This report is devoted to development of new method of wave equation solution analysis of the boundary diffraction problem. This method is based on singular wave component that is derived from a rigorous Sommerfeld’s solution. Unlike a traditional boundary wave, proposed unit cell wave hasn’t an amplitude break and exists really, that allows to obtain the analytical description form of diffraction on a complex amplitude-phase screen. The structure of the diffraction field not only in far zone but also in near diffraction zone depending on profile of the amplitude-phase diffraction grating are presented. The possibility of using the new method for computer modeling of diffraction on a liquid-crystal amplitude-phase mask, which consists of squared cells, for a wavefront reconstruction, structured light beam generation, and image composition is considered. It was shown that the result of diffraction on arbitrary aperture can be treated as a discrete sum of elementary unit cell waves, and diffracted field can be represented via orthogonal wave functions that play a role of eigenmodes as plane waves in free space.

© 2003 Optical Society of America

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