Abstract
An analysis into the phase matching condition of four-wave-mixing in highly birefringent photonic crystal fiber is presented to yield twelve independent processes combining the nonlinear terms with those of linear terms. The pump wavelength, power and pump pulse incident angles effects on the anti-Stokes frequency shifts are analyzed. The results show that the incident polarization angles along the slow-axis of the PCF, anti-Stokes wavelength is shorter than the case of along the fast-axis. In the case of a divided pump polarization, the frequency shifts decrease gradually with the increase of the incident angles. The pump wavelength is much more important factor in the phase-matched processes, but not sensitive to change of power. Experimental results link power, incident angles and phase-matched wavelengths are presented. Experiments demonstrate that the variation of the pump pulse parameters results in the anti-Stokes lines generation at 550 and 620 nm, which is in good agreement with the theoretical analysis. Furthermore, there exists the polarization-, power-independent anti-Stokes emissions.
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References
Agrawal, G.P.: Nonlinear Fiber Optics, 4th edn. Academic Press, New York (2006)
Akimov, D.A., Serebryannikov, E.E., Zheltikov, A.M., Schmitt, M., Maksimenka, R., Kiefer, W., Dukel’skii, K.V., Shevandin, V.S., Kondrat’ev, Y.N.: Efficient anti-Stokes generation through phase-matched four-wave mixing in higher-order modes of a microstructure fiber. Opt. Lett. 28, 1948–1950 (2003)
Borceux, F. and Janelidze, G.,Galois theories, Cambridge University Press (2001). ISBN 0-521-80309-8
Chee, J.K., Liu, J.M.: Polarization-dependent parametric and Raman processes in a birefringent optical fibe. IEEE J. Quantum Electron. 26, 541–549 (1990)
Chick, B.J., Chon, J.W.M., Gu, M.: Polarization effects in a highly birefringent nonlinear photonic crystal fiber with two-zero dispersion wavelengths. Opt. Express 16, 20099–20105 (2008)
Efimov, A., Taylor, A.J., Omenetto, F.G., Knight, J.C., Wadsworth, W.J., Russell, P.S.: Phase-matched third harmonic generation in microstructured fibers. Opt. Express 11, 2567–2576 (2003)
Eric, L., Denis, G., Hervé, M., Jacques, M.: Phase matching for parametric amplification in a single-mode birefringent fiber: influence of the non-phase-matched waves. J. Opt. Soc. Am. B 1, 116–125 (1997)
Hu, M.L., Wang, C.Y., Li, Y.F., Chai, L., Zheltikov, A.M.: Frequency-tunable anti-Stokes line emission by eigenmodes of a birefringent microstructure fiber. Opt. Express 12, 1932–1937 (2004)
Jain, R.K., Sternesen, K.: Phase-matched four-photon mixing processes in birefringent fibers. Appl. Phys. B 35, 49–57 (1984)
Karasawa, N., Nakamura, S., Nakagawa, N., Shibata, M., Morita, R., Shigekawa, H., Yamashita, M.: Comparison between theory and experiment of nonlinear propagation for a-few-cycle and ultrabroadband optical pulses in a fused-silica fiber. IEEE J. Quantum Electron. 37, 398–404 (2001)
Konorov, S.O., Zheltikov, A.M.: Frequency conversion of subnanojoule femtosecond laser pulses in a microstructure fiber for photochromism initiation. Opt. Express 11, 2440–2445 (2003)
Konorov, S.O., Akimov, D.A., Ivanov, A.A., Alfimov, M.V., Beloglazov, V.I., Skibina, N.B., Zheltikov, A.M.: Femtosecond coherent anti-stokes Raman scattering Spectroscopy using frequency-tunable chirped pulses produced and shaped in a photonic-crystal fiber. Laser Phys. 14, 785–790 (2004)
Lantz, E., Gindre, D., Maillotte, H., Monneret, J.: Phase matching for parametric amplification in a single-mode birefringent fiber: influence of the non-phase-matched waves. J. Opt. Soc. Am. B 14, 116–125 (1997)
Rothenberg, J.E.: Modulational instability for normal dispersion. Phys. Rev. A 42, 682–685 (1990)
Stolen, R.H., Bjorkholm, J.E.: Parametric amplification and frequency conversion in optical fibers. IEEE J. Quantum Electron. 18, 1062–1072 (1982)
Trillo, S., Wabnitz, S.: Parametric and Raman amplification in birefringent fibers. J. Opt. Soc. Am.B 9, 1061–1082 (1992)
Wang, H.L., Leng, Y.X., Xu, Z.Z., Qi, Y.H., Hu, M.L., Wang, C.Y.: Anti-Stokes frequency shift and evolution in polarization-maintaining photonic crystal fiber with two-zero dispersion wavelengths. Chin. Phys. Lett. 26, 084201 (2009)
Winful, H.G.: Polarization instabilities in birefringent nonlinear media: application to fiber-optic devices. Opt. Lett. 11, 33–35 (1986)
Yuan, J.H., Sang, X.Z., Yu, C.X., Li, S.G., Zhou, G.Y., Hou, L.T.: Highly efficient wavelength-tunable anti-Stokes signal conversion of femtosecond pulses in the fundamental mode of photonic crystal fiber. IEEE J. Quantum Electron. 46, 728–733 (2010)
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Project supported by key scientific research program of Beijing city (Grant No. Kz201110005010), the natural science foundation of Shandong province (Grant No. R2009AL013) and the Education Department of Shandong province science and technology program (Grant No. J08LI14). We would also wish like to thank Dr. Li Wang
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Zhan, Y., Wang, L., Zheng, Y. et al. Generation of anti-Stokes pulses through phase-matched four wave mixing in birefringent photonic crystal fibers. Opt Quant Electron 47, 2065–2074 (2015). https://doi.org/10.1007/s11082-014-0080-3
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DOI: https://doi.org/10.1007/s11082-014-0080-3