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The Gouy phase shift in nonlinear interactions of waves

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Lastzka,  Nico
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Schnabel,  Roman
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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OE7211_7217 .pdf
(Publisher version), 152KB

0611257v1.pdf
(Preprint), 177KB

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Citation

Lastzka, N., & Schnabel, R. (2007). The Gouy phase shift in nonlinear interactions of waves. Optics Letters, 15, 7211-7217.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-49BE-C
Abstract
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.