Based on the nonparaxial vectorial moment theory of light beam propagation proposed by Porras,the characteristic parameters,such as the beam width,far-field divergence angle and M2 factor of nonparaxial vectorial Laguerre-Gaussian (LG) beams with initial circular polarization,are derived and expressed in terms of a series sum.

To increase the effective width range of SP rolling mill's dies, a crank block was added to the synchronization mechanism and the aggregate kinematics model was built with vector theory, and the model was analyzed with complex method to optimize the length of uniform motion section and length of maximum side pressure of the die.

A vector theory for diffraction of multi step phase grating is presented.

The processor could be applied to Synthetic Aperture Radar (SAR) and other fields which require real\|time calculating FFT, correlation, convolution, and other vector processing.

Creating the parameter of reticulation route data by using the way of automatic vector processing Calculated the mileage with reticulate route is the masty difficulty in course of calculated railage.

The result expatiates that the combination of predicted vectorless test and in circuit test with boundary scan test is a dominant method to test circuit board in future.