From three respects such as mathematical principle,geometric stratification
and numerical calculation,we have studied the convergence of rigorous coup
led-wave approach (RCWA) in solving the grating diffraction problems. The a
pproaches which can be applied to improve the convergence of RCWA are propo
sed,It is found that,for different cases of grating,the major factors affec
ting the convergence of RCWA are different. Therefore,the improving methods
should be practically chosen for concrete case of grating.