Abstract
An insight into the signal gain in multiple four-wave mixing (MFWM) processes based on a cubic susceptibility medium is theoretically proposed and demonstrated. A dual-pumped fiber optical parametric amplification (FOPA) model is developed with the exact expressions for the signal gain and its 3-dB bandwidth successfully yielded.With these analytical expressions, we show that when pump-1 and pump-2 wavelengths tuned at 1549 and 1551.02 nm, the 3-dB bandwidth of the signal gain can be achieved at about 2253.4 nm theoretically by properly setting the pumped powers. Numerical simulations show that there is a small pinnacle emerging in the signal gain spectrum owing to the degenerate OPA process occurring. The proposed OPA model can find potential applications in all-optical wavelength conversion, optical amplifier, and all-optical sampling.
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References
Hansryd J, Andrekson P A, Westlund M, Li J, Hedekvist P O. Fiber-based optical parametric amplifiers and their applications. IEEE Journal on Selected Topics in Quantum Electronics, 2002, 8(3): 506–520
Sun J Q, Li H, Cheng Y, Li J. Tunable wavelength conversion of picosecond pulses based on cascaded sum- and difference-frequency generation in quasi-phase-matched LiNbO3 waveguides. Optics Communications, 2008, 281(23): 5874–5883
Jargon J A, Wu X, Choi H Y, Chung Y C, Willner A E. Optical performance monitoring of QPSK data channels by use of neural networks trained with parameters derived from asynchronous constellation diagrams. Optics Express, 2010, 18(5): 4931–4938
Van Erps J, Luan F, Pelusi M D, Iredale T, Madden S, Choi D Y, Bulla D A, Luther-Davies B, Thienpont H, Eggleton B J. High-resolution optical sampling of 640-Gb/s data using four-wave mixing in dispersion-engineered highly nonlinear As2S3 planar waveguides. Journal of Lightwave Technology, 2010, 28(2): 209–215
Torounidis T, Karlsson M, Andrekson P A. Fiber optical parametric amplifier pulse source: theory and experiments. Journal of Lightwave Technology, 2005, 23(12): 4067–4073
Zhao L, Sun J Q. Investigation of tunable trap filter utilizing intense signal four wave mixing model in highly non-linear fiber. Optics Communications, 2009, 282(14): 2975–2982
Gao M Y, Jiang C, Hu W S. Dual-pump broadband fiber optical parametric amplifier with a three-section photonic crystal fiber scheme. Proceedings of SPIE, 2005, 5623: 300–307
Liu X M, Zhou X Q, Lu C. Multiple four-wave mixing self-stability in optical fibers. Physical Review A, 2005, 72(1): 013811
Liu X M. Theory and experiments for multiple four-wave-mixing processes with multifrequency pumps in optical fibers. Physical Review A, 2008, 77(4): 043818
Zhao L, Sun J Q. Suppression of degenerate four-wave mixing in nondegenerate optical parametric amplifiers. Optical Engineering, 2008, 47(8): 085001
Cao H, Sun J Q, Huang D X. Unique dispersion effects on transmitting and amplifying of picosecond pulses in fiber optical parametric amplifiers. Proceedings of SPIE, 2005, 6019: 601931
Cao H, Sun J Q, Huang D X. Theoretical study on the signal pulse splitting phenomenon in continuous wave pumped fiber optical parametric amplifier. Proceedings of SPIE, 2005, 6019: 601930
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Zhao, L., Sun, J., Hu, Z. et al. Theoretical demonstration for signal gain in multiple four-wave mixing processes based on cubic susceptibility medium. Front. Optoelectron. China 3, 270–282 (2010). https://doi.org/10.1007/s12200-010-0106-9
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DOI: https://doi.org/10.1007/s12200-010-0106-9