System of forward and backward multiwawe SRS equations

1
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.
2
Principle of quasi-phase matching at SRS

• Generalized phase on active layers input do not
  practically change, that in a final result
  provides a realization of quasi-phase matching
  conditions

3
Raman gain dispersion
Barium nitrate
Hydrogen
4
Backward SRS vs. QPM realization
High SRS components vs. calc. precision
5
Influence of input waves parameters on
anti-Stokes generation efficiency
6
The influence of pump wavelength on anti-Stokes
generation efficiency
7
The effective generation of anti-stokes radiation
in one dimensional photonic crystals
?11, ?213, l1175.0000 nm, l2287.8774 nm ?
?0.263 rad/cm eff_a30.1 ?11, ?213,
l1175.037 nm, l2287.870 nm ? ?0.004 rad/cm
eff_a29.8
Effective wave vector in one-dimension photonic
crystal
8
Conclusions

• 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

9
References

• 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.,
  Staselko 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.