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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Rottwitt, Karsten
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Topics
Publications (12/12 displayed)
- 2018Analytic description of four-wave mixing in silicon-on-insulator waveguidescitations
- 2017Study of Raman-free photon pair generation using inter-modal four-wave mixing in a few-mode silica fiber
- 2017Effects of Raman scattering and attenuation in silica fiber-based parametric frequency conversioncitations
- 2017Effects of noninstantaneous nonlinear processes on photon-pair generation by spontaneous four-wave mixingcitations
- 2012High-Energy Four-Wave Mixing, with Large-Mode-Area Higher-Order Modes in Optical Fibres
- 2009Measurement and modeling of low-wavelength losses in silica fibers and their impact at communication Wavelengthscitations
- 2008730-nm optical parametric conversion from near- to short-wave infrared bandcitations
- 2008Ge nanoclusters in PECVD-deposited glass caused only by heat treatmentcitations
- 2008Low Wavelength Loss of Germanium Doped Silica Fiberscitations
- 2007Ge nanoclusters in PECVD-deposited glass after heat treating and electron irradiationcitations
- 2004GE NANOCLUSTERS IN PLANAR GLASS WAVEGUIDES DEPOSITED BY PECVD
- 2003Sub-micrometer waveguide for nano-optics
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article
Analytic description of four-wave mixing in silicon-on-insulator waveguides
Abstract
We develop an analytic description of continuous-wave four-wave mixing in silicon-on-insulator (SOI) waveguides including linear loss, two-photon absorption, and free-carrier absorption. Under the undepleted pump approximation, the pump equation decouples from the signal and idler equations and becomes a nonlinear differential equation that we solve analytically without further approximations. The signal and idler equations have no known solutions for arbitrary pump power evolution, but we calculate approximate field expressions based on a Magnus expansion, which has been used to study time-ordering effects in quantum optics. Lastly, we show that the phase-matching condition changes through the waveguide and that this explains the shape of the wavelength-conversion-efficiency spectrum in SOI waveguides and why it differs from that of highly nonlinear silica fibers.