Abstract
A possibility to greatly enhance frequency-conversion efficiency of stimulated Raman scattering is shown by making use of extraordinary properties of three-wave mixing of ordinary and backward waves. Such processes are commonly attributed to negative-index plasmonic metamaterials. This work demonstrates the possibility to replace such metamaterials that are very challenging to engineer by readily available crystals which support elastic waves with contra-directed phase and group velocities. The main goal of this work was to investigate specific properties of indicated nonlinear optical process in short-pulse regime and to show that it enables elimination of fundamental detrimental effect of fast damping of optical phonons on the process concerned. Among the applications is the possibility of creation of a family of unique photonic devices such as unidirectional Raman amplifiers and femtosecond pulse shapers with greatly improved operational properties.
Similar content being viewed by others
References
A.K. Popov, V.M. Shalaev, Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification. Appl. Phys. B Lasers Opt. 84, 131–137 (2006)
A.K. Popov, V.M. Shalaev, Compensating losses in negative-index metamaterials by optical parametric amplification. Opt. Lett. 31, 2169–2171 (2006)
A.K. Popov, S.A. Myslivets, T.F. George, V.M. Shalaev, Four-wave mixing, quantum control, and compensating losses in doped negative-index photonic metamaterials. Opt. Lett. 32, 3044–3046 (2007)
A.K. Popov, S.A. Myslivets, Transformable broad-band transparency and amplification in negative-index films. Appl. Phys. Lett. 93(3), 191117 (2008)
A.K. Popov, S.A. Myslivets, V.M. Shalaev, Resonant nonlinear optics of backward waves in negative-index metamaterials. Appl. Phys. B Lasers Opt. 96, 315–323 (2009)
A.K. Popov, S.A. Myslivets, V.M. Shalaev, Microscopic mirrorless negative-index optical parametric oscillator. Opt. Lett. 34, 1165–1167 (2009)
A.K. Popov, S.A. Myslivets, V.M. Shalaev, in Proceedings of of SPI E, ed. by K. Satoshi, M.S. Vladimir, P.T. Din. . Plasmonics: Nanoimaging, Nanofabrication, and their Applications V (eds), vol 7395 (2009), p 73950Z1(12)
A.K. Popov, S.A. Myslivets, V.M. Shalaev, Coherent nonlinear optics and quantum control in negative-index metamaterials. J. Opt. A Pure Appl. Opt. 11(13), 114028 (2009)
A.K. Popov, S.A. Myslivets, in Proc. of WASET 37, ICMS 2010: International Conference on Modeling and Simulation. Numerical simulations of negative-index nanocomposites and backward-wave photonic microdevices, (2010), pp 107–121 http://www.waset.org/journals/waset/v37/v37-16.pdf
A.K. Popov, T.F. George, Computational Studies of New Materials II: From Ultrafast Processes and Nanostructures to Optoelectronics, Energy Storage and Nanomedicine, in Computational studies of tailored negative-index metamaterials and microdevices, ed. by T.F. George, D. Jelski, R.R. Letfullin, G. Zhang (World Scientific, Singapore, 2011)
A.K. Popov, Nonlinear optics of backward waves and extraordinary features of plasmonic nonlinear-optical microdevices. Eur. Phys. J. D 58, 263–274 (2010). (topical issue on Laser Dynamics and Nonlinear Photonics)
A. K. Popov, V. M. Shalaev, in Proceedings of SPIE. Merging nonlinear optics and negative-index metamaterials, vol. 8093–06, (2011) pp. 1–27 (arXiv:1108.0867).
I.V. Shadrivov, A.A. Zharov, YuS Kivshar, Second-harmonic generation in nonlinear left-handed metamaterials. J. Opt. Soc. Am. B23, 529–534 (2006)
M. Scalora, G. D’Aguanno, M. Bloemer, M. Centini, N. Mattiucci, D. de Ceglia, YuS Kivshar, Dynamics of short pulses and phase matched second harmonic generation in negative index materials. Opt. Express 14, 4746–4756 (2006)
A.K. Popov, V.V. Slabko, V.M. Shalaev, Second harmonic generation in left-handed metamaterials. Laser Phys. Lett. 3, 293–296 (2006)
A.I. Maimistov, I.R. Gabitov, E.V. Kazantseva, Quadratic solitons in media with negative refractive index. Opt. Spectrosc. 102, 90–97 (2007)
A.I. Maimistov, I.R. Gabitov, Nonlinear optical effects in artificial materials. Eur. Phys. J. Special Top. 147, 265–286 (2007)
S.O. Elyutin, A.I. Maimistov, I.R. Gabitov, On the third harmonic generation in a medium with negative pump wave refraction. JETP 111, 157–169 (2010)
M.I. Shalaev, S.A. Myslivets, V.V. Slabko, A.K. Popov, Negative group velocity and three-wave mixing in dielectric crystals. Opt. Lett. 36, 3861–3863 (2011)
A.K. Popov, M.I. Shalaev, S.A. Myslivets, V.V. Slabko, I.S. Nefedov, Enhancing coherent nonlinear-optical processes in nonmagnetic backward-wave materials. Appl. Phys. A 109, 835–840 (2012)
L.I. Mandelstam, Group velocity in a crystall lattice. ZhETF 15, 475–478 (1945)
E. Anastassakis, S. Iwasa, E. Burstein, Electric-field-induced infrared absorption in diamond. Phys. Rev. Lett. 17, 1051–1054 (1966)
Y. Chen, J.D. Lee, Determining material constants in micromorphic theory through phonon dispersion relations. Int. J. Eng. Sci. 41, 871–886 (2003)
Light scattering in solids, ed. by M. Cardona, Ch.2 in Topics in applied physics, vol. 8, (Springer, Berlin, 1975).
R.R. Alfano, S.I. Shapiro, Optical phonon lifetime measured directly with picosecond pulses. Phys. Rev. Lett. 26, 1247–1251 (1971)
V. S. Gorelik, Contemporary problems of Raman spectroscopy, (Nauka Publishing Co., Moscow, 1978) (in Russian), pp. 28–47.
T.T. Basiev, A.A. Sobol, P.G. Zverev, V.V. Osiko, R.C. Powel, Comparative spontaneous Raman spectroscopy of crystals for Raman lasers. Appl. Opt. 38, 594–598 (1999)
Y.R. Shen, N. Bloembergen, Theory of stimulated Brillouin and Raman scattering. Phys. Rev. 137, A1787–A1805 (1965)
R.W. Boyd, Nonlinear optics, 3rd edn. (Academic Press, Amsterdam, 2008)
D.L. Bobroff, Coupled-modes analysis of the phonon–photon parametric backward-wave oscillator. J. Appl. Phys. 36, 1760–1769 (1965)
S.E. Harris, Proposed backward wave oscillations in the infrared. Appl. Phys. Lett. 9, 114–117 (1966)
J.B. Khurgin, Mirrorless magic. Nat. Photonics 1, 446–448 (2007). (and ref. therein)
Acknowledgments
This work was supported in parts by the US Air Force Office of Scientific Research under Grant No. FA950-12-1-298, by the US National Science Foundation under Grant No. ECCS-1028353, by the Presidium of the Russian Academy of Sciences under Grant No. 24-31 and by the Russian Federal Program on Science, Education and Innovation under Grant No. 14.A18.21.1942.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Popov, A.K., Shalaev, M.I., Myslivets, S.A. et al. Unidirectional amplification and shaping of optical pulses by three-wave mixing with negative phonons. Appl. Phys. A 115, 523–529 (2014). https://doi.org/10.1007/s00339-013-8078-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00339-013-8078-4