The dependence of noncollinear angle and the corresponding grating periods on signal wavelength for satisfying quasi phase-matching and group velocity matching simultaneously of periodically poled RbTiOAsO4 in noncollinear quasi phase-matched are carried out.The tuning characteristic of noncollinear interaction in group velocity matching situation is analyzed.The dependence of the gain bandwidth on the noncollinear angle,temperature,crystal angle and grating periods are simulated in detail.The dependence of gain bandwidth on crystal temperature for the biggest gain bandwidth and group velocity matching is compared in detail.