Phase matching analyses of anti-Stokes pulses with four wave mixing in birefringence photonic crystal fibers

An analysis into the phase matching condition of four-wave-mixing in highly birefringence photonic crystal fiber is presented to yield 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 high order dispersion can ignored result with the anomalous dispersion region in contrast conclusion, which is in good agreement with the experiment results. Furthermore, there exists to guide the polarization, power-independent anti-Stokes emissions.