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  The Gouy phase shift in nonlinear interactions of waves

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-49BE-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-49BF-A
Genre: Journal Article

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 Creators:
Lastzka, Nico1, Author              
Schnabel, Roman1, Author              
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1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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 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.

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 Dates: 2007
 Publication Status: Published in print
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 Identifiers: eDoc: 318092
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Title: Optics Letters
Source Genre: Journal
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Pages: - Volume / Issue: 15 Sequence Number: - Start / End Page: 7211 - 7217 Identifier: -