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Method principle. Layer lengths selection. (3) 0. (3) =0. Zoom. L a (opt). H 2. H 2. H 2. L p (opt). H 2. Raman active medium. Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg , 6 – 9 June 200 3. Makarov N.S. , mak_nick@newmail.ru.
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Method principle Layer lengths selection (3)0 (3)=0 Zoom La(opt) H2 H2 H2 Lp(opt) H2 Raman active medium Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru System of forward and backward multiwawe SRS equations ji – wave mismatching, gj± – steady-state Raman gain coefficient, j – frequencies of interacting waves, Ej±– complex wave amplitudes In simulations we used various Raman-active media, like hydrogen, barium nitrate, silica fiber, photonic crystals. The efficiency of anti-Stokes generation reached about 30% and practically compared to Stokes generation efficiency. The efficiency of high-order components was negligible.
Principle of quasi-phase matching at SRS , rad (3)0 (3)=0 Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru • Generalized phase on active layers input do not practically change, that in a final result provides a realization of quasi-phase matching conditions
Raman gain dispersion Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru Barium nitrate Hydrogen
Backward SRS vs. QPM realization Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru High SRS components vs. calc. precision
Influence of input waves parameters on anti-Stokes generation efficiency Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru
The influence of pump wavelength on anti-Stokes generation efficiency Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru
The effective generation of anti-stokes radiation in one dimensional photonic crystals Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru 1=1,2=13, l1=175.0000 nm, l2=287.8774 nm =0.263 rad/cm; eff_a=30.1% 1=1,2=13, l1=175.037 nm,l2=287.870 nm =0.004 rad/cm; eff_a=29.8% Effective wave vector in one-dimension photonic crystal
Conclusions Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru • Our model of forward and backward multiwave SRS is the extension of multiwave SRS model and it may be reduced to well-known systems of forward multiwave SRS and backward SRS • For best accuracy of QPM SRS simulations it is necessary to take into account the dispersion of Raman gain coefficient • The influence of backward SRS on QPM structure realization results in the small difference between layers length of optimal QPM structure and small decreasing of resulting anti-Stokes conversion efficiency (~25% at backward and forward SRS, ~30% at forward SRS), however it is still high enough • For studying of multiwave SRS influence on QPM structure realization it is necessary to take into account the generation at least of 3 Stokes and 3 anti-Stokes SRS components • The effective anti-Stokes SRS generation occurs in a wide range of input radiation parameters • It is possible to use one-dimension photonic crystals for high effective (up to 30%) anti-Stokes SRS generation
References Quasi-phase matched anti-Stokes stimulated Raman scattering; Saint-Petersburg, 6 – 9June 2003 Makarov N.S., mak_nick@newmail.ru Bespalov V.G., bespalov@admiral.ru • Armstrong J.A., Bloembergen N., Ducuing J., Pershan P.S. // Phys. Rev., 1962, 127, pp. 1918-1939. • Bespalov V.G., Makarov N.S. Quasi-phase matching generation of blue coherent radiation at stimulated Raman scattering // Optics Communications 2002, 203 (3-6), pp. 413-420. • Maier M., Kaiser W., Giordmaine J.A. Backward stimulated Raman scattering // Phys. Rev., 1969, V. 177, №2, pp. 580-599. • Raijun Chu, Morton Kanefsky, Joel Falk Numerical study of transient stimulated Brillouin scattering // J. Appl. Phys., 1992, V. 71, №10, pp. 4653-4658. • Zaporozhchenko R.G., Kilin S.Ya, Bespalov V.G., Stasel’ko D.I. Formation of the spectra of backward stimulated Raman scattering from the quantum noise of polarization of a scattering medium // Opt.&Spectr., 1999, V. 86, №4, pp. 632-639. • Bischel W.K., Dyer M.J. Wavelength dependence of the absolute Raman gain coefficient for the Q(1) transmission in H2 // J. Opt. Soc. Am. B, 1985, V. 3, pp. 677-682. • Nefedov I.S., Tretyakov S.A. Photonic band gap structure containing metamaterial with negative permittivity and permeability // Phys. Rev. E, 66, 2002, p. 036611.