In order to achieve the intensity in the vector light field applicable not far away from the laser diode when applying diffractive optics to shape the beam of laser diode,Kirchhoff diffractive theory and Fresnel approaching method under nonparaxial condition was adopted to derive out each electromagnetic component s distribution and the MATLAB language was adopted to compute the numerical result.

The Analysis of the Non-paraxial Effects of the Ultrashort Pulsed Beam in Free Space;

For studying the character of Hermite-sine-Gaussian (HSiG) beam in non-paraxial case,based on the theory of the second intensity moment and a series of complex calculations,the results of the far-filed divergence angle,waist width and M~2 factor of non-paraxial Hermite-sine-Gaussian beams are derived,and the relationship of them versus the acentric parameters are studied by calculation and plot.

Study on comparison of vector and scalar representations of nonparaxial symmetrical Gaussian beam;

Propagation of nonparaxial vector Gaussian beam;

The vectorial nonparaxial propagation method of the few-cycle ultrashort pulsed beam in free space;

The nonparaxial theory is applied to analyze the color blur of the annular aperture rainbow hologram where the paraxial approximation is invalid due to the largeincident angle of object wave.