Gouy phase shift in nonlinear interactions of waves The Gouy phase shift in nonlinear interactions of waves

2006-11-27

arxiv.org/abs/physics/0611257v1

Physics

Optics

4 pages, 3 figures

Scientific paper

10.1364/OE.15.007211

We theoretically analyze the influence of the Gouy phase shift on the nonlinear interaction between waves of different frequencies. We focus on $\chi^{(2)}$ interaction of optical fields, e.g. through birefringent crystals, and show that focussing, stronger than suggested by the Boyd-Kleinman factor, can further improve nonlinear processes. An increased value of 3.32 for the optimal focussing parameter for a single pass process is found. The new value builds on the compensation of the Gouy phase shift by a spatially varying, instead constant, wave vector phase mismatch. We analyze the single-ended, singly resonant standing wave nonlinear cavity and show that in this case the Gouy phase shift leads to an additional phase during backreflection. Our numerical simulations may explain ill-understood experimental observations in such devices.

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